Answer:

Step-by-step explanation:
<u>Distribute the 9:</u>
<u />
<u>Subtract x on both sides:</u>
<u />
<u>Subtract 9 on both sides:</u>
<u />
<u>Divide both sides by 8:</u>

Answer:
The slope is -2.
Step-by-step explanation:
The slope formula is (y1-y2)/(x1-x2)
or change in y / change in x.
First, you plug in your numbers. I will use (2, 7) as (x1, y1)
(1-7)/(5-2)
Next, simplify.
(-6)/(3)
or
-2
And that's your slope!
Answer:
8.9
Step-by-step explanation:
We know that 81 = 9², so √80 will be slightly less than 9. We can get a pretty good estimate by averaging 9 with 80/9. That result is 8.94, so about 8.9.
The attached graph shows that point on a number line.
Answer:
144 ft
Step-by-step explanation:
The speed decreases linearly by 32 ft/sec/sec, so will be zero after ...
(96 ft/s)/(32 ft/s²) = 3 s
The average speed over that period is half the initial speed, so the distance covered between the ground and the maximum height is ...
(3 s)(96 ft/s)/2 = 144 ft
_____
<em>Alternate solution</em>
The relationship between velocity and distance for a constant acceleration is ...

For an initial velocity of 96 ft/s, a final velocity (at the top of travel) of 0, and the given acceleration, we have ...
