The midpoint formula for a segment is:

apply to points R and P

using the definition of slope find the slope of the segment

apply to points R and P

to lines are parallel when the slopes are the same

two lines are perpendicular when the product of the slopes is equal to -1
Answer:
Infinite Solutions
Step-by-step explanation:
x + 2y = 10
6y = 3x - 30
To solve for x and y we use substitution method
Let's solve the first equation for x
x + 2y = 10
Subtract 2y on both sides
x = 10 - 2y
Now plug in x in second equation
6y = -3x + -30
6y = -3 (10-2y) - 30
6y = -30 + 6y - 30
6y = 6y
Both sides are the same, so both x and y have infinite solutions.
Answer:
Total amount Tara earned for babysitting for h hours = 8h
Step-by-step explanation:
Amount earned per hour for babysitting = $8.00
Number of hours of babysitting = h hours
Total amount Tara earned for babysitting for h hours =
Amount earned per hour for babysitting × Number of hours of babysitting
= 8 × h
= 8h
Total amount Tara earned for babysitting for h hours = 8h
12/16 which would reduce to 6/8 which can also reduce further to 3/4! :) so the final answer is 3/4.
15*5=75
79-75=4
If Luis gives each of his classmates 5 pencils each, he will have 4 leftover to give to his teacher
16*4=64
79-64=15
If Luis gives himself AND each of his classmates 4 pencils each, he will have 15 leftover to give to his teacher
So... If Luis decides to take an equal share of pencils along with his classmates, his teacher will receive more pencils.