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3 years ago

The point (5 5/8, 2 1/4) lies on a line that represents a proportional relationship between two units of measure.

Mathematics

1 answer:

neonofarm [45]3 years ago

5 0

9514 1404 393

Answer:

a) k = 2/5

b) y = 2/5x

c) y = 2 3/5

Step-by-step explanation:

The proportional relation is described by the equation ...

y = kx . . . . . . k is the constant of proportionality

The value of k can be found by dividing the equation by x:

y/x = k = (2 1/4)/(5 5/8) = (9/4)/(45/8) = 18/45

k = 2/5

As above, the equation is ...

y = kx

y = 2/5x

Using 6.5 for x, we have ...

y = (2/5)(6.5) = 2.6 = 2 3/5

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2 years ago

denis-greek [22]

Answer:

Part a) $AB=15\ cm$

Part b) $AB=11.1\ cm$

Part c) $AB=3/5\ cm$

Part d) $AB=3s\ cm$

Step-by-step explanation:

see the attached figure to better understand the question

we know that

To find the length of the image after a dilation, multiply the length of the pre-image by the scale factor

Part a) we have

The scale factor is 5

The length of the pre-image is 3 cm

therefore

The length of the image AB after dilation is

$3(5)=15\ cm$

Part b) we have

The scale factor is 3.7

The length of the pre-image is 3 cm

therefore

The length of the image AB after dilation is

$3(3.7)=11.1\ cm$

Part c) we have

The scale factor is 1/5

The length of the pre-image is 3 cm

therefore

The length of the image AB after dilation is

$3(1/5)=3/5\ cm$

Part d) we have

The scale factor is s

The length of the pre-image is 3 cm

therefore

The length of the image AB after dilation is

$3(s)=3s\ cm$

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3 years ago