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klasskru [66]
3 years ago
6

The scale factor for two similar rectangles is 4. If the area of the smaller rectangle 7m^2, what is the area of the larger rect

angle?
A. 112m ^ 2
B. 28m ^2
C. 196m ^2
D. 121, ^ 2
Mathematics
1 answer:
nydimaria [60]3 years ago
3 0

Answer:

A. 112 m^2

Step-by-step explanation:

If the scale factor is 4, the area of the larger figure is 4^2 times that of the smaller one.

... (7 m^2)·4^2 = 112 m^2

_____

The scale factor for area is the square of the scale factor for linear dimensions. When we talk about a scale factor without qualification, we mean the scale factor for linear dimensions.

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4 years ago
What value of n makes each statement true, pls include work
sammy [17]

Answer:

1. n=2

2. n=12

3. n=2

Step-by-step explanation:

1

12xy³/4xⁿy=3y²/x

12x²y³=12y³xⁿ (cross multiplied)

x²=xⁿ (cancelled out (12y³))

2=n

2

(-3a/2b⁴)³=-27a³/8bⁿ

-27a³/8b¹²=-27a³/8bⁿ (cubed left side)

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3

(xy⁶/x⁵yⁿ)²=y⁸/x⁸

x²y¹²/x¹⁰y²ⁿ=y⁸/x⁸ (squared left side)

x²y¹²/x¹⁰y²yⁿ=y⁸/x⁸

y¹⁰/x⁸yⁿ=y⁸/x⁸ (simplified)

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6 0
3 years ago
Which of the following is a linear function? (89 POINTS)HURRY PLSSSSS
Dennis_Churaev [7]
<h3>Solution:</h3>

A linear function is a straight line formed on a coordinate plane.

<u>To classify an equation as a linear function:</u>

  • It must not have any exponent in the equation.
  • If there is a fraction, the denominator of that fraction must not multiply by x.

If any of these two occurs in an equation, the line can form a curve in a line, which is a non-linear function. A non-linear function is a curved line formed on a coordinate plane.

<u>Option A - y = x³ + 1:</u>

  • This equation has an exponent in the variable x. Hence, this is a non-linear function.

<u>Option B - 5x/6 = y - 4:</u>

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<u>Option C - y = 8x²</u>

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<u>Option D - y = 1/5x</u>

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Hence, Option B is correct.

<u>Learn more about </u><u>linear functions</u><u>:</u> brainly.com/question/15253497

8 0
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