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3 years ago

Use the distributive property to write an equivalent expression for 13(4+13)

Mathematics

2 answers:

Viefleur [7K]3 years ago

3 0

Answer:

52+169

Step-by-step explanation:

First you multiply the 13, on the outside, with the 4.

Then you multiply the 13 with the other 13.

13*4=52

13*13=169

vampirchik [111]3 years ago

3 0

The equation is 52+169

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astra-53 [7]

Given:

The given equation is:

$-3t^2+24t=h$

Where, t is the time in seconds and h is the height of the ball above the ground, measured in feet.

To find:

The inequality to model when the height of the ball is at least 36 feet above the ground. Then find time taken by ball to reach at or above 36 feet.

Solution:

We have,

$-3t^2+24t=h$

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Splitting the middle term, we get

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The critical points are:

$-3(t-2)(t-6)=0$

$t=2,6$

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Intervals Check point $-3(t-2)(t-6)\geq 0$ Result

$(-\infty,2)$ 0 $(-)(-)(-)=(-)$ False

$(2,6)$ 4 $(-)(+)(-)=+>0$ True

$(6,\infty)$ 8 $(-)(+)(+)=(-)$ False

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Therefore, the required inequality is $-3t^2+24t\geq 36$ and the ball is 36 feet above for 4 seconds.

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