For which values of m and n will the binomial m^3 × n^2 + m^2 × n^5 have a positive value? a) m = 3 , n = -1b) m = -2 , n = -2c) m = -3 , n = -5 d) m = 1 , n = -2** "^" means to the power of (exponents)

A) m = 3 , n = -1

plug in:

m^3 × n^2 + m^2 × n^5

=(3)^3 × (-1)^2 + (3)^2 × (-1)^5

= 27 x 1 + 9 x (-1)

= 27 - 9

= 18

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,