Write the equation of the perpendicular bisector of the segment AB.
A (1, 5) and B (7, -1)

The equation of the perpendicular bisector of the segment AB is

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

In which m is the slope and b is the y-intercept.

Perpendicular lines and slopes:

If two lines are perpendicular, the multiplication of their slopes is -1.

Equation of the perpendicular bisector of the segment AB.

Equation of a line that passes through the midpoint of segment AB and is perpendicular to AB.

Midpoint of segment AB:

Mean of their coordinates x and y. So

(1+7)/2 = 4

(5-1)/2 = 2

So (4,2).

Slope of segment AB:

When we have two points, the slope between them is given by the change in y divided by the change in x.

In segment AB, we have points (1,5) and (7,-1). So

Change in y: -1 - 5 = -6

Change in x: 7 - 1 = 6

Slope: -6/6 = -1

Equation of the perpendicular bisector:

The slope, multiplied with the slope of segment AB, is -1. So

So

Passes through (4,2), which means that when . So

So

11

step-by-step explanation:

32.50-7.50=25

225/25=11

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204