Question

CHANGE THE SUBJECT OF A FORMULA

Make t the subject of the formula (5÷ t) -2 = s
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Make r the subject of the formula p = 3 + 2r
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Make p the subject of the formula t = 5p 2 + 40
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Make t the subject of the formula u = t /3 + 5

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Make x the subject of the formula w = x 2 + y
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Answer 1

Answer with a step-by-step explanation:

1) Making t as the subject.

`(5)/(t) -2=s\\\\(5)/(t)=s+2\\\\5=t(s+2)\\\\(5)/((s+2)) =(t)/((s+2)) \\\\(5)/((s+2))=t`

2) Making r as the subject.

`p = 3 + 2r\\\\p-3=2r\\\\((p-3))/(2) =(2r)/(2) \\\\((p-3))/(2) =r`

3) Making p as the subject.

`t = 5p ^2 + 40\\\\t-40=5p^2\\\\((t-40))/(5) =p^2\\\\\sqrt{((t-40))/(5) } =p`

4) Making t as the subject.

`u = (t)/(3) + 5\\\\u-5=(t)/(3)\\\\ 3(u-5)=t`

5) Making x as the subject.

`w = x ^2 + y\\\\w-y=x^2\\\\√((w-y)) =x`