Answer:
Question 6. M(5, 2)
Question 7. M(-6, 0)
Step-by-step explanation:
1. C(3, -5) and D(7, 9)
Use the midpoint formula:
(x1 + x2/2, y1 + y2/2)
(3 + 7/2, -5 + 9/2)
(10/2, 4/2)
(5, 2)
2. S(-8, -6) and T(-4, 6)
Use the midpoint formula:
(x1 + x2/2, y1 + y2/2)
(-8 + -4/2, -6 + 6/2)
(-12/2, 0/2)
(-6, 0)
(x₁,y₁) = (2,-3)
(x₂,y₂) = (2,9)
To determine the slope using two points lie on the line, we could use the following formula
m =

plug in the numbers
m =

m =

m =

m = undefined
The slope is undefined, the line is vertical
I think the answer may be C I'm probably wrong though.
Add the total faces: 30 + 20 + 12 = 62
Using the given equation: V + F = E +2
You have F = 62, V = 120
Now solve for E:
120 + 62 = E +2
Simplify:
182 = E +2
Subtract 2 from both sides:
E = 182 - 2
E = 180
It has 180 edges.
If the <em>width </em>(4) of a <em>rectangle </em>varies inversely as its <em>length </em>(12), the equation that represents the inverse variation is: B. 
<em><u>Recall:</u></em>
An inverse proportion relationship is represented with the equation, y = k/x.
k is the constant, which is: k = xy
<em><u>Given:</u></em>
Width varies inversely with the length of a rectangle, if:
width = 4
length = 12
The constant, k = (4)(12)
k = 48
To write the equation that matches the scenario given, plug in the value of k = 48 into y = k/x, which is:

Therefore, if the <em>width </em>(4) of a <em>rectangle </em>varies inversely as its <em>length </em>(12), the equation that represents the inverse variation is: B. 
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