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2 years ago

the width of a rectangle is 12 units less than the length. The perimeter is 108 units. Find the length

1 answer:

3 0

Length = x
Width = 2 x - 12

Equation Formation
2 (x) + 2(2 x - 12) = 108
2 x + 4 x - 24 = 108
6 x - 24 = 108
6 x = 132
x = 22

Length = 22 units

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3 years ago

What is the value of n in the equation ?1/2 (n-4)-3=3-(2n+3) <br>N=0 <br>N=2 <br>N=4 <br>N=6

bonufazy [111]

Answer:

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2 years ago

An astronaut drops a rock into a crater of the moon. The distance, d(t), in meters, the rock travels after t seconds can be mode

ASHA 777 [7]

The average rate of change of the position of an object with respect to time is the average speed of the object, so to find the average speed of the rock over the interval [5,10], we are going to use the average rate of change formula: $V(t)= \frac{d(b)-d(a)}{b-a}$
where
$V(t)$ is the average rate of change (the speed)
$d(a)$ is the position function evaluated at $a$
$d(b)$ is the position function evaluated at $b$
$a$ is the first point in the interval
$b$ is the second point in the interval

We know for our problem that the first point in the interval is 5 and the second point is 10, so $a=5$ and $b=10$ . Lets replace those values in our formula:
$V(t)= \frac{d(b)-d(a)}{b-a}$
$V(t)= \frac{d(10)-d(5)}{10-5}$
$V(t)= \frac{0.8(10^2)-0.8(5^2)}{10-5}$
$V(t)= \frac{80-20}{5}$
$V(t)= \frac{60}{5}$
$V(t)=12$

We can conclude that the speed of the rock between 5 and 10 seconds is 12 meters per second.

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3 years ago