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motikmotik
4 years ago
14

How do work this out

Mathematics
1 answer:
BabaBlast [244]4 years ago
6 0
We can factor this by using grouping. Take the leading coefficient and multiply it by the constant. In this case we get 5*-7 = -35. 

Now we need 2 numbers that add to 2 and multiply to be -35. The numbers are -5 and 7.

So split the 2r into these two terms and group.

(5r^2 - 5r) + (7r - 7)

Factor both groups.

5r(r-1) + 7(r-1)

The factors of (r-1) can be added together to get the answer.

(r-1)(5r+7)
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22. Which equation has solutions of -2 and 3?
tatyana61 [14]

Answer:

  B. y=x²-x-6

Step-by-step explanation:

Consider the product ...

  0 = (x -a)(x -b) = x² -(a+b)x +ab

This equation has solutions x=a and x=b. You will note that ...

  • the constant is the product of the solutions (ab)
  • the coefficient of x is the opposite of their sum (-(a+b))

For solutions of -2 and 3, the constant will be (-2)(3) = -6. This eliminates choices C and D.

The sum of the solutions is -2+3 = 1, so the coefficient of x is -1, matching choice B.

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Travel and tourism stabilized in the usa in 2010
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Finding perimeter and area.
Aleks04 [339]

Answer:

1. P = 14cm; A = 10cm^2

2. P = 24cm; A = 12cm^2

3. P = 32cm; A = 63cm^2

4. P = 36cm; A = 80cm^2

5. P = 32cm; A = 60cm^2

6. P = 36cm; A = 81cm^2

7. P = 26cm: A = 30cm^2

8. P = 28cm; A = 49cm^2

9. P = 26cm: A = 42cm^2

Step-by-step explanation:

Formula to find perimeter for a rectangle:

length + width + length + width

l + w + l + w

Formula to find area for a rectangle:

length × width

l × w

1.

Perimeter (P): 5 + 2 + 5 + 2 = 14

Area (A): 5 × 2 = 10

2.

P: 6 + 2 + 6 + 2 = 24

A: 6 × 2 = 12

3.

P: 7 + 9 + 7 + 9 = 32

A: 7 × 9 = 63

4.

P: 10 + 8 + 10 + 8 = 36

A: 10 × 8 = 80

5.

P: 10 + 6 + 10 + 6 = 32

A: 10 × 6 = 60

6.

P: 9 + 9 + 9 + 9 = 36

A: 9 × 9 = 81

7.

P: 10 + 3 + 10 + 3 = 26

A: 10 × 3 = 30

8.

P: 7 + 7 + 7 + 7 = 28

A: 7 × 7 = 49

9.

P: 6 + 7 + 6 + 7 = 26

A: 6 × 7 = 42

Area will always have its units squared (cm^2) because the formula requires we multiply the numbers and therefore the units: cm × cm = cm^2

4 0
3 years ago
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