Find AC.

B
7x6
6x +4

Answer:

A) true

B) true

C) true

hope that helps :)

Answer:

how many hours do you spend on your laptop

Answer:

the question is 17 hours - 2 hours

Answer:

the second and the last one

Step-by-step explanation:

answer was revealed on edg after i took quiz

The option (2) As x → ∞, y → ∞, and option (6) As x → –∞, y → –∞ are correct if the function f(x) = (x - 2)(x + 2)/(x + 1).

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function shown in the picture.

f(x) = (x - 2)(x + 2)/(x + 1)

The above function is a fractional function:

The denominator of the function cannot be zero:

x + 1 ≠ 0

x ≠ -1

From the graph of a function:

If x → ∞, y → ∞

If x → –∞, y → –∞

Thus, the option (2) As x → ∞, y → ∞, and option (6) As x → –∞, y → –∞ are correct if the function f(x) = (x - 2)(x + 2)/(x + 1).

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Part I: Complete the Square

\(y=-6x^2 + 36x-12\\ \\ y=-6(x^{2}-6x)-12\\\\ y=-6\left((x-3)^{2}-9 \right)-12\\\\y=-6(x-3)^{2}+54-12\\\\\boxed{y=-6(x-3)^{2}+42}\)

Part II: Graph of the function

See the attached image for the complete graph.

After completing the square, the equation of the quadratic is in vertex form, and so the vertex is at (3, 42).

Also, as the coefficient of \(x^2\) is negative, the graph opens down.

Once you figure this out, find the coordinates of some other points on the graph and connect them in the shape of a parabola.

Part III: Line of symmetry

The axis of symmetry is the vertical line passing through the vertex. In this case, it is x = 3.

Part IV: Maximum/minimum value

The maximum/minimum value is the y-coordinate of the vertex. In this case, it is 42.

The scale factor of the drawing is 200.

The first step to take when looking for the scale factor of a drawing is to ensure both measurements are on the same unit.

Given a scale for a drawing to be:  1 mm: 20 cm

1 cm = 10 m

Therefore:

20 cm = 200 mm

Scale factor = 200/1 = 200.

Therefore, the scale factor of the drawing is 200.

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The final answer for the surface area of the prism is 32 m^2 + 16h m^2.

To find the surface area of the prism, we need to calculate the area of each face and sum them up.

The prism has two identical square faces and four rectangular faces. The square face has a side length of 4 m. The area of one square face is given by:

Area of square face = side length^2 = 4^2 = 16 m^2

Since there are two square faces, the total area of the square faces is:

Total area of square faces = \(2 * 16 = 32 m^2\)

The rectangular faces have a length equal to the side length of the square face (4 m) and a width equal to the height of the prism. Let's assume the height of the prism is h. The area of one rectangular face is given by:

Area of rectangular face = length * width = \(4 * h = 4h m^2\)

Since there are four rectangular faces, the total area of the rectangular faces is:

Total area of rectangular faces = \(4 * 4h = 16h m^2\)

Therefore, the surface area of the prism is the sum of the areas of the square and rectangular faces:

Surface area of prism = Total area of square faces + Total area of rectangular faces

                          = \(32 m^2 + 16h m^2\)

                          = \(32 m^2 + 16h m^2\)

The answer for the surface area of the prism is 32 m^2 + 16h m^2.

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The position of  √17 between 4 and 5, which is nearer 5, and the location of 6, which is between 2 and 3, which is nearer 2.

A visual representation of real numbers in a linear manner is a number line. It is a straight line that is divided into intervals or segments, each of which stands for a distinct real number value.

Number lines can be vertical or horizontally oriented, and they can also have a positive or negative orientation. Positive numbers often extend to the right or up, whereas negative numbers typically extend to the left or down. The origin of the number line, or zero, is typically situated in the middle of the line.

The number line is a crucial tool in mathematics since it offers a means of representing numerical relationships visually and carrying out fundamental arithmetic operations. For instance, positive and negative motions along a number line can be used to depict addition and subtraction, respectively, with positive movements denoting addition and negative movements denoting subtraction. On a number line, multiplication and division can alternatively be shown as repeated addition or subtraction.

If we have a number line with the proper markings, we may indicate where the square roots of 17 and 6 are located as follows:

To begin, determine the approximate square root values:

√17 is between 4 and 5, since 4² = 16 and 5² = 25.

√6 is between 2 and 3, since 2² = 4 and 3² = 9.

Place the number √17 closer to 5, between 4 and 5.

Place the number √6 between the numbers 2 and 3, closer to 2.

Since 6 and 17 are not integers and their values are not evenly spaced, it should be noted that their markings will not be evenly spaced on the number line.

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Number line attached below,

Answer:

Mira abajo

Step-by-step explanation:

un cuadrilátero es una forma con 4 lados y 4 vértices

After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:

Amount remaining = Initial amount × (1/2)^(number of half-lives)

In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.

So, the equation becomes:

Amount remaining = Initial amount × (1/2)^4

Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.

Simplifying the equation:

Amount remaining = Initial amount × (1/16)

Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

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The frequency of the function f(x) is 1/π.

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable. In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.

We need to find the frequency of given function;

f(x)=1/4 cos(2x)+5

To finding the period and then use the general relation frequency

frequency = 1/period

In the given function f(x)=1/4 cos(2x)+5 here, only the constant 2 which will multiply with x effects the period.

As we know that 2π is the period of cosx then the period of cos(2x) is

2x=2π

x=π

So, the period of cos(2x) is π

Now the frequency is F=1/π

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The revised Doubtful Debts Provision should be, $4,555.

Now, Using a net debtors value of $91,100 and a provision rate of 5%, use the calculation to get the adjusted Provision for Doubtful Debts (PDD):

Net Debts x Provision Rate equals Adjusted PDD.

The computation would then be:

= $91,100 x 0.05

= $4,555 is the adjusted PDD.

Because of the additional $550 in bad debt and the revised net debtors value of $91,100, the Provision for Doubtful Debts must be raised by ,

= $4,555 - $3,500

= $1,055

Hence, The revised Doubtful Debts Provision should be $4,555.

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Answer:

E. by the SAS similarity theorem.

Step-by-step explanation:

Included angle x° in ∆ ABC ≅ included angle x° in ∆EDC (vertical angles are equal)

DC/BC = 240/150 = 1.6

EC/AC = 320/200 = 1.6

This implies that the ratio of two corresponding sides of both triangles are the same.

Two triangles are considered similar to each other by the SAS similarity theorem of they have a corresponding included angle that is equal and two corresponding sides that are congruent to each other. Therefore, both triangles are similar by the SAS similarity theorem.

There is a Weak positive association between the amount of goals scored and the number of wins a hockey team has. Most of the data points fall between 4 goals scored and 5  number of wins. Causation cannot be established because their relationship was not in a controlled setting.

When if a relationship between two variables is said to be  negative, it is one that does not just necessarily mean that the association is weak. Although though both variables tend to increase in reaction to one another, a weak positive correlation depicts that the relationship is not very strong.

Therefore, even though  the data tells us that there is a weak positive relationship that exist between the two variables, it is vital to know that that correlation does not equal causation.

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Answer: the Ferris Wheel

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

9x+5=50

9x=45

x=5

Brianna can buy up to 5 books without spending more than her gift certificate amount.

Two or more expressions with an Equal sign is called as Equation.

If each book costs $9 and Brianna has a $50 gift certificate, we can start by dividing the total amount she can spend by the cost of each book.

$50 gift certificate / $9 per book = 5.55 books

Since Brianna cannot buy a fractional part of a book, she can only purchase a whole number of books.

Therefore, the maximum number of books she can buy without spending more than her gift certificate amount is 5 books.

Additionally, there is a $5 shipping charge for the entire order, so Brianna should make sure to factor this into her budget.

If Brianna buys 5 books at $9 each, the total cost of the books will be $45. Adding the $5 shipping charge brings the total to $50, which is the exact amount of her gift certificate.

Therefore, Brianna can buy up to 5 books without spending more than her gift certificate amount.

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Ok, so

We know that WZ and ZY are perpendicular, so XY and ZY has to be also perpendicular.

We also know that WY and XZ are similar sides, so:

Since 2 sides are congruent, they share a side and they are right triangles, by Pythagoras's theorem the third sides are also congruent. Both triangles share the ZY side, both have a 90° angle, and WY=XZ.

Question 2

ok, so

We know that all sides of a square are equal.

Notice that the diagonal, divides the square in two equal triangles.

As the triangles are equal, (because the hypotenuse is the same for both), both triangles are congruent.

The matrix is 3 × 3 square matrix . Its values are:

\(a_{11} = 50 \\ a_{12} = 44 \\a_{13} = -43 \\a_{21} = 31 \\a_{22} = 16 \\a_{23} = 7 \\a_{31} = 37 \\a_{32} = 119 \\a_{33} = 94\)

Given,

Matrix A and Matrix B

Now,

According to matrix multiplication rule first row of one matrix will be multiplied with first column of second matrix if the columns in first matrix is equal to the rows of second matrix.

So,

Apply multiplication rule,

\(a_{11} = 30 + 14 + 6 = 50 \\ a_{12} = 55 + 7 - 18 = 44 \\a_{13} = -20 -35 + 12 = -43 \\a_{21} = 24 - 2 + 9 = 31 \\a_{22} = 44 -1 -27 = 16 \\a_{23} = -16 + 5 + 18 = 7 \\a_{31} = 36 + 16 - 15 = 37 \\a_{32} = 66 + 8 + 45 = 119 \\a_{33} = -24 -40 -30 = -94\)

Thus the values of the matrix can be calculated.

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Answer:

sin(100°) = 0.985

sin(-100°) = -0.985

Step-by-step explanation:

In a unit circle, each point (x, y) on the circumference corresponds to the coordinates (cos θ, sin θ), where θ represents the angle formed between the positive x-axis and the line segment connecting the origin to the point (x, y).

Therefore, sin(100°) equals the y-coordinate of the point (-0.174, 0.985), so:

\(\boxed{\sin(100^{\circ}) = 0.985}\)

Similarly, sin(-100°) equals the y-coordinate of the point (-0.174, -0.985), so:

\(\boxed{\sin(-100^{\circ}) = -0.985}\)

In the unit circle the value of sin (100) = 0.985 and the value of sin (-100) = -0.985, in three decimal places.

The value of the sine of the angles is calculated by applying the following formula as follows;

The value of sin (100) is calculated as follows;

sin(100°) corresponds to the y-coordinate of the point (-0.174, 0.985) as given on the coordinates of the unit circle.

sin (100) = 0.985

The value of sin (-100) is calculated as follows;

sin(100°) corresponds to the y-coordinate of the point (-0.174, -0.985), as given on the coordinates of the circle.

sin (-100) = -0.985

Thus, in the unit circle the value of sin (100) = 0.985 and the value of sin (-100) = -0.985, in three decimal places.

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Answer:

b) office supplies

Step-by-step explanation:

Answer:

The distance of the point P(X,Y) from the origin O(0,0) is given by ,

OP = under root (X-0)² + (Y-0)².

i.e,

OP = under root X² + Y².

y-x=(x+y)²

x²+y²-x+y=0

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

To find the distance between any two points, we can use the distance formula:

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2\)

We want to prove that the distance between a point P(x,y) and the origin is:

\(d=\sqrt{x^2+y^2}\)

Remember that the origin is at (0,0).

So, let's prove it using the distance formula. Let's let the origin point (0,0) be (x₁, y₁) and let's let P(x, y) be (x₂, y₂). Substitute these values into the distance formula. This yields:

\(d=\sqrt{(x-0)^2+(y-0)^2\)

Subtract:

\(d=\sqrt{(x)^2+(y)^2\)

Simplify:

\(d=\sqrt{x^2+y^2}\)

This is the same equation as given.

Q.E.D.

Answer:

513.45

Step-by-step explanation:

use intelligence

Step-by-step explanation:

the slope is a line is always the factor of x.

and it is the ratio (y coordinate difference / x coordinate difference) when going from one point to another.

y = 2x + 4

has the slope 2. which is 2/1. so, for every increase of x by 1 unit, y increases by 2 units.

and this line has a y-intercept of 4 (the y-value when x = 0).

remember, the slope-intercept form of a line is

y = ax + b

a is the slope, b is the y-intercept.

a perpendicular slope (90°) turns that ratio upside down and flips the sign (because if the original line was going up, the perpendicular line is going down and vice versa).

so, the slope of the perpendicular line is -1/2.

the y-intercept was already given to us, so the desired line equation is

y = -1/2 x + 3

or

y = -x/2 + 3

Answer:

x + 10 = -5

|2x|=10

x<0

Answer: 15

Step-by-step explanation:

casue

Answer:

x = 1

Lemme know if you need the steps.

Please mark brainliest if possible :)

The equation of a line in the slope intercept form is expressed as

y = mx + c

where

m represents slope

c represents y intercept

Rearranging the equation so that it takes the slope intercept form, it becomes

- 4x + 3y = - 30

3y = 4x - 30

y = 4x/3 - 30/3

y = 4x/3 - 10

The y intercept is - 10

The graph is shown in the attached photo

We can see that the line cuts through the y axis at y = - 10. This is the y intercept

Answer:

1) slope form
2) standard form

3)slope form

4)standard form

5) none of theese

6)point slope form

Step-by-step explanation:

Answer:

number is 5

Step-by-step explanation:

let the number be n, then

30 subtracted from 14 times the number is

14n - 30

the result is 20 more than 4 times the number, that is

4n + 20

the equation is then

14n - 30 = 4n + 20 ( subtract 4n from both sides )

10n - 30 = 20 ( add 30 to both sides )

10n = 50 ( divide both sides by 10 )

n = 5

the number is then 5

Answer:

a - they should be large and sturdy

Step-by-step explanation:

The article states that artificial reefs can be made from materials such as concrete, or large pieces of waste such as subway cars, takes, and aircraft carriers. All of these items are large and sturdy.

Hope this helps, have a wonderful day :))

Answer:

8

Step by Step Explanation

Answer and Step-by-step explanation:

To find Z, we have to use the trigonometric function of Sine.

The Sine trig function looks like this:

sin(Angle) = \(= \frac{opposite.side}{hypotenuse}\)

Plug in the values and solve for z.

\(sin(30) = \frac{4}{z} \\\\\\\\\\z = \frac{4}{sin(30)}\)

Plug into a calculator and solve.

We get z to be 8.

#teamtrees #PAW (Plant And Water)

In  triangle ABC, if m∠B = 90°, BH = AH, and the ratio of m∠A to m∠C is 1:2, then m∠BHA = 120° (C).

In the next given equilateral triangle ABC, y = 70°.

Finding m∠BHA:

In triangle ABC, it is given that,

∠B = 90°

And m∠A : m∠C = 1:2

Let us assume m∠A is x. Then, m∠C = 2x

According to the angle sum property of a triangle,

∠A + ∠B + ∠C = 180°

90° + x + 2x = 180°

90° + 3x = 180°

3x = 90°

x = 30°

⇒ In triangle ABC, ∠A = 30° and ∠C = 60°

Now, in triangle AHB, it is also given that,

BH = AH

⇒ ∠ABH = ∠A = 30°

Thus, according to the angle sum property of a triangle,

∠ABH + ∠A + ∠BHA = 180°

30° + 30° + ∠BHA = 180°

∠BHA = 180° - 60°

∠BHA = 120°

Finding y in the Second Triangle:

Since triangle ABC is equilateral,

∠A = ∠B = ∠C = 60°

∴ x + 2x + 3x = 60°

6x = 60°

x = 10°

In triangle ABD, using angle sum property of triangle,

x + ∠B +  ∠BDA = 180°

10° + 60° + ∠BDA = 180°

∠BDA = 180° - 70°

∠BDA = 110°

Now, since, ∠BDA and y are linearly adjacent  angles,

∠BDA + y = 180°

110° + y = 180°

y = 180° - 110°

y = 70°  

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