Answer:

Step-by-step explanation:
Given


Required
The equation of the perpendicular bisector.
First, calculate the midpoint of the given endpoints



Open bracket


Next, determine the slope of the given endpoints.




Next, calculate the slope of the perpendicular bisector.
When two lines are perpendicular, the relationship between them is:

In this case:

So:


Since the slope is
, the equation is:

Where:

Recall that:

So:

Hence, the equation is:

Answer:
She can put a maximum of 10 boxes in the cart.
Step-by-step explanation:
Given that each cart that Debbie uses to move the boxes supports a maximum of 200 pounds, and that each box that she places in the cart weighs 20 pounds, to determine the maximum number of boxes that can fit in the cart, the following calculation must be performed :
200/20 = X
20/2 = X
10 = X
Thus, she can put a maximum of 10 boxes in the cart.
Answer:
The electric bill of the Leonin family was of $ 877,626.
Step-by-step explanation:
Given that the Leonin family used 90 kWh for their electric consumption for the month of August, if the power consumption costs P9.7514 per kWh, to determine how much is their electric bill, the following calculation must be performed:
9.7514 x 90 = X
877.626 = X
Thus, the electric bill of the Leonin family was of $ 877.626.