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anastassius [24]
3 years ago
5

Which scale factors produce an expansion under a dilation of the original image?

Mathematics
2 answers:
alina1380 [7]3 years ago
7 0

Answer:  The correct options are (A) 8 and (D) 7.

Step-by-step explanation:  We are given to select the correct scale factors that produces an expansion under a dilation of the original image.

The SCALE FACTOR of a dilation is defined as follows:

\textup{Scale factor}=\dfrac{\textup{length of a side of the dilated image}}{\textup{length of the corresponding side of the original image}}.

The dilation will be an expansion is the scale factor is greater than 1 (> 1),

and it will be a reduction if the scale factor is less than 1 (< 1).

Option (A) is

Scale factor = 8.

Since 8 > 1, so the scale factor of the dilation is greater than 1. This implies that the dilation is an expansion.

Option (B) is

Scale factor = 0.7.

Since 0.7 < 1, so the scale factor of the dilation is less than 1. This implies that the dilation is a reduction.

Option (C) is

Scale factor = 0.8.

Since 0.8 < 1, so the scale factor of the dilation is less than 1. This implies that the dilation is a reduction.

Option (D) is

Scale factor = 7.

Since 8 > 1, so the scale factor of the dilation is greater than 1. This implies that the dilation is an expansion.

Thus, the correct options are (A) 8 and (D) 7.

tatuchka [14]3 years ago
4 0

Answer:

8 and 7

Step-by-step explanation:

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Five metal cubes with sides of 18 cm are melted and casted into a spherical ball. Find the volume of the sphere that is formed.
liberstina [14]

Answer:

29160cm³

Step-by-step explanation:

(18*18*18) *5 = 29160

6 0
3 years ago
solve this system of linear equations. separate the x- and y- values with a comma. 6x +5y=-19 12x-8y=52
Ymorist [56]

ANSWER

The solution is

(x,y)=(1,-5)

EXPLANATION

The equations are:

1st equation: 6x +5y=-19

2nd equation: 12x-8y=52

Multiply the first equation by 2:

3rd equation: 12x +10y=-38

Subtracy the 2nd equation from the 3rd equations.

12x-12x+10y--8y=-38-52

18y=-90

Divide both sides by 18.

y=-5

Put y=-5 into any of the equations and solve for x.

Preferably, the first equation will do.

6x +5(-5)=-19

6x -25=-19

6x=25-19

6x=6

x=1

The solution is

(x,y)=(1,-5)

8 0
3 years ago
Can someone help me this please? Problems 3 and 4. Number 3 is the "Find x" and Number 4 is the Yield sigh.
Nataly [62]

Answer:

I am gonna take a guest and say <em>178</em> for number 3. And for number 4, the answer is <em>44.</em>

Step-by-step explanation:

For number 3, I added 76 and 102 which equals 178. For number 4, I put n+6+3n-10=180 because its a triangle. Do the math and you get n=44. Correct me if I am wrong; I tried my best.

6 0
3 years ago
Evaluate 4!.<br><br> a.) 4<br> b.) 12<br> c.) 24
Gwar [14]

Answer

24


Explanation

4! This is read as 4 factorial.


It means;

4! = 4×3×2×1

= 24

6 0
3 years ago
Read 2 more answers
2. If mZ1 = 71 degrees, find the measure of the other 7 angles.<br>​
Kobotan [32]
The measure of angles 1,4,5,8 are congruent meaning they’re the exact same. If angle 1 measures 71 degrees then that means that 4,5,8 also measure 71 degrees. Angles 1&2 are supplementary angles which means their sum is 180. Since we know that angle 1 measures 71 then we can find the measure of angle 2 by 71+x=180 and solve for x (angle 2) which is 109
Angles 2,3,6,7 are congruent which means they also equal 109
*** angles 1,4,5,8 = 71
Angles 2,3,6,7 = 109***
3 0
3 years ago
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