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Marat540 [252]
3 years ago
5

If the expression f^2+g^4-2f+1 is rewritten in the form a^2+(g^2)^2, what must be the value of a?

Mathematics
1 answer:
sdas [7]3 years ago
6 0

Answer: √(f^2 - 2f + 1) = a

Step-by-step explanation:

We have that:

f^2+g^4-2f+1 =  a^2+(g^2)^2

And we want to find the value of a, so we should isolate it.

f^2 + g^4  - 2f + 1 = a^2 + g^(2*2) = a^2 + g^4

where i used that (x^y)^z = x^(y*z)

We can remove the term g^4 in both sides of the equation and get:

f^2 - 2f + 1 = a^2

now we can apply the square rooth to both sides and get

√(f^2 - 2f + 1) = a

So we just found the value of a.

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Olive can read 5 pages of her book in 20 minutes. At what unit rate is olive reading?
Luda [366]

Answer:

1/4 page per minute

Step-by-step explanation:

To find the unit rate, we need the amount of page she read in 1 minutes. To do this we divide the pages by the minutes. Let x equal the pages she reads per minutes.

5/20=x

we can simplify  the fraction by divide both the numerator and denominator by 5

(5/5)/(20/5)=x

Do the division

1/4=x

Olive reads 1/4 page per minute

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2 years ago
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barxatty [35]

Answer:

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3 0
2 years ago
How do you find the width of a rectangle
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2 years ago
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8 times the difference between a number and 6 is equal to 4 times the number.
7nadin3 [17]

Answer:

The variable titled "the number" is A: 12.

Step-by-step explanation:

The problem is 8 * (x - 6) = 4 * x

Try the first number as x and rewrite the expression.

8 * (12 - 6) = 4 * 12

Following PEMDAS (the Order of Operations), you need to solve the problem inside the parenthesis.

12 - 6 = 6

Rewrite the problem.

8 * 6 = 4 * 12

8 times 6 is 48.

4 times 12 is 48.

The variable in the expression 8 * (x - 6) = 4 * x is 12.

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2 years ago
Solve for brainiest; thanks in advance
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Can you show a clearer picture ??
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