Solve s=m/4(a+h) for h

Mathematics

1 answer:

Pavlova-9 [17]2 years ago

4 0

Answer:

h = (m/4 - as)/s

Step-by-step explanation:

s = m / 4(a+h)

(a+h) · s = m/4 >multiplied (a+h) on both side

as + hs = m/4 >distributed the s to (a+h)

hs = m/4 - as >subtracted as on both side

h = (m/4 - as)/s >divided s on both side

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Does the table show a direct proportional relationship? If so, what is the constant of proportionality?

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Answer:

C. Yes, 3.5.

Step-by-step explanation:

If there is a relationship of direct proportionality for every ordered pair of the table, then the constant of proportionality must the same for every ordered pair. The constant of proportionality ( $k$ ) is described by the following expression:

$k = \frac{y}{x}$ (1)

Where:

$x$ - Input.

$y$ - Output.

If we know that $(x_{1}, y_{1}) = (13, 45.5)$ , $(x_{2}, y_{2}) = (14, 49)$ and $(x_{3}, y_{3}) = (15, 52.5)$ , then the constants of proportionalities of each ordered pair are, respectively: