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Alexxx [7]
3 years ago
15

Can someone help me with this problem please :)

Mathematics
1 answer:
Readme [11.4K]3 years ago
4 0

Answer:

y = \frac{15}{2}

Step-by-step explanation:

Given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 10 when x = 20

k = \frac{y}{x} = \frac{10}{20} = \frac{1}{2}

y = \frac{1}{2} x ← equation of variation

When x = 15, then

y = \frac{1}{2} × 15 = \frac{15}{2}

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Answer:

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Step-by-step explanation:

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3 years ago
Rewrite the equation y−2=−3/2(x+6) in standard form.
navik [9.2K]

For this case we have that by definition, the standard form of the equation of the line is given by:

ax + by = c

We have the following equation:

y-2 = - \frac {3} {2} (x + 6)

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y-2 = - \frac {3} {2} x- \frac {3 * 6} {2}\\y-2 = - \frac {3} {2} x \frac {18} {2}\\y-2 = - \frac {3} {2} x-9\\y-2 + 9 = - \frac {3} {2} x\\y-7 = - \frac {3} {2} x\\2 (y-7) = - 3x\\2y-14 = -3x\\3x + 2y = 14

Finally, the equation is:

3x + 2y = 14

Answer:

3x + 2y = 14

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