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Midterm

# Definitions for Midterm#1

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Simon Fraser University

Mathematics

MATH 157

Petra Menz

Fall

Description

Absolute Value The absolute value of a number a is denoted by a and is defined by a being a a bigger or equal to 0 or a a is smaller than 0Distance between two numbers the distance between any two real numbers a and b is given by abInteger Exponent an is defined as ana times a times atimes a ntimesand the superscript n is a positive Where a is called base any real numberinteger called the powerFractional Exponent a1n is defined as n square root of a and denotes the nth root of a where a and n are positiveDistance formula given two points x1y1 and x2y2 Dsquareroot the whole thing of x1x22y1y22Equation of a circle a point on the circle xy Chkcenter radiusr xh2yk2r2Slope intercept form ymxbPoint Slope form x1y1 on line yy1mxx1General form AxByC0AB and C are all constants but A and B cannot be 0Parallel Lines Two lines are parallel if and only if they have the same slope or if they are both vertical Perpendicular Lines two lines are perpendicular when they product of their slopes is 1 or if one is a vertical line and the other one is horizontal

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