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2 years ago

Please help and show step by step pls

Mathematics

1 answer:

Brut [27]2 years ago

3 0

First notice that

x ² + 5x + 6 = (x + 3) (x + 2)

so you can rewrite everything with a common denominator:

5 / (x ² + 5x + 6) + 7 / (x + 2) = 6 / (x + 3)

5 / (x ² + 5x + 6) + 7 (x + 3) / ((x + 2) (x + 3)) = 6 (x + 2) / ((x + 3) (x + 2))

5 / (x ² + 5x + 6) + 7 (x + 3) / (x ² + 5x + 6) = 6 (x + 2) / (x ² + 5x + 6)

(5 + 7 (x + 3)) / (x ² + 5x + 6) = 6 (x + 2) / (x ² + 5x + 6)

As long as x ≠ -3 or x ≠ -2, the denominators are never zero, so we can cancel them and be left with

5 + 7 (x + 3) = 6 (x + 2)

Solving for x is easy from here:

5 + 7x + 21 = 6x + 12

7x - 6x = 12 - 5 - 21

x = -14

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I don't know. But I know how to find it. Let's work it out together:

5x = 2x + 20

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11111nata11111 [884]

Answer:

The dog's running area is approximately 942 feet².

Step-by-step explanation:

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$\text{dog's area} = \text{circle's area} - \text{arc's area}\\\\\text{dog's area} = pi*(20^2) - \frac{90}{360}*pi*(20^2)\\\\\text{dog's area} = \frac{270}{360}*pi*(400)\\\\\text{dog's area} = 942.477\text{ feet}^2$

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3 years ago

Which equation can be used to find the solution of (1/4)^y+1=64?

Ne4ueva [31]

Answer:

−y−1=3

Step-by-step explanation:

Which equation can be used to find the solution of (1/4)^y+1=64?

This can be solved by power of indices

(1/4)^(y+1)=64

(4^-1)^(y + 1)= 4^3

Note

(x^a)^b = x^ab

Hence:

4^(-1)(y + 1)= 4^3

4^-y - 1 = 4^3

Divide both sides by 4

−y−1=3

Hence, the equation that can be used to find the solution of (1/4)^y+1=64 is

−y−1=3

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2 years ago

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3 years ago