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Agata [3.3K]
3 years ago
13

If a varies directly as b and a=3 when b=12, what is the value of a when b=18?

Mathematics
1 answer:
Zepler [3.9K]3 years ago
4 0

Answer:

a is proportional to b

a=kb

k is proportionality constant

k =a/b =3/12 =1/4

k=1/4 = a/b=a/18

1/4=a/18

a=18/4 =9/2 =4.5 answer

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What equation results from completing the squre and then factoring x^2+10=15
nlexa [21]

For this case we must complete squares:

x ^ 2 + 10x = 15

We add the square of half the coefficient of the term "x",

(\frac {b} {2a}) ^ 2 on both sides of the equation:

x^2+10x+(\frac {10} {2 (1)}) ^ 2 = 25 + 15\\x ^ 2 + 10x + 5 ^ 2 = 25 + 15

According to the perfect square trinomial we have:

(a + b) ^ 2 = a ^2 + 2ab + b ^ 2

Rewriting the expression we have:

a = x\\b = 5\\(x + 5) ^ 2 = 25 + 15\\(x + 5) ^ 2 = 40

ANswer:

(x + 5) ^ 2 = 40

6 0
3 years ago
For a given input value b, the function f outputs a value a to satisfy the following equation. 4a+7b=−52 Write a formula for ) f
Sergio [31]

Answer: Our required formula becomes :

a=f(b)=-13-\frac{7}{4}b

Step-by-step explanation:

Since we have given that

4a+7b=-52\\

We need to write a formula for f(b) in terms of b So, it becomes

4a=-52-7b\\\\a=\frac{-52-7b}{4}\\\\a=\frac{-52}{4}-\frac{7b}{4}\\\\a=-13-\frac{7b}{4}

Hence, our required formula becomes :

a=f(b)=-13-\frac{7}{4}b


5 0
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Answer:

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Step-by-step explanation:

i hope its correct and helful

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2 years ago
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