Question

Add or subtract. Simplify your answer. x+2/x^2−100 + 8/x^2−100

A. 1x/x−10
B. 1/x−10
C. 1x/x+10
D. x+10

What is the value of m in this equation?
Type your answer as an integer, like this: -42
1/m=2/m+7

Answer 1

`(x+2)/(x^2-100)+(8)/(x^2-100)=(x+2+8)/(x^2-100)=(x+10)/(x^2-10^2)\\\\=(x+10)/((x+10)(x-10))=(1)/(x-10)\to\fbox{B.}\\\\\\The\ domain:\\D:m\\eq0\ and\ m\\eq-7\\\\(1)/(m)=(2)/(m+7)\ \ \ \ |cross\ multiply\\\\2\cdot m=1\cdot(m+7)\\2m=m+7\ \ \ \ |subtract\`