b6270541 b6270541
  • 29-09-2021
  • Mathematics
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2. Consider the following equation x = rh/y Part A: Solve the equation for h.​

2 Consider the following equation x rhy Part A Solve the equation for h class=

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djtwinx017
djtwinx017 djtwinx017
  • 29-09-2021

Answer:

h = –xy + r

Step-by-step explanation:

Given the equation, [tex]x = \frac{r-h}{y}[/tex]:

To solve for h:

Multiply both sides of the equation by y to cancel the fraction on the right-hand side:

[tex]x (y) = (\frac{r-h}{y}) (y)[/tex]

[tex]xy = r - h[/tex]

Next, subtract r from both sides:

xy – r = r – r – h

xy – r = – h

Next, divide both sides by -1  to solve for h:

[tex]\frac{xy - r}{-1} = \frac{-h}{-1}[/tex]

Therefore, the equation for h is:

h = –xy + r

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