math
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arithmetic mean
( 88 + 94 + 98 + 84 ) / 4 = 364 / 4 = 91
math
2 csc ( x ) - 3 = - 5 Add 3 to both sides 2 csc ( x ) - 3 + 3 = - 5 + 3 2 csc ( x ) = - 2 Divide both sides by 2 csc ( x ) = - 1 Solutions: x = 2 pi n - pi / 2 and x = 2 pi n + 3 pi / 2 n is an integer
algebra
You must solve equation: - 16 t ^ 2 + 64 t + 80 = 0 - 16 t ^ 2 + 64 t + 80 = 0 Divide both sides by - 16 - 16 t ^ 2 / - 16 + 64 t / - 16 + 80 / - 16 = 0 t ^ 2 - 4 t - 5 = 0 Add 5 to both sides t ^ 2 - 4 t - 5 + 5 = 0 + 5 t ^ 2 - 4 t = 5 Add 4 to both sides t ^ 2 - 4 t + 4 = 5 ...
math
For x = 27 / 4 y = 17 x / 27 = 17 / 4 x + y = 27 / 4 + 17 / 4 = 44 / 4 = 11
math
x ^ 2 + x y + x = 81 x ( x + y + 1 ) = 81 Divide both sides by x x + y + 1 = 81 / x y ^ 2 + x y + y = 51 y ( y + x + 1 ) = 51 y ( x + y + 1 ) = 51 Divide both sides by y x + y + 1 = 51 / y x + y + 1 = x + y + 1 81 / x = 51 / y Multiply both sides by x y 81 x y / x = 51 x y / y...
Algebra
7 p ^ 4 + p ^ 3 + 2 p ^ 2 + p = p ( 7 p ^ 3 + p ^ 2 + 2 p + 1 )
algebra 1
x ^ 2 - 4 x - 21 = 0 Add 21 to both sides x ^ 2 - 4 x - 21 + 21 = 0 + 21 x ^ 2 - 4 x = 21 Add 4 to both sides x ^ 2 - 4 x + 4 = 21 + 4 x ^ 2 - 4 x + 4 = 25 ________________________________________ Remark : ( a - b ) ^ 2 = a ^ 2 - 2 a b + b ^ 2 That's why : x ^ 2 - 4 x + 4 ...
Math
5
algebra 1
a = first number b = a + 1 = second number c = b + 1 = a + 1 + 1 = a + 2 third number a + b + c = 99 a + a + 1 + a + 2 = 99 3 a + 3 = 99 Subtract 3 to both sides 3 a + 3 - 3 = 99 - 3 3 a = 96 Divide both sides by 3 a = 32 a = first number = 32 b =second number = 32 + 1 = 33 c ...
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