We have 
.
First let us factor the 2 to obtain,
We can now see clearly that the expression inside the parentheses is a difference of two squares.
We now write the 4 as 2². So that we obtain the expression,
Recall that
Hence our expression becomes,
Therefore, when factored completely,
So what I would do is first multiply the mean by 4 and that is the total u need, 146.5, to have a mean of 36 and 5/8. Next I add the lengths given, which is 110.625, and then I would subtract it from 146.5 which is 35.875 which is 35 and 7/8. You can also check the answer by finding the mean of the 4 numbers and determining if it comes out to 36 and 5/8. The answer is C. Hope this helps!
The rest of the question is the attached figure
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solution:
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As show in the attached figure
∠M = ∠R = 54.4°
∠N = ∠T = 71.2°
∠O = 180° - (∠M + ∠N) = 180° - (54.4°+71.2°) = 54.4°
∠S = 180° - (∠R + ∠T) = 180° - (54.4°+71.2°) = 54.4°
∠O = ∠S = 36°
∴ Δ MNO is similar to Δ RTS
So, the correct statement:
The triangles each have two given angle measures and one unknown angle measure.
Answer:
Erm idk what you meant but the answers either 0.8 or .125
Hope this helped!
Good luck :p
~ Emmy
9514 1404 393
Answer:
14. C
15. C
Step-by-step explanation:
14. The function is entirely in quadrants I and II, so the leading coefficient is positive. This eliminates choices A and B.
The horizontal asymptote is 0, not -1, eliminating choice D.
The curve is best described by the equation of choice C.
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15. The domain and range of an unadulterated exponential function are ...
domain: all real numbers; range: y > 0 . . . . matches choice C
