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djyliett [7]
3 years ago
11

Roy drives a sedan that gets mileage of 30 miles per gallon. If fuel consumption is represented by g and mileage by m, which fun

ction represents the relationship between m and g? A. m = f(g) = 30 × g B. m = f(m) = 30 × m C. g = f(m) = 30 + m D. m = f(g) = g − 30 E. m = f(g) = g ÷ 30
Mathematics
1 answer:
Troyanec [42]3 years ago
4 0

This question is given you the information of the two units mileage in terms of miles per gallon and fuel consumption. G is gallons. Therefore meaning, total distance is equal (=) to mileage times (X) fuel consumption.

The answer is: A) m = f(g) = 30 × g

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Write an equation of the perpendicular bisector of the segment with endpoints Q(−2,0)
olga nikolaevna [1]

The equation of perpendicular bisector of QR is:

y = -\frac{2}{3}x+\frac{22}{3}

Step-by-step explanation:

Given points are:

Q(-2,0)\ and\ R(6,12)

First of all, we have to find the slope of the given line

So,

m = \frac{y_2-y_1}{x_2-x_1}

Here

(x1,y1) = (-2,0)

(x2,y2) = (6,12)

Let m1 be the slope of QR:

Then

m_1 = \frac{12-0}{6+2}\\= \frac{12}{8}\\= \frac{3}{2}

Let m2 be the slope of perpendicular bisector

We know that the product of slopes of two perpendicular lines is -1

m_1.m_2 = -1\\\frac{3}{2}.m_2 = -1\\m_2 = -1 * \frac{2}{3}\\m_2 = -\frac{2}{3}

The bisector will pass through the mid-point of QR

M = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\M = (\frac{-2+6}{2}, \frac{0+12}{2})\\M = (\frac{4}{2}, \frac{12}{2})\\M = (2,6)

Slope-intercept form of equation is:

y = m_2x+b

Putting the value of slope

y = -\frac{2}{3}x+b

Putting (2,6) in the equation

6 = -\frac{2}{3}(2)+b\\6 = -\frac{4}{3}+b\\b = 6+\frac{4}{3}\\b = \frac{18+4}{3}\\b = \frac{22}{3}

So,

y = -\frac{2}{3}x+\frac{22}{3}

Hence,

The equation of perpendicular bisector of QR is:

y = -\frac{2}{3}x+\frac{22}{3}

Keywords: Mid-point, equation of line

Learn more about equation of line at:

  • brainly.com/question/774670
  • brainly.com/question/763150

#LearnwithBrainly

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the equation is

12x+28y=84


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Step-by-step explanation:

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