**Answer: GAS**

**Step-by-step explanation:**

Hi! I am struggling on 41-44. Can you help me with 44?

Let:

The coordinates for the new figure will be given by:

[tex]Do,k(x,y)=(k(x-a)+a,k(y-b)+b)[/tex]Where:

O = Center of dilation at (a,b) = (3,2)

k = Scale factor = 0.1

So:

[tex](1,1)->(0.1(1-3)+3,0.1(1-2)+2)=(2.8,1.9)[/tex][tex]\begin{gathered} (1,2)->(0.1(1-3)+3,0.1(2-2)+2)=(2.8,2) \\ (2,1)->(0.1(2-3)+3,0.1(1-2)+2)=(2.9,1.9) \\ (2,2)->(0.1(2-3)+3,0.1(2-2)+2)=(2.9,2) \end{gathered}[/tex]Since:

(2.8,2), (2.8,1.9), (2.9, 1.9) and (2.9,2) are much closer to the center of dilation we can conclude that the dilated figure is closer to the center of dilation.

8. Jen receives 8 dollars each week for allowance. She also had 35 dollars saved from birthday gifts. If she currently has 195 dollars, write an equation to represent how many weeks Jen has been saving money. a. 8w + 195 +35 b. 8 + 35 = 195w c. 8w + 35 = 195 d. 8w-35 = 195

the equation for the saved money is

**195 = 8w + 35**

here **w = no. of weeks.**

so the answer is **8w + 35 = 195**

The students in Cassie's class got to choose between pizza and burgers for the celebration on the last day of school. 8 students picked the pizza. If there are 10 students in all in Cassie's class, what percentage of the students picked the pizza? Write your answer using a percent sign (%).

8/10 is 0.80

0.80 x 100= 80

Answers is 80%

0.80 x 100= 80

Answers is 80%

Describe a series of transformations Matt can perform to device if the two windows are congruent

Combining the three different **transformations**—rotations, reflections, and translations—will result in congruent shapes. Actually, any pair of congruent shapes can be matched to one another using a combination of one or more of these three transformations.

There are four possible **transformations** of a point, line, or geometric figure, each of which changes the object's shape and/or location. Pre-Image denotes the shape of the object before transformation, while Image denotes the final position and shape of the object.

Given Data

We now know that during rigid transformations, the size and shape of the figures are maintained (reflections, translations, and rotations). The pre-image and the image are always in agreement.

Matt has the following **transformational** abilities:

**Reflection** (Flip)

A reflection keeps its original shape because the comparable points from the pre-image to the image stay at the same distance from the line of reflection.

**Rotations** as a Congruence Transformation

A figure twists when it rotates. The figurine looks to have fallen over, although being the same size and shape. A great illustration of a rotation in the actual world is a clock. The connecting arms of a clock rotate around its axis every hour or every day. A rotation is defined by its degree; common rotations include 90 degrees, 180 degrees, and 270 degrees. The figure completes a full 360-degree rotation before returning to its starting point. The direction of a rotation, whether it be in a clockwise or counterclockwise counterclockwise. This information can be used to calculate the degree, quantity, and direction of a revolution.

**Translational** congruence transformation

We refer to a movement as a translation when an object or shape is moved from one place to another without changing its size, shape, or orientation. Every point on an item or shape is moved by the same amount and in the same direction during a translation, sometimes referred to as a slide.

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in the equation 8x - 1 = 3x + 4 the variable x represents the same value. Which value of x is the solution of the equation; x = 0, 1, 2, or 3? Explain.

Given the following expression:

a.) 8x - 1 = 3x + 4

Let's determine the value of **x**,

8x - 1 = 3x + 4

8x - 1 + 1 - 3x = 3x + 4 + 1 - 3x

8x - 3x = 4 + 1

5x = 5

5x/5 = 5/5

**x = 1**

Therefore, **x = 1**.

8x-1=3x+4Move the variable to the left side and change its sign and you should get 8x1-3x=4

And then move the consistent to the right side and change the sign and you should get 8x-3=4+1

now you should have 8x-3x=4+1 now collect like terms and you should get 5x=4+1

Add the numbers And you should get 5x=5 divide both sides by 5 and you should get x1

And then move the consistent to the right side and change the sign and you should get 8x-3=4+1

now you should have 8x-3x=4+1 now collect like terms and you should get 5x=4+1

Add the numbers And you should get 5x=5 divide both sides by 5 and you should get x1

2. The polygon on the grid represents the floor plan of a factory. The manager labeled each side to describe it. For example, N1 means North 1. у 84 5 N1 W1 E1 S2 --10-8-8-7-6-5-4-3-2-11 B 1 2 3 W2 2 -3 si -6 (a) The polygon has six sides. Find the length of each side of the polygon. (b) Each unit on the grid represents 25 feet. Find the perimeter of the factory. Show your work. Denne

**Solution:**

**Given:**

A polygon on a grid.

**Question 2a:**

**The length of each side of the polygon on the grid is given by;**

**Question 2b:**

**Perimeter is the sum of the outer sides enclosing a shape. **

**Hence, the perimeter of the factory is;**

Thus,

[tex]\begin{gathered} P=N1+E1+S1+W2+S2+W1 \\ P=13+7+5+4+8+3 \\ P=40\text{units on the grid} \\ \\ \text{But each unit on the grid represents 25 f}eet. \\ \text{Hence, } \\ P=40\times25 \\ P=1000\text{feet} \end{gathered}[/tex]**Therefore, the perimeter of the factory is 1000 feet.**

For each graph below, state whether it represents a function.

Graph 1: No, because it fails the vertical line test.

Graph 2: No, because it fails the vertical line test.

Graph 3: Yes, because it passes the vertical line test.

Graph 4: Yes, because it passes the vertical line test.

Graph 5: No, because it fails the vertical line test.

Graph 6: Yes, because it passes the vertical line test.

While studying abroad, Alan wants to make 6 batches of his mothers enchilada recipe to feed his classmates. The recipe calls for 20oz of cheese for each batch. The local market sells cheese by the gram. How many grams of cheese alan should by. USE 1 oz = 28 g AND DON'T ROUND ANY COMPUTATIONS.

The** total cheese **used by Alan to make 6 **batches** of recipe is 3360 g

An equation is an **expression** that is used to show the r**elationship **between two or more numbers and variables.

1 oz = 28 g

The recipe calls for 20 oz. of **cheese** for each batch. Hence:

Total cheese in gram for each recipe = 20 oz. * 28 g per oz. = 560 g

There are 8 batches, hence:

Total cheese = 560 g * 6 batches = 3360 g

The** total **cheese is 3360 g

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What is the volume of a prism that is 10 mi tall with a right triangle for a base with side lengths 6 mi, 8 mi, and 10 mi ?

The expression for the volume of the Prism is 1/3(Base area x Height)

In the given prism

Height = 10 mi

Base is in the shape of right angle triangle

Area of right angle triangle = 1/2 x Base x Height

Area of right angle triangle = 1/2 x 8 x 6

ARea of right angle triangle = 24

Area of base of the prism = 24mi².

Volume of the prism = 1/3 (Base area x Height)

Volume of the prism = 1/3 (24 x 10)

Volume of the prism = 1/3(240)

Volume of the prism = 80mi³.

**The volume of prism is 80 mi³.**

Gavin rides motocross in competition. A competition-level bicycle costs $1,800. He can borrow themoney from the bank at 3.596 interest for two years. By the end of the loan, how much money willGavin end up paying the bank?

The simple interest formula is:

[tex]I=Prt\text{ }[/tex]where P is the principal, r is the interest rate and t is the time.

In this case the principal is $1800, the interest rate is 0.035 (in decimal form) and t is 2. then the interest he pays is:

[tex]I=(1800)(0.035)(2)=126[/tex]**Therefore in total he will pay $1926**

I need help with homework I got the picture with the questions

We have the following:

[tex]\begin{gathered} \text{CAE}=135-45=90\degree \\ \text{EAF}=45-15=30\degree \\ \text{CAF}=\text{CAE}+\text{EAF}=90+30=120\degree \end{gathered}[/tex]I am thinking the answer is 8, because it's bisecting, and I was told when a bisection is taking place in an angle, the sides are congruent, and by just the look of the eye, they look the same length. If I'm wrong, could I get a explanation on how to find the length?

BISECTRIZ: Divide the interior or exterior angle of each vertex into two congruent angles. Then we have that the angle that ES starts and that shares the 2 right triangles is the same:

As we can see, both triangles share the angle and the hypotenuse, that is, their height is also the same, so the height of PC is equal to 8

8.20y + 4) = 6.7s +5.2

[tex]8.2(y+4)=6.7s+5.2[/tex]

distribute the parentheses

[tex]\begin{gathered} 8.2y+32.8=6.7s+5.2 \\ \end{gathered}[/tex]substract 32.8 on both sides

[tex]undefined[/tex]fastest answer gets brainlyest

**Answer:**

see my photo bro. hope it can help.

**Answer:**

[tex]\textsf{(a)} \quad \overline{v}=-8t-4h-2[/tex]

[tex]\textsf{(b)} \quad v(t)=-8t-2[/tex]

[tex]\textsf{(c)} \quad L(t)=-26t+41[/tex]

(d) See attachment.

**Step-by-step explanation:**

Given equation for **displacement**:

[tex]s(t)=-4t^2-2t+5[/tex]

Part (a)Average velocity formula:

[tex]\boxed{\overline{v}=\dfrac{s(t_2)-s(t_1)}{t_2-t_1}}[/tex]

where:

[tex]\overline{v}[/tex] = average velocitys(t₁) = position function at t₁s(t₂) = position function at t₂t₁ = initial timet₂ = final timeTo find the **average velocity** of s(t) between the inputs **t** and **t+h**:

Find expressions for s(t) at t₁ and t₂:

[tex]\implies s(t_1)=s(t)=-4t^2-2t+5[/tex]

[tex]\begin{aligned}\implies s(t_2)=s(t+h)&=-4(t+h)^2-2(t+h)+5\\&=-4(t^2+2th+h^2)-2t-2h+5\\&=-4t^2-8th-4h^2-2t-2h+5\end{aligned}[/tex]

Substitute the found values into the **average velocity formula**:

[tex]\begin{aligned}\implies \overline{v} =\dfrac{s(t_2)-s(t_1)}{t_2-t_1}}&=\dfrac{(-4t^2-8th-4h^2-2t-2h+5)-(-4t^2-2t+5)}{(t+h)-t}}\\\\&=\dfrac{-4t^2-8th-4h^2-2t-2h+5+4t^2+2t-5}{t+h-t}\\\\&=\dfrac{-8th-4h^2-2h}{h}\\\\ &=-8t-4h-2\\\\ \end{aligned}[/tex]

Therefore, the** average velocity** between the inputs t and t+h is:

[tex]\boxed{\overline{v}=-8t-4h-2}[/tex]

Part (b)To find the equation for instantaneous velocity v(t), **differentiate **the equation for displacement:

[tex]\begin{aligned}\implies v(t)&=s'(t)\\&=2 \cdot -4t^{(2-1)}-1 \cdot 2t^{(1-1)}+0\\&=-8t-2\end{aligned}[/tex]

Part (c)Find the value of s when t = 3:

[tex]\begin{aligned}\implies s(3)&=-4(3)^2-2(3)+5\\&=-4(9)-6+5\\&=-36-6+5\\&=-42+5\\&=-37\end{aligned}[/tex]

To find the **gradient **of s(t) at t = 3, substitute t = 3 into the **differentiated function**:

[tex]\begin{aligned}\implies s'(3)=v(3)&=-8(3)-2\\&=-24-2\\&=-26\end{aligned}[/tex]

Substitute the found gradient and found point (3, -37) into the point-slope form of a linear equation to find the **equation of the tangent line **L(t):

[tex]\begin{aligned}\implies s-s_1&=m(t-t_1)\\s-(-37)&=-26(t-3)\\s+37&=-26t+78\\s&=-26t+41\\\implies L(t)&=-26t+41\end{aligned}[/tex]

Part (d)See attachment.

I’m trying to do my homework help

The **average rate** of change f(x) on the interval -6 ≤ x ≥ 2 is; 5

What is the Average Rate of Change of the function?

**Average rate **of change is a measure of how much the function changed per unit, on average, over that **interval.** This is derived from the **slope** of the straight line connecting the interval's endpoints on the function's graph.

Now, the formula for the **average rate **of **change** over the interval (a, b) is;

f'(x) = [f(b) - f(a)]/(b - a)

Now, we are given the interval as -6 ≤ x ≥ 2.

From the given **polynomial graph**, we see that;

f(2) = 0 and f(-6) = 40

Thus;

f'(x) = [f(-6) - f(0)]/(2 - (-6))

f'(x) = (40 - 0)/8

f'(x) = 5

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Using synthetic division what is the first row for the dividend (divided) and the divisor value using synthetic division process:

2x3−10x+2/x−4

Using **synthetic division**, the solution to the polynomial fraction expression is; 2x² - 10 + 12/(x - 4)

We are given the **polynomial fraction** as;

(2x³ - 10x + 2)/(x- 4)

This means that we want to divide the polynomial (2x³ - 10x + 2) by (x - 4) using **synthetic division.**

For the divisor, we have x - 4, and that means x - 4 = 0, x = 4

So, we'll be using 4 for the** synthetic division** and we have;

-1 | 2 0 -10 2

× 0 0 10

-------------------------

2 0 -10 12

Now we will form the expression in the form of fraction again;

2x² - 10 + (12/(x - 4))

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Pls answer very desperate ty

The science club members are using transformations on coordinate grids to track the movement of constellations in the sky. Choose the left side of the constellation depicted by the line passing through (1,7) and (2.5,1), and find the linear functions that correspond to the series of motions of the side given below.

1) Shift the side down 5 units.

2) Vertically stretch the result of the shift by 3.

3) Shift the result of the stretch 2 units to the left.

The **linear function **passing through points (1,7) and (2.5, 1) is given by:

y = -4x + 11.

**What is a linear equation?**

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a** straight line.**

If in the linear equation, one variable is present, then the equation is known as the linear equation in **one variable.**

y = mx + b

In which the **coefficients **are described as follows:

For this problem, the two points that form the **function **are given as follows:

(1,7) and (2.5, 1).

The **slope **is given by change in y divided by change in x, hence it is given by:

m = (1 - 7)/(2.5 - 1) = -4.

Then:

y = -4x + b.

When x = 1, y = 7, hence we can find the** intercept b** of the function as follows:

7 = -4(1) + b

b = 7 + 4

b = 11.

Hence the **equation **is:

y = -4x + 11.

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Becky a sales women is offered two salary plans. Plan 1 is 400 per week salary plus 2% commission sales. Plan 2 is a 300 per week salary plus a 18% commission of sales. How much would Becky need to make in sales for the salary to be the same from both plans?

Let the commission sales = X

Salary Plan 1

salary per week = $400

commission sales = 2%

[tex]\text{Commision sales = 2\%}\times X=\text{ \$0.02X}[/tex]Salary Plan 2

salary per week = $300

commission sales = 18%

[tex]\text{ Commission sales = 18\%}\times X=\text{ \$0.18X}[/tex]Becky's salary for both plans (inclusive of commission sales) would be:

Plan 1:

[tex]\text{ \$400+0.02X}[/tex]Plan 2:

[tex]\text{ \$300+0.18X}[/tex]In order to find how much Becky needs to make in sales for salary to be the same from both plans would be:

[tex]\begin{gathered} \text{ \$400+0.02X= \$300+0.18X} \\ \text{collect like terms} \\ 0.18X-0.02X=400-300 \\ 0.16X=100 \\ X=\frac{100}{0.16}=625 \end{gathered}[/tex]Therefore, the commission sales should be **$625**

This math is new to me please help so I can take notes

We have here two sets of numbers, and we have to find the value for one of the operations of sets, that is, the *intersection operation*.

The result of this operation is the values that are common to both sets.

If we saw set A and set B, we will have:

[tex]A=\mleft\lbrace1,4,8,13,15\mright\rbrace[/tex][tex]B=\mleft\lbrace2,3,5,12,17\mright\rbrace[/tex]Both sets have five elements. However, they have no common elements (or nothing in common). **Therefore, the result will be the empty set:**

*That means both sets have no common elements ---> empty set*.

**In summary, we have that:**

Select all the figures that have sides that to be perpendicular￼

A

B

C

D

E

HELP

The** figures** that have sides that to be **perpendicular **are figures A and E.

For the given question;

As we can see that the only in figures A and E, there are two lines making an angle of 90 degrees.

Thus, only **figures A **and E have the** sides **perpendicular to each other.

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Find the length, width, area, and aspect ratio of a SAMSUNG Flat 75-Inch 4K 8 Series UHD Smart TV with HDR and Alexa Compatibility.

The dimensions that we must use in this problem, are the dimensions of the screen of a TV of 75 inches:

• W = width = 65.4" ,

,• H = heigh = 36.8".

• The form of the TV is a rectangle, we compute the area A of the rectangle by the following formula:

[tex]A=W\cdot H=65.4in\cdot36.8in=2406.72in^2.[/tex]• The aspect ratio r is given by the quotient of the width (W) by the height (H):

[tex]r=\frac{W}{H}=\frac{65.4in}{36.8in}=1.777.[/tex]• The length of the TV diagonal L can be computed using Pitagoras Theorem:

[tex]L=\sqrt[]{W^2+H^2}=\sqrt[]{(65.4in)^2+(36.8in)^2}\cong75.04in.[/tex]**Answer**

• width = 65.4",

,• heigh = 36.8",

,• area = 2406.72in²,

,• aspect ratio = 1.777

,• length of the diagonal = 75.04in.

A rectangular driveway is 9 feet wide, and it has an area of 135 square feet. How lo g is the driveway

**Area of a Rectangle**

Given a rectangle of length L and width W, the area is calculated as follows:

A = L.W

We are given the area of A=135 square feet and the width is W= 9 ft. Solving for L:

[tex]L=\frac{A}{W}=\frac{135ft^2}{9ft}=15ft[/tex]**The driveway is 15 feet long**

name a number that is not a whole number

Whole numbers are the numbers 0, 1, 2, 3, 4, etc. (the natural numbers and zero). Negative numbers are not considered whole numbers. All natural numbers are whole numbers, but not all whole numbers are natural numbers since zero is a whole number but not a natural number.

For example.

- 2, - 10

Four year after a maple tree was planted its height was 9 feet. By 8 years is grew to 12 feet. What is the growth rate and how tall was it when it was planted!

The **Growth rate** is 3/4 ft/year

**What is Growth rate ?**

Growth rates are computed by dividing the difference between the ending and starting values for the period being analyzed and dividing that by the starting value. Formula is, Growth rate = Absolute change / Previous value.

**growth rate **= (12-9)/(8-4)

= 3/4 ft/year

Therefore, The **Growth rate** is 3/4 ft/year

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Andrew is writing a coordinate proof to show that the triangle formed by connecting the midpoints of the sides of an isosceles triangle is itself an isosceles triangle. He starts by assigning coordinates as given.

Enter the answers in the boxes to complete the coordinate proof.

P is the midpoint of DE. Therefore, the coordinates of P are ( answer, b ).

Q is the midpoint of DF. Therefore, the coordinates of Q are (3a, answer).

R is the midpoint of EF. Therefore, the coordinates or R are ( answer, answer)

The length of PR is √ a^2+b^2. The length of QR is √ a^2 +b^2.

Comparing the expressions for the lengths of PR and QR shows that the lengths are equal. therefore, △PQR is isosceles

The **area **of **triangle** DEF = 4 ( area of triangle QRP) which is determined that by comparing the **expression** for the **lengths **of PR and QR.

Two **triangles** are said to be **congruent** if their corresponding **sides** and **angles** are equal.

According to the data provided,

**Triangle** ΔDEF is an **isosceles triangle **having DE, EF, and FD sides.

Since DE = EF and P,R, and Q are the **midpoints** of the **sides** DF, EF, and DE,

We know from **isosceles** triangle theorems that the area of a **triangle** formed by uniting the midpoints of two isosceles triangles is one-fourth the **area** of the isosceles triangle.

As evidence, consider the following:

Because **point** Q is the halfway of DE, its coordinates are (a, b). (Because the midpoint of a **line segment** always has coordinates that are half the total of the coordinates of the **end** **points**.)

Because point R is the **midpoint** of FE, its **coordinates** are (3a,b).

The **length** of the **base**, DF, in triangle DEF is 4a and the **height** is 2b. As a result, its area is 4ab. (Because the area of a triangle equals 1/2 its base × height.)

The length of the base, QR, of the triangle QRP is 2a, while the height is b.

As a result, its area is ab.

Therefore, the **area **of **triangle **DEF is **four times **that of triangle QRP.

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Evaluate the following expressionsYour answer must be an exact angle in radians and in the interval Example: Enter pi/6 for lceil- pi 2 , pi 2 ] pi R

[tex]\begin{gathered} We\text{ can use a calculator to evaluate the given questions.} \\ tan^{-1}(1)\text{ = }\frac{\pi}{4} \\ tan^{-1}(-\sqrt{3})\text{ = }\frac{-\pi}{3} \\ tan^{-1}(-1)\text{ = }\frac{-\pi}{4} \end{gathered}[/tex]

Which expression can be used to determine the number of downloads on the meh day after the game was available

we have the sequence

1,790 2,555 3,320 4,085 4,850

so

a1=1,790 ----> first term

a2=2,555

a3=3,320

a4=4,085

a5=4,850

Find out the difference between consecutive terms

a2-a1=2,555-1,790=765

a3-a2=3,320-2,555=765

a4-a3=4,085-3,320=765

a5-a4=4,850-4,085=765

This is an arithmetic sequence

The common difference is d=765

so

[tex]a_n=a_1+d\left(n-1\right)[/tex]we have

d=765

a1=1,790

substitute

[tex]\begin{gathered} a_n=1,790+765(n-1) \\ a_n=1,790+765n-765 \\ a_n=1,025+765n \end{gathered}[/tex]The answer is option BWhat subset of real numbers does 1/2 belongs to?

**Answer:**

**It belongs to the sets of natural numbers, {1, 2, 3, 4, 5, …}. **

**It is a whole number because the set of whole numbers includes the natural numbers plus zero. It is an integer since it is both a natural and whole number. **

**Answer: rational numbers if thats an answer**

**Step-by-step explanation:**

L C R

U (4, 14) (9, 6) (5, 3)

M (8, 2) (6, 12) (1, 7)

D (11, 5) (16, 3) (9, 8)

Answer: huh

Explanation: huh

Explanation: huh

Simplify the following expression. -7x²-2+5x+13x² - 15x

**Answer: 2(3x^2-5x-1) or 6x^2-10x-2**

**Step-by-step explanation: combine like terms, and then factor by grouping :)**

24. mrs. piatt, the math teacher, has six black, nine yellow and two blue calculators. what is the probability that she will hand out a blue calculator to the first student, then hand out a yellow calculator second?
Glycolysis=___NADH x____=____ATP
Please answer as soon as possible!!Thanks...
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