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RUDIKE [14]
3 years ago
8

Due to gravity, an object falls 16t² feet in t seconds. You drop a backpack from a window that is 100 feet above the ground. Wil

l the backpack hit the ground in 3 seconds?
Mathematics
1 answer:
FinnZ [79.3K]3 years ago
8 0

Answer:

the backpack will be on the ground in 3 seconds but it will first make contact with the ground in 2.5 seconds

Step-by-step explanation:

the equation would be:  y = -16t² + 100

if you solve for 't' then you will find the amount of time until it lands

0 = -16t² + 100

-100 = -16t²

100/16 = t²

t = √100/16

t = 10/4 = 2.5

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3 years ago
23:
irina [24]

Answer:

(-\frac{3}{7}, 0) -- x intercept

(0,3) -- y intercept

Step-by-step explanation:

Given

y = 7x + 3

Required

Determine the x and y intercept

For x intercept.

Set y = 0

So, we have:

y = 7x + 3

0 = 7x + 3

Collect Like Terms

7x = -3

Make x the subject

x = -\frac{3}{7}

Hence, the x intercept is: (-\frac{3}{7}, 0)

For the y intercept;

Set x = 0

So, we have:

y = 7x + 3

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y = 0 + 3

y = 3

Hence, the y intercept is: (0,3)

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Step-by-step explanation:

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jek_recluse [69]
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