Answer:
A) 5x²(x^(8) - 16)
B) 5x²[(x⁴ + √16) • (x² + ∜16) • (x + (8√16) • (x - (8√16))]
Step-by-step explanation:
We are given the expression;
5x^(10) - 80x²
A) Since the expression is, 5x^(10) - 80x², the greatest common factor is 5x². So we will factorize that out.
So, we have;
5x²(x^(8) - 16)
B) The complete factorization of 5x²(x^(8) - 16) will be;
5x²[(x⁴ + √16) • (x⁴ - √16)]
Now, (x⁴ - √16)] can be broken than further into;
(x² + ∜16) • (x² - ∜16)
Also, (x² - ∜16) can be broken down into;
[(x + (8√16) • (x - (8√16))
So, our complete factorization gives us;
5x²[(x⁴ + √16) • (x² + ∜16) • (x + (8√16) • (x - (8√16))]
Answer:
The correct option is C.
Step-by-step explanation:
The vertices of ABCD are A(2,-3), B(8,-6), C(14,-3), and D(8,0).
Distance formula:

The length of sides are




Since length of all sides are equation therefore the given parallelogram cannot be a rectangle.
Slope formula:

Slope of AB is

Slope of BC is

Since the slopes of two consecutive sides are not opposite reciprocals, therefore the given parallelogram is a rhombus. Option C is correct.
Answer:
The slope is 9/8, and the y-intercept is -10/3
Step-by-step explanation:
y = mx + b
in this case:
m = 9/8
b = -10/3
and the m in the equation is the slope while the b is the y-intercept
The surface of the rectangular prism is 18, because you just add up all of your sides