Answer:
B. 73
Step-by-step explanation:
Complementary angles equal 90 degrees, while supplementary angles equal 180 degrees. Therefore, if one angle in a pair of complementary angles equals 17, you would use the equation 90-17 to find the measure of the other angle.
Answer:
Here's what we know:
A = Lw (Area is length times width)
L = 2w + 6 (length is twice the width plus 6)
A = 140 (Area is 140 m2)
Plug in the variable values:
140 = w(2w + 6)
Distribute:
140 = 2w2 + 6w
Subtract 140:
2w2 + 6w - 140 = 0
Factor out a 2:
2(w2 + 3w - 70) = 0
Divide both sides by 2:
w2 + 3w - 70 = 0
(w + m)(w - n)
When we factor out the quadratic, we know it's going to be a +/- situation because the c value in the quadratic is negative, and the two numbers are going to be three away, the plus next to the 3 meaning that the larger number is going to be positive:
(w + 10)(w - 7) = 0
w = -10, 7
We can't have a negative length, so we can toss out the -10, leaving us with w = 7 meters.
L = 2 * 7 + 6
L = 14 + 6
L = 20
Check:
140 = 20 * 7
140 = 140
Answer:
(x+1) (x-1) (x+2) (x-2)
Step-by-step explanation:
<u>Let u = x^2</u>
= u^2 - 5u + 4
<u>(Factor u^2 - 5u + 4)</u>
= (u-1) (u-4)
<u>Substitute back u = x^2</u>
= (x^2 -1 ) (x^2 - 4)
<u>Factor x^2 - 1 and x^2 -4</u>
= (x+1) (x-1) (x+2) (x-2)
Hope this helped... :)
If you need to see the work for yourself, copy/paste this link
https://www.symbolab.com/solver/factor-calculator/factor%20x%5E%7B4%7D%20%E2%88%92%205x%5E%7B2%7D%20%2B%204%20
Answer:
b
Step-by-step explanation:
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