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Sindrei [870]
2 years ago
8

Given a dilation around the origin, what is the scale factor K? Do, K = (20,16) → (-5,-4)

Mathematics
1 answer:
Rudik [331]2 years ago
5 0

Answer:

Scale factor, K = -1/4

Step-by-step explanation:

Dilation of any image changes its size and the shape remains same.

The scale factor is the ratio of dilated image to original image.

Dilation rule: (x, y) → (kx, ky), where k is the scale factor.

It means k = x₂/x₁ or y₂/y₁

K = -5/20 = -1/4 or K = -4/16 = -1/4.

<u>The negative value of scale factor (K) indicates dilations with 180 degree rotation of the dilated image.</u>

Hence the scale factor is K = -1/4.

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The sum of 26 and twice a number is -46 find the number​
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-72

Step-by-step explanation:

Sum is adding so I just did substitution for this. 26+-72=-46 because a positive plus a negative equals a negative.

4 0
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If a kitten eats 1/4 cup of food and it’s mom eats 6 times as much food as the kitten how much food did the mom eat?
mariarad [96]

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The mom ate a cup and a half of food


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Step-by-step explanation:

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Murat has 2/3 kg of rice that he wants to put into bags that contain 3/10 kg of rice each?
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Answer:

Murat can fill 6/13 kg of rice

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Read 2 more answers
Assuming that boy and girl babies are equally likely, what would be Kathy's probability of having at most one daughter if she
JulijaS [17]

Answer: 0.3125.

Step-by-step explanation:

  • The chance of having a boy is 0.5,
  • the chance of having a girl is also 0.5.

<u>Outcome 1: all boys</u>

boy  boy  boy  boy

0.5 * 0.5 * 0.5 * 0.5 = 0.0625

<u>Outcome 2: first child is a girl, all others are boys</u>

girl   boy   boy   boy

0.5 * 0.5 * 0.5 * 0.5 = 0.0625

<u>Outcome 3: second child is a girl, all others are boys</u>

boy   girl   boy   boy

0.5 * 0.5 * 0.5 * 0.5 = 0.0625

<u>Outcome 4: third child is a girl, all others are boys</u>

boy   boy   girl   boy

0.5 * 0.5 * 0.5 * 0.5 = 0.0625

<u>Outcome 5: fourth child is a girl, all others are boys</u>

boy   boy   boy   girl

0.5 * 0.5 * 0.5 * 0.5 = 0.0625

Therefore,

0.0625 + 0.0625 + 0.0625 + 0.0625 + 0.0625 = 0.0625 * 5 = 0.3125

4 0
1 year ago
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