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3 years ago

Which scale factors produce a contraction under a dilation of the original image? Select each correct answer. −6 −0.5 0.5 6

Mathematics

2 answers:

Step2247 [10]3 years ago

7 0

A contraction would make the image smaller.

A negative number reflects the image and changes the size based on the number.

To make an image smaller the factor needs to be less than 1

so -0.5 and 0.5 would make the image smaller since 0.5 is less than 1.

Sergeu [11.5K]3 years ago

3 0

Hi There!

Question - Which scale factors produce a contraction under a dilation of the original image? Select each correct answer.

Answer: -0.5 and 0.5

Why - The reason I say this is because to make the image smaller the dilation has to be smaller than 1 and in this case -0.5 and 0.5 are smaller than 1.

Hope This Helps :)

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A water pipe is 4 7/12 feet beneath the surface of the road. What is the elevation of the pipe, in feet, expressed as a decimal?

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The answer is C. U just have to divide 7 and 12 to get your decimal

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3 years ago

The measures of the angles of a triangle are ∠A = (2x)°, ∠B = (x+14)°, ∠C = (x−38)° Determine the value of x. Determine A B and

nexus9112 [7]

Answer:

Step-by-step explanation:

Measures of angles are,

m∠A = (2x)°

m∠B = (x + 14)°

m∠C = (x - 38)°

By triangle sum theorem,

m∠A + m∠B + m∠C = 180°

2x + (x + 14) + (x - 38) = 180

(2x + x + x) + (14 - 38) = 180

4x - 24 = 180

4x = 204

x = 51

m∠A = 2(51)° = 102°

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4 0

3 years ago

Use reciprocal to find 1/7p=3

nordsb [41]

1/7p = 3
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7 x 1/7p = 7 x 3
Then cross multiply

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3 years ago

Solve the equation by using quadratic formula . Show your work! Answer maybe in radical or decimal form .

Lorico [155]

Answer:

$x_1=\frac{-2+\sqrt{14}}{2}\approx 0.871,x_2=\frac{-2-\sqrt{14}}{2}\approx-2.871$

Step-by-step explanation:

$2x^2+4x-5=0$

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\frac{-4\pm\sqrt{4^2-4(2)(-5)}}{2(2)}$

$x=\frac{-4\pm\sqrt{16+40}}{4}$

$x=\frac{-4\pm\sqrt{56}}{4}$

$x=\frac{-4\pm2\sqrt{14}}{4}$

$x=\frac{-2\pm\sqrt{14}}{2}$

$x_1=\frac{-2+\sqrt{14}}{2}\approx 0.871,x_2=\frac{-2-\sqrt{14}}{2}\approx-2.871$

5 0

2 years ago

Answer this equation

Rudik [331]

Answer:

The solution to the box is

a = 2.1

b = 5.9

c = 0.9

d = 10

Step-by-step explanation:

To answer the equation, we simply name the boxes a,b,c and d.

Such that

a + b = 8 ---- (1)

b - c = 5 ------ (2)

d * c = 9 ------ (3)

a * d = 21 ------- (4)

Make d the subject of formula in (3)

d * c = 9 ---- Divide both sides by c

d * c/c = 9/c

d = 9/c

Substitute 9/c for d in (4)

a * d = 21

a * 9/c = 21

Multiply both sides by c

a * 9/c * c = 21 * c

a * 9 = 21 * c

9a = 21c ------ (5)

Make b the subject of formula in (1)

a + b = 8

b = 8 - a

Substitute 8 - a for b in (2)

b - c = 5

8 - a - c = 5

Collect like terms

-a - c = 5 - 8

-a - c = -3

Multiply both sides by -1

-1(-a - c) = -1 * -3

a + c = 3

Make a the subject of formula

a = 3 - c

Substitute 3 - c for a in (5)

9a = 21c becomes

9(3 - c) = 21c

Open bracket

27 - 9c = 21c

Collect like terms

27 = 21c + 9c

27 = 30c

Divide both sides by 30

27/30 = 30c/30

27/30 = c

0.9 = c

c = 0.9

Recall that a = 3 - c

So, a = 3 - 0.9

a = 2.1

From (1)

a + b = 8

2.1 + b = 8

b = 8 - 2.1

b = 5.9

From (3)

d * c = 9

Substitute 0.9 for c

d * 0.9 = 9

Divide both sides by 0.9

d * 0.9/0.9 = 9/0.9

d = 9/0.9

d = 10.

Hence, the solution to the box is

a = 2.1

b = 5.9

c = 0.9

d = 10

3 0

3 years ago

Which scale factors produce a contraction under a dilation of the original image? Select each correct answer. ​−6​ ​−0.5​ 0.5 6

Which scale factors produce a contraction under a dilation of the original image? Select each correct answer. −6 −0.5 0.5 6