3 years ago

In this race speedy mcgoo Ran the 400 m dash in 14.5 seconds. What is his speed in meters per second?

Mathematics

1 answer:

Anuta_ua [19.1K]3 years ago

7 0

Answer:

27.58 meters per second.

Step-by-step explanation:

divide 400 by 14.5

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Make it: y = mx + b
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Is quadrilateral jklm the result of a dilation of quadrilateral abcd by a scale factor of 2? why or why not?

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No. Because sides JM and KL have different slopes from sides AD and BC .

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

For AD:

We have the points A(2, -2) and D(1, -4). Substitute:

$m=\dfrac{-4-(-2)}{1-2}=\dfrac{-2}{-1}=2$

For JM:

We have the points J(4, -4) and M(2, -9). Substitute:

$m=\dfrac{-9-(-4)}{2-4}=\dfrac{-5}{-2}=2.5$

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----------------------------------------

Another argument.

No. Because the MJ is not twice as long as AD.

The formula of the length of a segment:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

The length of AD:

$|AD|=\sqrt{(1-2)^2+(-4-(-2))^2}=\sqrt{(-1)^2+(-2)^2}=\sqrt{1+4}=\sqrt5$

The length of MJ:

$|MJ|=\sqrt{(2-4)^2+(-9-(-4))^2}=\sqrt{(-2)^2+(-5)^2}=\sqrt{4+25}=\sqrt{29}$

$\sqrt{29}\neq2\sqrt5$

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Step-by-step explanation:

2x + 1 = -1

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2x = -2

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