The coordinates for D are (-4, -7)
First we must locate point B as it is vital to finding the midpoint of BD. To do this, we take the average of the endpoints AC since B is its midpoint.
x values = -9 + 1 = -8
Then divide by 2 for the average -8/2 = -4
y values = -4 + 6 = 2
Then divide by 2 for the average 2/2 = 1
Therefore B must be (-4, 1)
Now we know the values of E must be the average of B and D. So we can write equations for each coordinate since we know they are averages.
x - values = (Bx + Dx)/2 = Ex
(-4 + Dx)/2 = -4 ---> multiply both sides by 2
-4 + Dx = -8 ---> add -4 to both sides
Dx = -4
y - values = (By + Dy)/2 = Ey
(1 + Dy)/2 = -3 ---> multiply both sides by 2
1 + Dy = -6 ---> subtract 1 from both side
Dy = -7
So the coordinates for D must be (-4, -7)
Answer:
5 stickers were put in each bag.
Step-by-step explanation:
There is a total of 56 presents and 7 gift bags. If she puts three pencils in each bag, 7 times 3 is 21. 56 presents minus 21 pencils is 35 presents left. 35 divided by 7 is 5, so there are 5 stickers in each bag.
Part A: y-intercept = 12 miles
Part B: Find the average rate of change: 36 - 20/2 = 16/2 = 8 mph
This tells us that the bird can travel long distances.
Part C: 172 - 12 = 160 miles at a rate of 8 mph
160 mi ÷ 8mph = 20 hrs
Domain of function = 0 ≤ x ≤ 20
Answer:
A, B
Step-by-step explanation:
A. 12/3=4
B. 4/1=4
C. 6/4=1 1/2
D. 4/6=2/3
