What is the length of side ij in the diagram? a. 5.4 b. 5 c. 6 d. 4.5

Option D. 4.5

Step-by-step explanation:

In the given diagram FGAD is the trapezoid with the given sides FG = 3 units and AD = 6 units.

Now we have to calculate the Median IJ.

Since median of a trapezoid is represented by the formula =

Therefore, median IJ =

=

= 4.5

Therefore, Option D. 4.5 will be the answer.

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.