MAT092 Formula Sheet Revised Fall 2015 Area (units squared) Triangle Rectangle Parallelogram A = lw A = bh Square Circle π΄ = π 2 A = Οr2 Rectangular Solid Sphere Cube Sphere V = lwh π΄ = π 3 4 π = ππ 3 3 Cylinder Cone Pyramid π = ππ 2 β 1 π = ππ 2 β 3 1 π = ππ€β 3 A= 1 2 bh = bh 2 Trapezoid 1 ο ο π΄ = 2 β(π1 + π2 ) ο ο Volume (units cubed) Surface Area (units squared) Rectangular Solid Cylinder SA = 2lw + 2lh + 2wh SA = 2Οr2 + 2Οrh Graphing Slope Slope Intercept Form Standard Form y = mx + b π΄π₯ + π΅π¦ = πΆ Point-Slope Form Midpoint Distance π¦ β π¦1 = π(π₯ β π₯1 ) ο¦ο x1 ο« x2 y1 ο« y2 οΆο , ο¨ο 2 2 οΈο d ο½ (x2 ο x1 ) 2 ο« (y2 ο y1 ) 2 mο½ ο ο y2 ο y1 x 2 ο x1 Perimeter Rectangle ο ο P = 2l + 2w Square ο ο Circle (Circumference) π = 4π C = Οd or C = 2Οr (d = 2r) Triangle Formulas Degrees Pythagorean Theorem m(οA) ο« m(οB) ο« m(οC) ο½ 180 c2 = a2 + b2 Factoring Polynomials ο ο Sum and Difference of Two Cubes Difference of two Squares Perfect Square Trinomial π3 + π3 = (π + π)(π2 β ππ + π2 ) π3 β π3 = (π β π)(π2 + ππ + π2 ) π2 β π2 = (π β π)(π + π) π2 + 2ππ + π2 = (π + π)2 π2 β 2ππ + π2 = (π β π)2 Quadratic Formula π₯= βπ ± βπ 2 β 4ππ 2π
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