Along-jumper lifts off 3 m after starting his run, and lands 6 m later. when he is 8 m from the start line, he is 5 cm above the ground. write the equation of a parabola that models his path through the air, where x is his horizontal distance from the start line in m and y is his height, in cm. a. y = –x2 + 12x – 27

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get

b i think

step-by-step explanation:

not really sure

answer: r there any options?

step-by-step explanation:

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)