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Vikki [24]
3 years ago
11

Point A (12, 4) is the image of point A(3, 1) under a dilation with respect to the origin. What is the constant of dilation?​

Mathematics
1 answer:
nordsb [41]3 years ago
7 0

Answer:

We conclude that the constant of dilation is: 4

Step-by-step explanation:

We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.

  • If the scale factor > 1, the image is enlarged
  • If the scale factor is between 0 and 1, it gets shrunk
  • If the scale factor = 1, the object and the image are congruent

The coordinates of the image point can be determined by multiplying the coordinates of the original point by a certain scale factor.

Given the point A'(12, 4) is the image of A(3, 1).

It is clear that the image point A'(12, 4) is enlarged 4 times of the original point A(3, 1).

It means the image point A'(12, 4) is determined when the original point A(3, 1) is dilated by a scale factor of 4.

i.e.

A(3, 1) → A'(4(3), 4(1)) → A' (12, 4)

Therefore, the rule of dilation by a scale factor 4 is:

P(x, y) → P'(4x, 4y)

Hence, we conclude that the constant of dilation is: 4

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Olive can read 5 pages of her book in 30 minutes at what unit is olive reading
il63 [147K]

Answer:

1 page per 6 minutes or 10 pages per hour.

Step-by-step explanation:

Since we know that when rates are expressed as quantity of 1 they are called unit rates.

We can represent our problem as unit rate in two ways; either by getting our numerator as 1 or our denominator as 1.

\frac{5 pages}{30 minutes} =\frac{1}{6 minutes}

We know that an hour has 60 minutes. We can get our denominator equal to 60 minutes by multiplying by 2.

\frac{5*2}{30*2}= \frac{10 pages}{60 minutes}

\frac{10 pages}{hour}

Therefore, Olive is either reading at 10 pages per hour or 1 page per 6 minutes.


8 0
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If 50% of a number is 14 then 100% of the number is
Rashid [163]
100% is 28 because 50% is half of 100% 14•2=28
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If sin(x) = 0.28, what is cos(90° - x)
vlabodo [156]
\bf \textit{Cofunction Identities}
\\\\
sin\left(\frac{\pi}{2}-\theta\right)=cos(\theta)
\qquad 
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tan\left(\frac{\pi}{2}-\theta\right)=cot(\theta)\qquad 
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I'll draw it for you cause im nice.

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