If f(x) is parallel to the line y=3/4x+2/5, which function could be f(x)?

Mathematics

1 answer:

Ne4ueva [31]3 years ago

6 0

Answer:

f(x) will be any function that has the slope of 3/4

slope is represented by m in y = mx+b.

This is because parallel lines always have the same slopes, while perpendicular lines have the negative reciprocal of given slope.

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5/9(g + 18) = 1/6g +3

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For this case we have the following equation:

$\frac {5} {9} (g + 18) = \frac {1} {6} g + 3$

Applying distributive property on the left side of the equation we have:

$\frac {5} {9} g + \frac {5 * 18} {9} = \frac {1} {6} g + 3\\\frac {5} {9} g + \frac {90} {9} = \frac {1} {6} g + 3\\\frac {5} {9} g + 10 = \frac {1} {6} g + 3$

Subtracting $\frac {1} {6} g$ to both sides of the equation:

$\frac {5} {9} g- \frac {1} {6} + 10 = 3\\\frac {6 * 5-9 * 1} {9 * 6} g + 10 = 3\\\frac {30-9} {54} g + 10 = 3\\\frac {21} {54} g + 10 = 3\\\frac {7} {18} g + 10 = 3$