Remember that c is the initial height. Since we the rocket is in a 99-foot cliff, c=99. Also, we know that the velocity of the rocket is 122 ft/s; therefore v=122
Lets replace the values into the the vertical motion formula to get:

Notice that the rocket hits the ground at the bottom of the cliff, which means that the final height is 99-foot bellow its original position; therefore, our final height will be h=-99
Lets replace this into our equation to get:


Now we can apply the quadratic formula

where a=-16, b=122, and c=198


or


or


or

Since the time can't be negative, we can conclude that the rocket hits the ground after 9 seconds.
Answer:
Runner 1 has the fastest pace
Step-by-step explanation:
The first one we need to find the slope
m = (y2-y1)/(x2-x1) = (40-0)/(4-0) =40/4 = 10 minutes per mile
The second is 8.5 minutes per mile
The third we need to find the slope
m = (y2-y1)/(x2-x1) = (90-72)/(10-8) =18/2 = 9 minutes per mile
Answer:
$66
Step-by-step explanation:
The meal cost $50 without taxes.
The cost of tax:
$50*%14= $7
so she will pay a $7 tax
Also, she wants to tip %18 of the original $50 so:
$50*%18= $9
so she will tip $9
$50 + $7 + $9 = $66
Work backwards from vertex form. Vertex form of a quadratic equation/parabola is the following:
f(x) = a(x - h)² + k, where (h, k) is the vertex.
f(x) = a(x - 6)² - 9
Now, plug in the point that you're given to SOLVE FOR A. Remember that f(x) is just another way of writing y.
8 = a(1)² - 9
8 = a - 9
a = 17
So, plug in a = 17 into the equation.
<span>f(x) = 17(x - 6)² - 9 ←← your answer.
I hope my answer has come to your help. Thank you for posting your question here in Brainly.
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