MULTIPLE CHOICE·Choose the one alternative that best completes the statement or

Question

MULTIPLE CHOICE·Choose the one alternative that best completes the statement or answers the question. Solve the problem. p with ageto the y a t lst 6-0) which of the1 2) IE (2,-3) is the endpoint of a line segment, and (4, 2) is its midpoint, find A) (-2,-13) D) (6,7) 3) Find the standard form of the equation of the circle. Assume that the center has integer coordinates and the radius is an integer. 3) -9 -4 A) (-12( 22-9 B)x2 + y2 + 2x-4y-4.0 c) (x + 1)2 +(y-2)2 =9 4) A power outage affected all homes and businesses within a 4 mi radius of the power station. If bs rom 4) the power station is located 2 mi west and 3 mi north of the center of town, find an equation of the circle consisting of the furthest points from the station affected by the power outage. A)(x+2)2 .(y+3)2 = 16 C)(x-2),(y-3)2-16 8) (-2)2 (y 3)2-16 D)(x+2)2 + (y-3)2=16 Find the slope of the line containing the two points. 5) A) 2 B) 0 C) D) undefined or the function, find the average rate of change of f from 1 to x: x-1 6) fx) x3.x A) x2, 2 6) B) x2x 2 x3+x+2 D) 1

Explanation / Answer

1) Option D) is correct.

2) Option D) is correct.

4 = (x + 2)/2 ======> x = 6

And

2 = (y - 3)/2 =====> y = 7

So, other endpoint = (6, 7)

5) Option D) is correct.

Slope = (y2 - y1)/(x2 - x1) = (-6 + 8)/(-9 + 9) = Undefined

6) Option B) is correct.

f(x) = x^3 + x

f(1) = 1 + 1 = 2

Then average = [f(x) – f(1)]/(x - 1) = (x^3 + x - 2)/(x - 1) = x^2 + x + 2

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