Answer:
2 (3 - 7 r)
Step-by-step explanation:
Simplify the following:
-4 (3 r - 2) - 2 (r + 1)
-4 (3 r - 2) = 8 - 12 r:
8 - 12 r - 2 (r + 1)
-2 (r + 1) = -2 r - 2:
-12 r + -2 r - 2 + 8
Grouping like terms, -2 r - 12 r - 2 + 8 = (8 - 2) + (-12 r - 2 r):
(8 - 2) + (-12 r - 2 r)
-12 r - 2 r = -14 r:
-14 r + (8 - 2)
8 - 2 = 6:
6 - 14 r
Factor 2 out of 6 - 14 r:
Answer: 2 (3 - 7 r)
Answer:
39
Step-by-step explanation:
Angle AQC, AQB and BQC are 120deg. (360/3=120). Therefore, Angle BZC, CXA and AYB are 60deg. Because, angle BZC is half of angle BQC. same for the other three angles. As, all 3 angles are 60deg, it is an equilateral triangle. So, YZ is 13 therefore as all 3 sides are equal its 13*3=39.
Answer:
The area of △ABC is 2 square units greater than the area of parallelogram GHJK.
Step-by-step explanation:
Computing an integral by substitution is the reverse of the chain rule for computing the derivative. Substitution is intended to rewrite a complicated-looking integral involving the derivative of some component expression as another much simpler integral. For example, if
, then
and

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Integration by parts is the reverse of the product rule for derivatives:

Integrating both sides with respect to
gives


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Personally, I think the best way to grasp the idea behind the two methods is to practice. You start to notice patterns to the point where knowing which is the "right" method to use becomes second nature.