An equation that can be written in the form, “ax + b = 0” where “a” and “b” are real numbers and, “a is not equal to 0” is called a ___?___ equation in one variable.

Select one:

a. linear

b. equivalent

c. rational

d. solution

Answer:

Algebraic Expression: 5n

a. 5(15) = 75$

b. 5(25) = 125$

c. 5(35) = 175$

d. 5(45) = 225$

Step-by-step explanation:

If n represents the amount of pools Mark has cleaned, and he earns $5 for each pool, then 5n will be the algebraic expression. As n represents the number of pools he has cleaned, we need to plug in the given numbers to get the answer, hence [5(15), 5(25), 5(35), 5(45)]. Multiply $5 by the given numbers to get the amount of money Mark would earn if he cleaned the amount of pools.

Answer:

Step-by-step explanation:

800 - 200 = 600 = range

Inter Quartile Range is hard to measure.

566 2/3 = mean = close enough to 567

The term 625 does not exist

18.4kg = 1840g

D = m / v

1840 / 923 = 1.993

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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These triangles can be proven congruent by using ASA RULE.

What is congruent triangles and its rules ?

When two triangles are congruent, their three sides and their three angles match precisely.

If there is a turn or a flip, the equal sides and angles might not be in the same place, but they are still present.

ASA rule stands for Angle-Side-Angle rule which means two angles and a side of both triangles are equal.

Main Body:

In ΔTUV and ΔTWV

VT =VT                 ----(1)

∠VTU=∠TVW      -----(2)

As TUVW is a parallelogram

so, ∠T = ∠U

hence, ∠TVU =∠VTW    ----(3)

taking equation 1, 2,3

therefore, ΔTUV ≅ ΔTWV by ASA rule which means by Angle- Side- Angle rule.

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Answer:

√41

Step-by-step explanation:

Considering the sides with lengths 48 and 52 units, we would use Pythagoras theorem to find the third side. Let that side be t

52² = 48² + t²

t² = 52² - 48²

= 2704 - 2304

= 400

t = √400

= 20

Considering the next triangle with sides t (20 units) and 12 units, again using the theorem

20² = 12² + y²

where y is the third side

400 = 144 + y²

y² = 400 - 144

= 256

y = √256

= 16 units

Considering the triangle with two sides given as 5 and 13 units, the third side (which is part of the 16 units calculated earlier)

13² = 5² + u²

where u is the 3rd side

169 = 25 + u²

u² = 169 - 25

u² = 144

u = √144

u = 12

The other part of the side of that triangle

= 16 - 12

= 4

Considering the smallest triangle whose sides are x, 5 and 4,

x² = 5² + 4²

= 25 + 16

= 41

x = √41

Answer: To find a vector perpendicular to the triangle, you can use the cross product of two vectors formed by subtracting two of the triangle's vertices. Specifically, if two vectors v1 and v2 are formed by subtracting one vertex from the other two, then their cross product v1 × v2 will be perpendicular to both v1 and v2, and therefore perpendicular to the triangle they form.

Mathematically, the cross product of two vectors in three-dimensional space is defined as:

v1 × v2 = ⟨y1z2 − z1y2, z1x2 − x1z2, x1y2 − y1x2⟩

So, to find a vector perpendicular to the triangle with vertices (x1,y1,z1), (x2,y2,z2), and (x3,y3,z3), you can choose any two vertices and compute their difference to get two vectors, and then take their cross product. For example, you could choose:

v1 = ⟨x2−x1,y2−y1,z2−z1⟩

v2 = ⟨x3−x1,y3−y1,z3−z1⟩

And then compute their cross product:

v1 × v2 = ⟨(y2−y1)(z3−z1) − (z2−z1)(y3−y1), (z2−z1)(x3−x1) − (x2−x1)(z3−z1), (x2−x1)(y3−y1) − (y2−y1)(x3−x1)⟩

This will give you a vector that is perpendicular to the triangle.

Step-by-step explanation:

Answer:

That is incorrect

Step-by-step explanation:

In a rhombus, all the four sides are equal while the parallelogram only 2 sides are equal.

Answer:

HURRYYYY PLEASE HELP ME T-T

Step-by-step explanation:

https://brainly.com/question/19692618

Answer:

0.05 metre

5×10^5 kilometer

1.9685

The given equation is 4, \(x^2\)+4x+\(y^2\)-9y=12 as circle with centre (-2, 9/2) and radius sqrt (13).

The given equation is 5, \(x^2\)+18x+\(y^2\)=12  a circle with centre (-9, 0) and radius sqrt (13).

The given equation is 6, \(x^2\)-8x+\(y^2\)-6y = 0 a circle with centre (4, 3) and the radius is 5.

To see this, we can rewrite the equation as \((x+2)^2 + (y-9/2)^2\) = 13. This equation represents a circle with centre (-2, 9/2) and radius sqrt (13).

To see this, we can rewrite the equation as \((x+9)^2 + y^2 = 13\). This equation represents a circle with centre (-9, 0) and radius sqrt (13).

The standard form of the equation of a circle is \((x-h)^2 + (y-k)^2 = r^2\) where (h, k) is the centre of the circle and r is the radius. Therefore, the centre of the circle is (4, 3) and the radius is 5.

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Answer:

D: 2/6

Step-by-step explanation:

2/6= 0.333333 repeating

Answer:

-2 83/100       :))))))))))))))

Answer:

x² - 7x + 12

Step-by-step explanation:

Use FOIL method

(x - 3) (x -4) = x*x + x *(-4) + (-3)*x + (-3)*(-4)

                  = x² - 4x - 3x + 12           {Combine like terms}

                  = x² - 7x + 12

Answer:

x^2−7x+12

Step-by-step explanation:

Use the FOIL method:  (a+b)(c+d)= ac+ad+bc+bd.

x^2−4x−3x+12

Collect like terms.

x^2 +(−4x−3x)+12

Simplify.

anddthe answer is  

x^2−7x+12

Answer:

I'm sorry but I couldn't see the hole question

Correct question is ;

Given the equation of the parabola x² = -36y

The focus of the parabola is:

Answer:

Option C - Focus = (0,-9)

Step-by-step explanation:

The equation of the parabola is:

x² = -36y

Thus, y = - x²/36

Using the vertex form,

y = a(x − h)² + k, to determine the values of a, h, and k.

We will have;

y = (-1/36)(x − 0)² + 0

Thus,

a = - 1/36

h = 0

k = 0

The distance (p) from the vertex to a focus of the parabola is gotten by using the following formula.

p = 1/4a

So, p = 1/(4*(-1/36))

p = - 1/(1/9)

p = -9

Now, The focus of a parabola can be found by adding p to the y-coordinate k if the parabola opens up or down.

Focus is (h, k+p)

Plugging in the relevant values, we have;

Focus = (0, (0 + (-9))

Focus = (0,-9)

The two equations of a system that can be used to find the ages of both girls are y - x = 6 and 3x - y = 0.

A group of two or more equations that must be solved all at once is known as a system of equations. The objective is to determine the values of the variables that make both equations true in a system of two equations with two variables. These numbers represent the system of equations' answer. There are several ways to solve a system of equations, including substitution, elimination, and graphing. They are used to simulate and resolve issues in many branches of mathematics, science, engineering, and other disciplines.

Let us suppose the age of Celine = x.

Let us suppose the age of Cindy = y.

Given that, Celine is 6 years younger than her sister Cindy.

x = y - 6

She is also one third as old as Cindy.

x = 1/3y or y = 3x.

Substitute the value of y in equation 1:

x = 3x - 6

6 = 2x

x = 3

Substitute the value of x:

y = 3(3) = 9

Hence, the two equations that can be used to find the ages of  both girls are y - x = 6 and 3x - y = 0.

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Answer:

sd

Step-by-step explanation:

Answer: sally is correct, sally read 3/4 (0.75) of the book and rely read 0.5 (1/2) of the book

Step-by-step explanation:

Answer: She is correct

Step-by-step explanation: 1/4+2/4=3/4 of the book while 2/8=1/4 and 4/16=1/4 and 1/4+1/4=2/4 and 3/4>2/4 so Sally is correct. She read 1/4 more of the book Remy. By the way, if you are asking questions, please Capitalize names. Thank you.

Answer:5 8

Step-by-step explanation:left 2 up 3

Answer:

4,620.77

Step-by-step explanation:

To calculate the final amount in Isabella's savings account at the end of 5 years, we need to take into account the initial deposit, monthly deposits, and quarterly compound interest.

Using the given information, we can break down the calculation into multiple steps:

Calculate the total number of quarters in 5 years: 5 years * 4 quarters per year = 20 quarters.

Calculate the interest rate per quarter: 5% annual interest rate / 4 quarters = 1.25% quarterly interest rate (expressed as a decimal, 0.0125).

Calculate the total amount of monthly deposits over 5 years: $25 per month * 12 months per year * 5 years = $1500.

Use an online savings calculator or the compound interest formula to determine the final amount in the account. The formula for compound interest is given by:

Final Amount = Initial Deposit + Monthly Deposits + (Initial Deposit + Monthly Deposits) * (1 + Quarterly Interest Rate)^(Number of Quarters)

Plugging in the values:

Final Amount = $1000 + $1500 + ($1000 + $1500) * (1 + 0.0125)^(20)

Using an online savings calculator or performing the calculation, the final amount in Isabella's savings account at the end of 5 years will be approximately $4,620.77.

Answer:

130.000,000,000

:)

Step-by-step explanation:

888383883838383dStep-by-step explanatio

a) On a coordinate plane, points are at (1, 48.1), (2, 50.9), (3, 62.4), (4, 67), (5, 76.5), (6, 83.9), (7, 86.8), (8, 88.1), (9, 79.2), (10, 69.9), (11, 59.5), (12, 49.6)  best represents the data.

This is because the data represents a set of paired values, with the months as the independent variable (x) and the average maximum monthly temperature as the dependent variable (y). A scatter plot is the appropriate graph for displaying this type of data.

Option a shows the correct placement of the data points on a scatter plot, with the x-axis representing the months and the y-axis representing the average maximum monthly temperature. The points are clearly organized in a sequence from January to December, with an upward trend in temperature from the winter months to the summer months, followed by a gradual decrease in temperature in the fall and winter months.

Option b has the correct range of temperatures, but the points are not arranged in a logical sequence and are scattered randomly across the graph. Option c also has a similar issue with random placement of points and does not reflect the actual values in the data set. Option d only has three points and does not represent the complete data set.

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The value of X when <1 = 3x+15 = 25. Then the value of the missing part of the sides of the kite (KITE) is given as follows;

X = 25

a.) ET = 60

b.) KE = 20

One of the properties of a kite is that it has two pairs of adjacent equal sides and the longer diagonal bisects the shorter one with the formation of angle 90°.

Therefore to calculate for X when <1 = 3x+15 is as follows;

<1 = 90°

90= 3x+15

3x = 90-15

3x = 75

X = 75/3

X = 25

But IT = ET

Given IT = 2x +20

X = 25

IT = ET = 2(20)+20

= 40+20 = 60

But KI = KE

Given that KI = 2x-30

X = 25

KI= KE = 2(25)-30

= 50-30 = 20

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Answer:

See the pictures below

Meaning of the colors:

Red = y = x + 5

Blue = y = -( x + 5 )

Green = y = | x + 5 |

Hope this helps :)

Pls brainliest...

Answer:

2,88$

Step-by-step explanation:

36$=100%

1%=36:10

1%=0,36

8%=0,36×8=2,88$

Answer:

  (a) f(x) = 110x -x^2

  (b) $55

Step-by-step explanation:

You figure out part (a) by following directions. Multiply (110 -x) by x. Use the distributive property to simplify it:

  f(x) = 110x -x^2

__

You know that the vertex of a parabola is on the line of symmetry, and that any two points with the same y-value are located symmetrically about that line. The function f(x) = x(110 -x) is zero for x=0 and for x=110. The vertex (maximum) of the function will be located halfway between these values, at ...

  x = (0 +110)/2 = 55

She should charge $55 to maximize her revenue.

Answer:

a)9. b) 12

Step-by-step explanation:

a) | -6 -3 | .

-6-3 = -9

|-9| =9

b) | 0 - 12 |.

0-12=-12

|-12|=12