Nina bicycles 4 miles west to get from her house to school. After school, she bicycles 3 miles north to her friend Tracy's house. How far is ninas house from Tracy's house, measured in a straight line

Distance between nina's house to her friend's home = AC = 5 miles

Step-by-step explanation:

Distance between nina's house to her school = BC = 4 miles

Distance between nina's school to her friend's home = BA = 3 miles

Distance between nina's house to her friend's home = AC = ??

From the ΔABC

AC = 5 miles

Therefore Distance between nina's house to her friend's home = AC = 5 miles

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.