Answer:

Step-by-step explanation:
<u>Perpendicular Bisector</u>
The bisector of a segment defined by points (x1,y1) and (x2,y2) must pass by the midpoint of the segment.
The midpoint (xm,ym) is calculated as follows:


The endpoints of the segment are (-3,-8) and (5,-4), thus the midpoint M is:


Midpoint: M(1,-6)
Let's find the slope of the given segment. The slope can be calculated with the formula:


If the bisector is also perpendicular, its slope m2 and the slope of the segment m1 must comply:

Solving for m2:

Once we have the slope -2 and the point through which our line must pass (1,-6), we compute the equation in its point-slope form:


Operating


Rearranging

Answer:
6.85565
Step-by-step explanation:
Step-by-step explanation:
The sum of consecutive squares is

Therefore

Answer:
We are asked to determine the correct factorization of the given trinomial which is 5x² - 5x -100. The solution to this problem is shown below:
5x² - 5x - 100 let the problem equal to zero such as:
5x² - 5x - 100 = 0 , factor out 5 from the given trinomial
5(x²-x-20) = 0
5 (x-5)(x+4) = 0
The correct factor is 5(x-5)(x+4).
Step-by-step explanation: