1. Solve each rational equation. Check your solutions.
a. \( 4 - \frac { 15 } { x + 1 } = \frac { 7 } { x + 1 } \) c. \( \frac { 8 } { 25 } = \frac { x + 5 } { 32 } \)
b. \( \frac { 24 } { 7 m } + 14 = \frac { 10 } { m } \) d. \( \frac { 12 + p } { 2 p } = \frac { 6 } { p } + \frac { 8 } { p ^ { 2 } }\)
Given the general term of the sequence, determine the first \(5\) terms:
\(a ( n ) = ( n - 1 ) / ( n + 1 )\) *
Kelvin is at his house located at \( ( 3,4 ) \) on a coordinate plane and walks to the store located at \( ( 1,0 ) \) . The store is located exactly half way between Kelvin's house and Mitch's house. To the nearest tenth, what is the distance between Kelvin's house and Mitch's house? A. \( 4.2 \) B. \( 4.5 \) C. \( 5.7 \) D. \( 8.9\)
