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1 year ago

Feather blew out of a bird nest 10 feet in the air. It drifted to the ground at a constant rate of 2 feet per second.

1 answer:

8 0

The equation that shows the relationship between the elevation of the feather, y, and the number of Seconds it has been falling is y = -2x + 10

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Independent variables represent function inputs that do not depend on other values, while dependent variables represent function outputs that depends on other values.

Let x represent the time in seconds for the bird feather to reach 10 feet.

Hence:

y = -2x + 10

The equation that shows the relationship between the elevation of the feather, y, and the number of Seconds it has been falling is y = -2x + 10

Find out more on equation at: brainly.com/question/2972832

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Answer:

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Step-by-step explanation:

Point B:

Has coordinates (x,y)

AB and BC form a 2:3 ratio.

This means that:

$B - A = \frac{2}{2+3}(C - A)$

$B - A = \frac{2}{5}(C - A)$

We apply this both for the x-coordinate and for the y-coordinate.

x-coordinate:

x-coordinate of A: 3

x-coordinate of C: 5

x-coordinate of B: x

$B - A = \frac{2}{5}(C - A)$

$x - 3 = \frac{2}{5}(5 - 3)$

$x - 3 = \frac{4}{5}$

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y-coordinate:

y-coordinate of A: 4

y-coordinate of C: 11

y-coordinate of B: y

$B - A = \frac{2}{5}(C - A)$

$y - 4 = \frac{2}{5}(11 - 4)$

$y - 4 = \frac{14}{5}$

$y = 2.8 + 4 = 6.8$

Thus the correct answer is:

(3.8, 6.8)

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