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:
93
Step-by-step explanation:
78+9+(10-4)=
78+9+6=
93
Answer: 322
Step-by-step explanation:
23 students × 14 homework
=322 problems
The teacher will have to grade 322 problems
Answer:

Step-by-step explanation:
We have been given an equation
. We are asked to find the zeros of equation by factoring and then find the line of symmetry of the parabola.
Let us factor our given equation as:

Dividing both sides by 2:

Splitting the middle term:




Using zero product property:



Therefore, the zeros of the given equation are
.
We know that the line of symmetry of a parabola is equal to the x-coordinate of vertex of parabola.
We also know that x-coordinate of vertex of parabola is equal to the average of zeros. So x-coordinate of vertex of parabola would be:

Therefore, the equation
represents the line of symmetry of the given parabola.
Answer:
13 ≥ x
Step-by-step explanation:
<u>Larry has at least 3 more than Pat</u>
<u>Simplified</u>