What is the equation, written in vertex form, of a parabola with a vertex of (–2, 6) that passes through (1, –3)?
1 answer:
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Answer:
Step-by-step explanation:
<u>Modeling With Functions </u>
We have a table of values of speeds vs distance taken for a car to stop. We are required to find a model that uses the square root and fits the given data to predict other values of d as a function of v.
By the nature of the problem, we can know that for v=0, d must be 0 too. So our model won't include a vertical shift or independent term. Being v the speed of the car and x the distance it takes to stop, we use the following model
We must find A to make the function fit the data. Let's use the first point (v,x); (20,9)
Solving for A
Then we have
Evaluating for v=35
Last option
Answer:
44.65 inches
Step-by-step explanation:
Height of ramp = 16 inches
Length of ramp, l
Angle formed by ramp and ground = 21°
Using Pythagoras :
Sinθ = opposite / hypotenus
Sin21° = 16 / l
0.3583679 = 16 / l
0.3583679 * l = 16
l = 16 / 0.3583679
l = 44.646855 inches
Hence, length of ramp is 44.65 inches
