A surveyor is measuring the distance across a lake as shown below. In triangle ABC , M and are midpoints . What is the width across the lake (BC)? 96 yds 32 yds
16 yds
6 yds
64 yds

64 yds

Step-by-step explanation:

by proportion, MN is half way to BC, so BC = 2(MN) = 64 yds

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

answer: check all that apply, where the options?

step-by-step explanation: