which point shows 1/3​

Which Point Shows 1/3

Answers

Answer 1

Answer:

can you please show more info?


Related Questions

Which expression is a difference of squares with a factor of 2x + 5? 4x2 + 10 4x2 – 10 4x2 + 25 4x2 – 25

Answers

Answer:

  4x^2 -25

Step-by-step explanation:

The other factor of the difference of squares is the "conjugate" of the given one: (2x -5). Then their product is ...

  (2x +5)(2x -5) = (2x)^2 -(5)^2 = 4x^2 -25

Answer:

The Answer On Edge Is D.), Have Fun Dreamers!

Step-by-step explanation:

Guys anyone please help . Please explain how to solve these questions it gives the answers but I need expiation (Calculus) ,I’ll give brainliest for the correct answer ! Pleasseee

Guys anyone please help . Please explain how to solve these questions it gives the answers but I need

Answers

9514 1404 393

Answer:

  (ii) center: (-3, 6)

  (iii) A(-3, 6-√51), B(7, 6), D(-3, 6+√51), H(-13, 6)

  (iv) (x +3)²/100 +(y -6)²/51 = 1

Step-by-step explanation:

(ii) The center is the midpoint between the foci:

  center = ((-10, 6) +(4, 6))/2 = (-10+4, 6+6)/2

  center = (-3, 6)

__

(iii) The vertices are the center plus or minus the semi-major axis length in the x-direction: (-3±10, 6).

The semi-minor axis length is the root of the difference of squares of the semi-major axis and the center-focus distance:

  semi-minor axis = √(10² -7²)

  semi-minor axis = √51

So, the co-vertices are the center plus or minus this value in the y-direction: (-3, 6±√51)

Using the labeling in the drawing the various points are ...

  A(-3, 6-√51), B(7, 6), D(-3, 6+√51), H(-13, 6)

__

(iv) For center (h, k) and semi-axis lengths 'a' and 'b' the equation of an ellipse is ...

  (x -h)²/a² +(y -k)²/b² = 1

For the center and axes here, the equation is ...

  (x +3)²/100 +(y -6)²/51 = 1

A student found the product of 7 x 10^3 and 5 * 10^8 to be 3.5 * 10^11 What is the error? What is the correctproduct? Complete the explanation

Answers

\(7\cdot10^3\cdot5\cdot10^8=(7\cdot5)\cdot(10^3\cdot10^8)\text{ = 35}\cdot10^{3+8}=35\cdot10^{11}\)

The student is off by a power of ten. The correct product is 35 x 10^11 or 3.5 x 10^12

Rewrite this exponential equation as a logarithmic equation. 4e^x=16

Answers

Answer:

The rewritten equation is: \(x = \ln{4}\)

Step-by-step explanation:

The inverse operation of the exponential is the natural logarithm, \(\ln\), and the following property is used to solve this question:

\(\ln{e^x} = x\)

In this question, we have that:

\(4e^x = 16\)

\(e^x = \frac{16}{4}\)

\(e^x = 4\)

Applying the natural logarithm to both sides:

\(\ln{e^x} = \ln{4}\)

\(x = \ln{4}\)

The rewritten equation is: \(x = \ln{4}\)

The equivalent logarithmic equation is: \(x = \log(4)\)

The exponential equation is given as:

\(4e^x=16\)

Divide both sides of the equation by 4

\(e^x=4\)

Next, take the logarithm of both sides (to convert the expression to a logarithmic expression)

\(\log(e^x)=\log(4)\)

The logarithm of e^x is x.

So, we have:

\(x = \log(4)\)

Hence, the equivalent logarithmic equation is: \(x = \log(4)\)

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One angle of an isosceles triangle measures 42°. what measures are possible for the other two angles? choose all that apply.

Answers

The measure of second angle and third angle of the isosceles triangle will be equal to 69° each.

What is an isosceles triangle ?

An isosceles triangle is a triangle which has two equal sides and two equal angles.

It is given that the first angle of an isosceles triangle is 42°. In a triangle sum of all angles is equal to 180°.

We know that in an isosceles triangle the measure of two angles and two sides are equal.

The measure of first angle is 42°. Let's assume the measure of second angle is x this meant the measure of third angle will be x too.

∵ Sum of three angles of a triangle = 180°

∴ 42 ° + ( x + x ) = 180°

or

42 ° + ( 2x ) = 180°

2x = 180° - 42°

2x = 138°

or

x = 69°

As measure of both unknown angles is same , so second angle and third angle will have a measure of 69° each.

Therefore , the measure of second angle and third angle of the isosceles triangle will be equal to 69° each.

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PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*.. IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

m = 2  b = 10

y = 2x + 10

Positive Slope

Step-by-step explanation:

Answer:

Explanation:

m = -2 and b = 10

Equation:

y = -2x + 10

Negative slope

Q3. Given that the area of sector below is 85cm^2 work out its radius, marked p on the
diagram.
Give your answer correct to 1 decimal place

Q3. Given that the area of sector below is 85cm^2 work out its radius, marked p on thediagram.Give your

Answers

The radius of the circle, marked p on the diagram, is approximately 5.8 cm.

What is radius?

Radius is a term used in geometry to describe the distance from the center of a circle to any point on the circumference. It is a line segment that has its two endpoints at the center of the circle and at any point on the circumference.

The area of a sector is equal to the fraction of the circle's area that the sector occupies multiplied by the area of the entire circle.
Therefore, the area of the sector is equal to (θ/360) × πr^2.
Since the area of the sector is given as 85 cm^2, we can rearrange the equation to get:
85 = (θ/360) × πr^2
Rearranging further, we get:
r^2 = (85 × 360)/(πθ)
Taking the square root of both sides, we get:
r = √((85 × 360)/(πθ))
Since the angle θ is not given, we cannot solve for r. However, we can approximate the angle θ to be equal to 360° since the sector occupies the entire circle.
Therefore, the radius of the circle is equal to:
r = √((85 × 360)/(π × 360))
r = √(85/π)
r ≈ 5.8 cm
Therefore, the radius of the circle, marked p on the diagram, is approximately 5.8 cm.

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Sample Responses Label axes according to input
and output variables. Plot the ordered pair of the
independent and dependent variable on the
coordinate plane. Identify if there is a relationship
Which of the following did you include in your
response?
O Label the x-axis the input variable, age.
O Label the y-axis the output variable, texting speed.
O Plot the points according to age and texting speed.
O Identify a relationship between the change in
texting speed as age increases.

Answers

The following elements were included in the response: labeling x-axis as age, labeling y-axis as texting speed, plotting points according to age and texting speed, and identifying a relationship between texting speed and age.

In the response, the following elements were included:

1. Labeling the x-axis as the input variable, age: This is important to indicate the independent variable being plotted.

2. Labeling the y-axis as the output variable, texting speed: This is crucial to indicate the dependent variable being represented.

3  Plotting the points according to age and texting speed: This involves placing the ordered pairs (age, texting speed) on the coordinate plane, with age values on the x-axis and texting speed values on the y-axis.

4. Identifying a relationship between the change in texting speed as age increases: By analyzing the plotted points and examining the pattern or trend, one can determine if there is a relationship between age and texting speed. For example, if the texting speed generally increases as age increases or if there is a linear or nonlinear relationship between the two variables.

Including all of these elements allows for a comprehensive analysis of the relationship between age and texting speed, providing a visual representation and enabling the identification of any patterns or trends.

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Order cube root of eighty-eight, twenty-eight ninths, square root of nineteen from greatest to least.

cube root of eighty-eight, twenty-eight ninths, square root of nineteen
twenty-eight ninths, square root of nineteen, cube root of eighty-eight
twenty-eight ninths, cube root of eighty-eight, square root of nineteen
cube root of eighty-eight, square root of nineteen, twenty-eight ninths

Answers

Answer:

  (a)  twenty-eight ninths, square root of nineteen, cube root of eighty-eight

Step-by-step explanation:

When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.

Order

The attachment shows the ordering, least to greatest, to be ...

  \(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)

__

Additional comment

We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.

One way to do the comparison is to convert these to values that need to have the same root:

  √19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)

  ∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)

The roots will have the same ordering as 19³ and 88².

Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...

  19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859

  88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744

Then the ordering is ...

  28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Order cube root of eighty-eight, twenty-eight ninths, square root of nineteen from greatest to least.

Answer:

the ordering is

28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Step-by-step explanation:

9. A vendor is going to pack okra in bundles. What is the least number of okra that could be sold
in bundles of 3 and 5?
A. 10 bundles
B. 12 bundles C. 15 bundles D. 18 bundles​

Answers

Answer:

C. 15 bundles

Step-by-step explanation:

In this scenario, the okra seller intends selling his products in bundles of 3 and 5. This simply means that each bundle would either contain 3 okra or 5 okra.

Hence, to find the least number of okra that could be sold in these bundles, we would find the lowest common multiple (LCM) of 3 and 5.

LCM = 3 * 5

LCM = 15

Therefore, 15 is least number that okra can be packed in bundles of 3 and 5 because it's the lowest number that could be divided by both numbers at a time.

Abi takes out a loan that gathers compound interest. The table below shows the value of the loan over time. a) What is the rate of interest per annum? Give your answer as a percentage to 1 d.p. b) Work out the value of the loan 10 years after it starts. Give your answer in pounds (£) to the nearest 1p. Start After 1 year After 2 years £2500.00 £2645.00 £2798.41​

Answers

(a) We can use the formula for compound interest to find the rate of interest per annum: A = P * (1 + r/n)^(n*t), where A is the final amount, P is the principal amount, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the time in years.

Using the table, we can see that the loan increases by a factor of 1.058 after 1 year and by a factor of 1.058/1.045 = 1.0124 after 2 years. Thus, we have:

1.058 = (1 + r/n)^(n*1)
1.0124 = (1 + r/n)^(n*2)

Dividing the second equation by the first, we get:

1.0124/1.058 = (1 + r/n)^(n*1)

Taking the nth root of both sides, we get:

(1 + r/n) = (1.0124/1.058)^(1/n)

Solving for r, we get:

r = n * [(1.0124/1.058)^(1/n) - 1]

We don't know the value of n, but we can make an educated guess that it's either 1 or 2, since the loan is increasing by roughly 5.8% per year. If we try n = 1, we get:

r = 1 * [(1.0124/1.058)^(1/1) - 1] = -0.0427

This is clearly not the correct answer, since the interest rate cannot be negative. If we try n = 2, we get:

r = 2 * [(1.0124/1.058)^(1/2) - 1] = 0.0574

This is a reasonable answer, since it's close to the observed increase in the loan value of 5.8% per year. Therefore, the rate of interest per annum is 5.7% to 1 d.p.

(b) Using the formula for compound interest, we can find the value of the loan 10 years after it starts:

A = P * (1 + r/n)^(n*t) = 2500 * (1 + 0.0574/1)^(1*10) = £4,745.60 (to the nearest 1p

Answer:

25000

Step-by-step explanation:

If a right triangle has sides of length 3 and 6, what is the length of the hypotenuse?

Answers

Answer:

Length of the hypotenuse = 3√5 units

Step-by-step explanation:

Given:

Right triangle sides

a = 3

b = 6

Find:

Length of the hypotenuse

Computation:

Length of the hypotenuse = √a² + b²

Length of the hypotenuse = √3² + 6²

Length of the hypotenuse = √9 + 36

Length of the hypotenuse = √45

Length of the hypotenuse = 3√5 units

By what number should (-24)-¹ be divided so that the quotient may be equal to 3-¹ ?​

Answers

Step-by-step explanation:

hi do u wanna talk ????????????????

do u have bffffffffffffff‽??????‽??????‽??????

Answer:

It should be divide by (-8)^(-1)

Step-by-step explanation:

Let the number be 'x'

\(\dfrac{(-24)^{-1}}{x}=3^{-1}\\\\(-24)^{-1}=3^{-1}*x\\\\\\ \dfrac{(-24)^{-1}}{3^{-1}}=x\\\\ (\dfrac{-24}{3})^{-1}=x\\\\x = (-8)^{-1}=\)

The graph of a secant function shows no functional values on (−12, 12). The asymptotes of the function occur every π units.


Which function represents the secant function described?


f(x)=sec(x)+12

f(x)=12sec(x2)

f(x)=sec(x2)+12

f(x)=12sec(x)

Answers

Answer:

f(x)=12sec (x)

Step-by-step explanation:

I just took the test and got the correct answer :)

The function that represents the secant function described is:

f(x) = 12sec(x)

The reason is as follows:

1. The secant function is defined as sec(x) = 1/cos(x).

2. The graph of the secant function has vertical asymptotes at odd multiples of π (π, 3π, 5π, etc.) where the cosine function equals zero.

3. The given function f(x) = 12sec(x) represents a vertical scaling of the secant function by a factor of 12, but it keeps the same periodic behavior and vertical asymptotes at odd multiples of π.

The other options do not represent the described properties of the secant function on the given interval and asymptotes every π units. Therefore, the correct answer is:

f(x) = 12sec(x)

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Find the average of the following set offractions (do not use decimals).{ 42, 1/8, 44, 5/8, 3/4 }

Answers

SOLUTION

The average of the 5 numbers become

\(\begin{gathered} \text{Average =}(\frac{42}{1}+\frac{1}{8}+\frac{44}{1}+\frac{5}{8}+\frac{3}{4})\text{ divided by 5} \\ \\ \text{Average = }\frac{336+1+352+5+6}{8}\text{ divided by 5} \\ \\ \text{Average = }\frac{700}{8}\text{ divided by 5} \\ \\ \text{Average =}\frac{700}{8}\times\frac{1}{5} \\ \frac{700}{40} \\ \\ \frac{70}{4} \\ \\ \frac{35}{2} \\ \\ \text{Average = 17}\frac{1}{2} \end{gathered}\)

ARCHITECTURE An architect models the floor,
walls, and ceiling of a building with planes. To locate
one of the planes that will represent a wall, the
architect starts by marking off two points in the plane
that represents the floor. What further information can
the architect give to specify the plane that will
represent the wall?

Answers

Walls are always perpendicular to the floor, so that the further information required are:

The walls are perpendicular to the floor at the marked points, thus on the vertical planeThe heights of the walls should be marked on the vertical plane representing the walls

A plane is a flat surface which can be in a position with respect to either x - axis, y - axis or z - axis.

Generally in buildings, floors are usually along the horizontal plane that is parallel to the surface of the ground. And walls are along the vertical plane perpendicular to floors .

So that in the given question, the floor is on the horizontal plane, and the walls would be vertical to the floor at the marked points. Further information to specify the plane that will represent the walls are:

The walls are perpendicular to the floor at the marked points, thus on the vertical planeThe heights of the walls should be marked on the vertical plane representing the walls

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Which statements are true regarding the expression below? Choose three answers. 8 ^-1. 8 ^-3. 8

Which statements are true regarding the expression below? Choose three answers. 8 ^-1. 8 ^-3. 8

Answers

The statements that are true regarding the expression with the exponents -1, -3, and 1 are;

An equivalent expression is 8⁷·8⁻¹⁰The sum of the exponent is -3The value of the expression is 1/512

What is an exponent?

An exponent is a quantity or power to which a value, expression or number is to be raised.

The specified expression can be presented as follows;

8⁻¹ × 8⁻³ × 8

Therefore; 8⁻¹ × 8⁻³ × 8 = 8⁽⁻¹ ⁺ ⁻³ ⁺ ¹⁾ = 8⁻³ = 1/8³

The sum of the exponent is; -1 + (-3) + 1 = -3

1/8³ = 1/512

Therefore, the value of the expression is; 1/512

Similarly, we get; 8⁷ × 8⁻¹⁰ = 8⁽⁷ ⁻ ¹⁰⁾ = 8⁻³ = 1/8³

Therefore, 8⁷ × 8⁻¹⁰ and 8⁻¹ × 8⁻³ × 8 are equivalent expressions

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Simplify (-3/5) divided by (7/6)

Answers

-18/35 is the answer to (-3/5) divided by (7/6)


Kristen has
yards of ribbon. She wants to cut it into equal parts to make hair ribbons for her daughter's 9 dolls. How long, in yards, will each doll's hair ribbon be?

Answers

Answer:

1 tenth a yard to have 1 tenyard left

Step-by-step explanation:

Add quotation marks to the
sentence.
Take out your pencil, said
the teacher.

Answers

Answer:'' take out your pencil,'' said the teacher

Step-by-step explanation:

Use the graph to answer the question.

Determine the translation used to create the image.
A. 7 units to the right
B. 7 units to the left
C. 3 units to the right
D. 3 units to the left

Use the graph to answer the question.Determine the translation used to create the image.A. 7 units to

Answers

The correct option is A, we have a translation of 7 units to the right.-

How to determine the translation?

To find it, we need to analyze two correspondent vertices.

We can see that vertex A is at (1, 5), while the correspondent vertex A' is at (8, 5)

Taking the difference between that, we will get:

A' - A = (8, 5) - (1, 5) = (8 - 1, 5 - 5) = (7, 0)

The first value gives the horizontal translation and the second the vertical one

So,we have a translation of 7 units to the right, the correct option is A.

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At the office supply store, a ream of paper costs $5.89 and a cartridge of ink costs $38.40. Delilah needs to buy 8 reams of paper and 6 cartridges of ink for her office. She needs to know how much money to bring, so estimate the cost of these supplies.

Answers

Answer:

Step-by-step explanation:

Delilah needs to buy 8 reams of paper which cost $5.89 each, $5.89 x 8 = $47.12

Delilah needs to buy 6 cartridges of ink which cost $38.40 each, $38.40 x 6 = $230.4

We then add $230.4 and $47.12

$230.4 + $47.12 = $277.52.

Delilah needs to bring $277.52 to cover the cost of her supplies.

Which of the following equations is 2x + 3y = 6 written in slope-intercept form.
oy--(2/3)x + 6
y=-2/3)x+ 2
y=-(3/2)x+ 2

Answers

Answer: \(y=\frac{-2}{3}x+2\)

Step-by-step explanation:

In slope-intercept form y is isolated

So Let's solve for y.

\(2x+3y=6\)

Step 1: Add -2x to both sides.

\(2x+3y+-2x=6+-2x\\3y=-2x+6\)

Step 2: Divide both sides by 3.

\(\frac{3y}{3} =\frac{-2x+6}{3} \\y=\frac{-2}{3}x+2\)

Find the total area of the shaded region. Ay 1.5- 14 x=5y3 (5,1) * = 5y? 0.5- х 07 0 2.5 5 7.5 Find the area of the region enclosed by the curves x= x = 7y?, x=0, and y=1. The area of the region enclosed by the curves is (Type a simplified fraction.)

Answers

The total area of the shaded region for the region x = 5y³ , x = 5y² in the interval ( 5, 1 ) is equal to ( 5 / 12 ).

From the attached graph :

The area of the shaded region :

x = 5y³ , x = 5y² for the interval ( 5, 1 ) is equal to :

= \(\int\limits^1_0 {( 5y^{2 } - 5y^{3 }}) \, dy\)

=  [ ( 5y³/3 ) - ( 5y⁴ / 4 ) ]\(| \limits^1_0\)

Substitute the lower limit and upper limit we get,

= (5 /3 )( 1 )³ - 0  - ( 5 / 4 )( 1⁴) + 0

= ( 5 / 3 ) - ( 5 / 4 )

= ( 20 - 15 ) / 12

= 5 / 12

Therefore, the total area of the shaded region in the given graph for the lower and upper limit is equal to ( 5 / 12 ) .

The given question is incomplete, I answer the question in general according to my knowledge:

Find the total area of the shaded region x = 5y³ , x = 5y² for the interval

( 5, 1 ).

Graph is attached.

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Find the total area of the shaded region. Ay 1.5- 14 x=5y3 (5,1) * = 5y? 0.5- 07 0 2.5 5 7.5 Find the

22) Original price of shorts: $19.9 Tax: 2%​

Answers

Answer:

$20.298, round to $20.30

Step-by-step explanation:

The orginal price of the shorts are $19.90, and the tax is 0.02 (2%), so you multiple 19.90*0.02, which is $0.398, and then you add it to $19.90 to get $20.298.

Answer:

$0.39 cents

Step-by-step explanation:

2% of 19.9 is 0.398 but we will just say 39 cents :)

A can of soda is placed inside a cooler. As the soda cools, its temperature T(x) in degrees Celsius is given by the following exponential function, where is the number of minutes since the can was placed in the cooler.

T(x)=-22+44e^-0.03x

Find the initial temperature of the soda and its temperature after 18 minutes.

Answers

Answer:

Ans: -21.87 ≅ -22°C

Step-by-step explanation:

T(x)=-22+44e^-0.03x

 

Initial temperature (x = 0):

 

T(0) = = -22 + 44e-0.03(0) = -22 + 44(1) = 22°C

 

After 18 minutes (x = 18):

 

T(18) = -22 + 44e-0.03(18) = -21.87°C ≅ -22°C

Solve #19 and show explanation

Solve #19 and show explanation

Answers

The next equation will be 6²-4²=2×10.

Here, we have given three equations and we have to find out the next equation.

The first three equations are like this

1. 3²-1²=2×4

2. 4²-2²=2×6

3. 5²-3²=2×8

Now,

As from the equation

On the L.H.S. we can see that every time it is creating a sequence

Like,  every time it is subtracting square value of the one’s from the another number’s square

Which is the value we got from adding 2 in first value.

And on the R.H.S.

We can say that every time 2 multiplies with the next even number than the previous one

So,

The last equation was 5²-3²=2×8

Therefore,

The next equation will be

6²-4²=2×10

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What is the name of the shape that
has one more side than the
shape below?
A. Pentagon
B. Trapezoid
C. Rectangle
D. Hexagon

Answers

Answer:

a. hexagon

b. pentagon

c. also pentagon

d. heptagon

Step-by-step explanation:

There is no shape to compare to as your question indicates. I can help with this.

These shapes have the following sides.

A. Pentagon = 5 sides

add 1 side = hexagon

B. Trapezoid = 4 sides

add 1 side = pentagon

C. Rectangle = 4 sides

add 1 side = pentagon

D. Hexagon = 6 sides

add 1 side = heptagon






si ABCD son los vertices de un cuadrado y A(2,2) y C (10,8) 2 vertices opuestos. Hallar los otros dos vertices, dar como respuesta la mayor de las ordenadas

Answers

The area of the square is given as 100 square unit

How to determine the area of square?

You should be aware that the square has all its sides equal

The perpendicular from opposite vertices represent distance

The given vertices are

(2,2) and (10,8)

Using the formula for distance between two points

d=√(10-2)²+(8-2)²

d=√8²+6²

d = √64+36

d=√100

This implies that d=10

The area of a square is given as s²

Area = 10²

Atrea = 100 square units

In conclusion, the area of the square is 100 square units

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Translated question:

The vertices of a square ABCD are A(2,2) and B(10,8), Find the area of the square

si ABCD son los vertices de un cuadrado y A(2,2) y C (10,8) 2 vertices opuestos. Hallar los otros dos

CAN SOMEONE PLEASE HELP ME WITH THIS!

Answers

Answer: Ummm- the picture is all blank

The angles are equivalent to each other.

Do the rest yourself referencing to what I did ^-^

CAN SOMEONE PLEASE HELP ME WITH THIS!
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!!someone please help me with this multi choice question. please help me!!!What is the main purpose of physically taking notes during a classroom lecture?A)Taking notes supports your ability to understand so you can later recall what you heard.B)Taking notes improves your ability to understand a presentation that is confusing or poorly organized.C)Taking notes distinguishes relevant concepts, facts, and ideas from unimportant or trivial information.D)Taking notes helps you to pay attention lecture. The form of the partial fraction decompotion of 3/(x^2 (x+3)(x^2+16)) isa.) (A+Bx)/x^2 + C/(x+3) + (Dx+E)/(x^2+16)b.) A/x + (Bx+C)/x^2 + D/(x+3) + (Ex+F)/(x^2+16)c.) A/x + B/x^2 + C/(x+3) + (Dx+E)/(x^2+16)d.) A/x+ B/x + C/(x+3) + (Dx+E)/(x^2+16) Many bank accounts never go below zero. But some banks will allow a negative balance, at least for a short time, called an overdraft. It means someone has taken out, or 'drafted', more money than was in the account to begin with. Joshua's account went into overdraft. To get back to a positive balance, he deposited money at a steady rate of $22.5 per week. After 4 weeks, he had $69.21 in the account. What was the balance when the account went into overdraft? Graph the equation -x-2y=8 and -2x+2y=- -2 Cognitive dissonance explains the resultant unpleasant feelings experienced when our attitudes and behavior are:______ Gross domestic product is equal to the sum of all of the following EXCEPT: A. personal consumption expendituresB. net exportsC. government expenditures D. personal savings in banks How and why did monotheism develop in the Hebrew Kingdoms?Explain. Respond in 250 words. give 5 applications of radiation in physics A patient suffering from a spinal fracture due to osteoporosis is likely to be treated by which procedure? 10) A drug causes side effects for 18% of patients. If the drug is given to 230 patients, find the probability that the number ofpatients who experience side effects isa)exactly 35b) less than 30c) between 37 and 45 inclusived)more than 5011) Let the random variable X represent the number of patients who experience side effects in problem #10.a)Compute the mean, variance, and standard deviation of X.b) Interpret the mean.C)Would it be unusual if 32 patients experienced side effects? (explain why or why not) a) Su-Lo scored 45% in her test out of 80.what mark did shescore? why do thermometers have two sets of numbers On January 1 , 2010 , Pine Grove Country Club purchased a new riding mower for $ 15 , 000 . The mower is expected to have an 8 year life with a $ 1 , 000 salvage value. What journal entry would Pine Grove make on December 31 , 2010 , 2011 , if it uses straight-line depreciation? What surface can only vacuum metal deposition be used on?Porous surfacesNon-porous surfacesMetalsFabrics What are some risk factors during adolescence that can predict later violence? 1. Record investment by the owner.2. Record purchase of equipment on credit.3. Record purchase of equipment with cash4. Record provision of service for cash.5. Record provision of service on accouChristina Reis is a photographer who owns Lola Lemon Photography. This is the first month of operations. The following are the transactions for the month of September. a. On September 1, Reis invested You have the following information: stock A stock B risk-free return 15% 22% 3% Var 40% 80% 0 cov 20% Compute the lowest variance portfolio of A and B while targeting a portfolio return of 24% PLEASE HELP IM SUPER STUCK n/4 + 12 =18 i will give brainllest If f ( x ) = 3 x + 2 and g ( x ) = x 2 x , find the value. f ( 4 )