Okay, so let's start with the labeling first:
(-4 = x1, 3 = y1) and (5 = x2, -6 = y2)
So now it's time to use the formula:
x Midpoint = (x1 + x2) / 2
y Midpoint = (y1 + y2) / 2
So then that would be:
x Midpoint = (-4 - 5) = (4 + 5) / 2 = 4.5
y Midpoint = (3 - -6) = (3 + 6) / 2 = 4.5
So therefore our answer for the midpoint would be:
(4.5, 4.5) which is D
Answer: 20%
Step-by-step explanation:
Explanation is in progress of writing:
First, I will divide 60 by 75 and multiply by 100, to find what percent of 75 is 60:
=
· 100
= 0.8 · 100
= 80%
Answer:
-1/2
Step-by-step explanation:
To find the slope, pick two points on the line, and use the slope formula
( 1,9) and (5,7)
m = (7-9 )/(5-1)
-2/4
-1/2
Answer:
1/8 of the budget was left for other expenses.
Step-by-step explanation:
1/4 of the budget - buildings and maintenance.
Administrative personnel : 1/4 + 1/8 = 2/8 + 1/8 = 3/8 of the budget.
Therefore:
3/8 of the budget - administrative personnel.
Public safety : 3/8 - 1/8 = 2/8 = 1/4 of the budget.
For other expenses :
1 - ( 1/4 + 3/8 + 1/4 ) = 1 - ( 2/8 + 3/8 + 2/8 ) 1 - 7/8 = 1/8
Finally, 1/8 of the total budget was for the other expenses.
The perimeter solved shows that the dimensions of the rectangle are 32 and 10.
<h3>How to calculate the perimeter</h3>
Let the width be w
Length = 3w + 2
Perimeter = 2(length + width)
Perimeter = 2(3w + 2) + 2w
6w + 4 + 2w = 84
8w + 4 = 84
8w = 84 - 4
w = 80/8
w = 10
Length = 3w + 2
Length = 3(10) + 2
Length = 32
The dimensions of the rectangle are 32 and 10.
Learn more about perimeter on:
brainly.com/question/19819849