2.1-2.5 Alg 2 Quiz

Find the ARoC for f(x)= |x²-4| from x=0 to x=3√5

ARoC= 37√5/9

Find the ARoC of f(x)=x³ + x from x=2 to x=4

AroC= 29

Standard form

Ax+By=C

distance formula

d=√(x-x)²+(y-y)²

If a line segment has endpoints (-3/2, y) and (x, 2√2) and the midpoint (2, 3√2/2), find x and y.

x=11/2, y =√2

slope-intercept form

y=mx+b

midpoint formula

((x+x)/2, (y+y)/2)

Write the equation of a circle with a diameter of 12 and opposite points on the circle of (1,5√3) and (4,2√3).

(x-5/2)^2+(y-7√3/2)^2=36

circle equation

(x-h)²+(y-k)²= r²

Point-slope form

(y-k)=m(x-h)

Find the equation of a line in standard form tangent to the circle x²+6x+y²-9x+2=0 at (1/2, 3)

14x-6y=-11

Write the equation in standard form of the perpendicular bisector of a line segment with end points (3,-1) and (0,5)

2x-4y=-5

Write the equation of a line in standard form perpendicular to (y-2)=I/3(x-4) and passing through (7,3).

3x+y=24