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DiKsa [7]
3 years ago
13

Can someone help me with this problem

Mathematics
2 answers:
Naily [24]3 years ago
5 0
<h3>Answer: Choice A</h3><h3>The point Z ' is at (8,4)</h3><h3>The point Y ' is at (0,4)</h3>

=================================================

Explanation:

The key thing here is that point Z does not move. Why not? Because this is where the center of dilation occurs. The center point is fixed. Everything around the center will expand away from, or contract toward, the center.

In this case, the scale factor is 4/5 = 0.8 which is less than 1. So points will contract toward the center. The old pre-image shrinks to make the image smaller.

Note how point Y = (-2,4) is 10 units away from point Z. You can count out the spaces or subtract the x coordinates. Use an absolute value to make sure the result is positive

|x1-x2| =  |-2-8| = |-10| = 10

|x2-x1| = |8-(-2)| = |8+2| = |10| = 10

So 0.8 times this distance is therefore 0.8*10 = 8 meaning that point Y' is going to be 8 units away from point Z' or Z.

Subtract 8 from the x coordinate of point Z to get x-8 = 8-8 = 0.

The y coordinate stays the same at y = 4 the whole time.

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

In short, point Y starts at (-2,4) and moves to (0,4)

Distance from Y to Z is 10 units

Distance from Y' to Z' is 8 units

8/10 = 4/5 = 0.8 is the scale factor

Point Z does not move. So Z and Z' are at the same location.

ElenaW [278]3 years ago
5 0
The answer will be A
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Find the unit price of 3 cans of cat food for $0.85​
andrey2020 [161]

Answer:

$0.28

Step-by-step explanation:

8 0
3 years ago
HELP ME PLEASE!!!!!!!<br> 50 POINTS!!
garri49 [273]

The scale factor that Thea uses to go from Rectangle Q to Rectangle R is equal to 6.

<h3>What is the scale factor from rectangle Q to rectangle R?</h3>

In geometry, the scale factor is a ratio of the resulting length to the initial length. Since the area of the square is equal to the square of its side length, then the scale factor is equal to:

k² = A' / A

k = √(A' / A)

Where:

  • k - Scale factor
  • A' - Area of the rectangle R.
  • A - Area of the rectangle Q.

If we know that A = 2 and A' = 72, then the scale factor is:

k = √(72 / 2)

k = √36

k = 6

Then, the scale factor that Thea uses to go from Rectangle Q to Rectangle R is equal to 6.

To learn more on scale factors: brainly.com/question/22312172

#SPJ1

7 0
11 months ago
42. A cylinder has a base of 36 π in² and a volume of 432π in³. What is the surface area of the same cylinder? *
faust18 [17]

Answer:

216π in²

Step-by-step explanation:

Base area = π × r²

36 π = π × r²

r² = 36

r = 6

Volume = base area × height

432 π = 36 π × height

height = 12

Surface area:

2 × π × r × (r + h)

2π × 6 × (6 + 12)

216π

8 0
3 years ago
How do I solve 372 = -3x - 6(8x + 6)? I already know that x = -8, but I need to know the process of how to get it.
ziro4ka [17]

The value of x is -8

Step-by-step explanation:

The steps of solving an equation of one variable

  1. Simplify the two sides of the equation
  2. Separate the variable in one side and the numerical term in the other side
  3. Divide the both sides by the coefficient of the variable

∵ 372 = -3x - 6(8x + 6)

- Simplify the R.H.S. of the equation by multiplying the bracket by 6

∵ 372 = -3x - [6(8x) + 6(6)]

- You must put the square bracket because the sign in-front of 6

  is (-) and the (-) changes the signs after it

∴ 372 = -3x - [48x + 36]

- Remember (-)(+) = (-), multiply the square bracket by (-)

∴ 372 = -3x - 48x - 36

- Add the like terms in the R.H.S.

∴ 372 = -51x - 36

- Add 36 to both sides to separate x in the R.H.S.

∴ 408 = -51x

- Divide both sides by -51 (coefficient of x)

∴ -8 = x

I hope these steps help you

The value of x is -8

Learn more:

You can learn more about the equations in brainly.com/question/11306893

#LearnwithBrainly

3 0
3 years ago
SOLVE WITH AN EXPLANATION PLS
Softa [21]

Answer:

  • Option C
  • Option B

Step-by-step explanation:

<u>Let's simplify this further to get our answer.</u>

  • -5/6(12 - 6x + 18y)
  • => -60/6 + 30x/6 - 90y/6
  • => -10 + 5x - 15y

Looking at the options, we can say that Option C and B are correct.

5 0
2 years ago
Read 2 more answers
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