Answer:
We conclude that:
Step-by-step explanation:
Given:

To determine:
Explain how to solve the expression
<u>Solving the expression</u>

Apply the exponent rule

so the expression becomes

Therefore, we conclude that:
It should be 35, if that is an answer choice.
Answer:
x = -5
y = 1
Step-by-step explanation:
-5x - 8y = 17
x = -5
y = 1
2x - 7y = -17
x = -5
y = 1
Answer: x2= 6
FYI: The x2 is x squared
Step-by-step explanation:
Simplifying
4x2 + 7 = 31
Reorder the terms:
7 + 4x2 = 31
Solving
7 + 4x2 = 31
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7' to each side of the equation.
7 + -7 + 4x2 = 31 + -7
Combine like terms: 7 + -7 = 0
0 + 4x2 = 31 + -7
4x2 = 31 + -7
Combine like terms: 31 + -7 = 24
4x2 = 24
Divide each side by '4'.
x2 = 6
Simplifying
x2 = 6
Answer:
Step-by-step explanation:
AB = 8x + 5
BC = 5x² - 16
5x² - 16 = 8x + 5
5x² - 8x - 21 = 0
Quadratic formula
x = [8 ± √(8² – 4·5(-21))] / [2·5]
= [8 ± √484] / 10
= [8 ± 22] /10
= -1.4, 3
-1.4 is an extraneous solution.
x = 3
AB = 8x+5 = 29
AC = 58