What value of g makes the equation true? (x-3)(x+5) = x2 +gx-15

Step-by-step explanation:

Use FOIL:

(a + b)(c + d) = ac+ ad + bc + bd

(x - 3)(x + 5) = (x)(x) + (x)(5) + (-3)(x) + (-3)(5)

= x² + 5x - 3x - 15 = x² + 2x - 15

(x - 3)(x + 5) = x² + gx - 15

therefore g = 2

it would rotate about 180 degrees.

a_n = a_1 + (n - 1)d

the first term is 6.

the common difference d = ?

when you find d, replace n with 7 and d with the common difference to find your answer.