In the xy-plane, a parabola defined by the equation y=(x-8)^2 intersects the line defined by the equation y=36 at two points, p and q. what is the length of pq?
a) 8
b) 10
c) 12
d) 14

12

Step-by-step explanation:

Alright so we are asked to find the intersection of y=(x-8)^2 and y=36.

So plug second equation into first giving:  36=(x-8)^2.

36=(x-8)^2

Take square root of both sides:

Add 8 on both sides:

x=8+6=14 or x=8-6=2

So we have the two intersections (14,36) and (2,36).

We are asked to compute this length.

The distance formula is:

.

I could have just found the distance from 14 and 2 because the y-coordinates were the same. Oh well. 14-2=12.

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step-by-step explanation: