Answer:
w² - 13w + 36
Step-by-step explanation:
Given
(w - 9)(w - 4)
Each term in the second factor is multiplied by each term in the first factor, that is
w(w - 4) - 9(w - 4) ← distribute both parenthesis
= w² - 4w - 9w + 36 ← collect like terms
= w² - 13w + 36
Answer:
x= 12
Step-by-step explanation:
Please see attached picture for full solution.
Answer:
All real numbers are solution for the inequality.
Step-by-step explanation:
Given expression:

Solving the inequality.
Using the distribution.


Adding
to both sides.

We have,

The above statement is always true and thus the inequality has all real number solutions.
The number line graph for the inequality can be shown.
<h3>
Answer: x = 29</h3>
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Work Shown:
A = 2x+3
B = x
angles A and B are complementary, so they add to 90 degrees
A+B = 90
(2x+3)+(x) = 90
2x+3+x = 90
2x+x+3 = 90
3x+3 = 90
3x+3-3 = 90-3
3x = 87
3x/3 = 87/3
x = 29
Extra info:
2x+3 = 2(29)+3 = 58+3 = 61
Note that 29 and 61 add to 29+61 = 90