mac1147_review_2 - REVIEW UNIT II MAC1147 FORMULAS TO MEMORIZE Equation of a circle with radius r and center h k x h y k 2 Distance on the plane between

mac1147_review_2 - REVIEW UNIT II MAC1147 FORMULAS TO...

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1REVIEW UNIT II MAC1147 FORMULAS TO MEMORIZE: Equation of a circle with radius rand center (),h k: ()()222xhykr+=Distance on the plane between points ()11,xyand()22,xy: ()()222121dxxyy=+Midpoint Formula: 1212,22xxyyM++=The slope of the line through ()11,xyand ()22,xy: 2121yyymxxx==. Equation of the line with slope mthrough the point ()11,xy: ()11yym xx=. Equation of the line with xand yintercepts aand b: 1xyab+=(0,0ab) Average rate of change of fon the interval [],c xis ()( )fxfcxc(xc). Vertex of the parabola 2( )f xaxbxc=++is (),h k, where 2bha=, ( )kf h=. Properties of Exponents (0, 1,0,1)aabb>>: xyxyaaa+=xxyyaaa=()yxx yaa=1xxaa=01a=()xxxabab=xxxaabb=Identities: logaxax=(0x>), logxaax=(xis any real number) 1. Given points ( 3,5)Pand (3,2)Q. (a) Find (,)d P Q(b) Find the midpoint of the segment joining the two points. (c) Determine whether the point (69,79)is on the line passing through the points Pand Q. 2. Find the equation of the circle with center ()5,3passing through the point ()1,0. 3. Find the center-radius equation of a circle if the endpoints of the diameter are ()1,2and ()9,6. 4. Complete the square to find center and radius of the circle 223312610xyxy++=.

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