The simplification of a³ - 1000b³ and 64a³ - 125b³ is (a - 10b) × (a² + 10ab + 100b²) and 4a - 5b) • (16a² + 20ab + 25b²) respectively.
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Simplification</h3>
Question 1: a³ - 1000b³
a³ - b³
= (a-b) × (a² +ab +b²)
- 1000 is the cube of 10
- a³ is the cube of a¹
- b³ is the cube of b¹
So,
(a - 10b) × (a² + 10ab + 100b²)
Question 2: 64a³ - 125b³
a³ - b³
= (a-b) × (a² +ab +b²)
- 64 is the cube of 4
- 125 is the cube of 5
- a³ is the cube of a¹
- b³ is the cube of b¹
So,
(4a - 5b) • (16a² + 20ab + 25b²)
Learn more about simplification:
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Since k is constant (the same for every point), we can find k when given any point by dividing the y-coordinate by the x-coordinate.
So the ratio to longboard to short board is 1:4, the total of that ratio is 5. 35 ÷ 5 = 7. now we're going to take those ratios and multiply 1 × 7 = 7 and 4 × 7 = 28. Your final answer is B. to confirm your answer add 28 + 7.
Answer:
B) no, because the corresponding angles are not congruent
Step-by-step explanation:
Similar triangles must have proportional sides, as well as congruent corresponding angles. In this instance, we can see that the angles are not <em>congruent</em>, and so there is no need to solve for proportion.
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Split 
into two component segments, 
and 
, parameterized by
respectively, with 
, where 
.
We have
where 
so the line integral becomes
