Answer:
14.52 seconds.
Step-by-step explanation:
We have been given that the height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation 
. We are asked to find the time, when the rocket will hit the ground.
We know that the rocket will hit the ground, when height will be 0. So to find the time when rocket will hit the ground, we will substitute 
in our given equation as:
Let us solve for x using quadratic formula.
Upon rounding to nearest 100th of second, we will get:
Since time cannot be negative, therefore, the rocket will hit the ground after 14.52 seconds.
Answer:
A. 5 ft, 4 ft, 3 ft
Step-by-step explanation:
When you use the Pythagorean theorem with the numbers of the first choice, you find that these could be the sides of a right triangle:
3² + 4² = 9 + 16 = 25 = 5²
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You have found the correct answer at this point.
_____
If you want to check, you can examine the other choices:
C: 6² +10² = 136 ≠ 11²
B: 2² +4² = 20 ≠ 6²
D: 5² +10² = 125 ≠ 15²
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<em>Comment on 3-4-5 triangle</em>
As you can see from the above, side measures of 3, 4, and 5 will form a right triangle. This is the smallest set of integers that will do so. It is also the ratios of the only set of side lengths in arithmetic progression that will do so.
This latter fact can help you rule out choices B and D in this problem, because each of those has sides in the progression 1 : 2 : 3.
(3, 4, 5) triangles come up often in algebra and geometry problems. This is a useful "Pythagorean triple" to remember.
F(C) = 95C + 32...
F(C) is y.
y = 95C + 32
Switch Y & C.
C = 95y + 32
C - 32 = 95y
(C - 32) / 95 = y
In the inverse, y is F-1(C)
F-1(C) = (C - 32) / 95
Option A will be the correct answer
Answer:2
Step-by-step explanation:
