Step-by-step explanation:
the midpoint between 2 points (x1, y1) and (x2, y2) is simply ((x1+x2)/2, (y1+y2)/2).
so,
1.
(9, 7) to (4, -3)
midpoint is ((9+4)/2, (7+ -3)/2) = (13/2, 4/2) = (6.5, 2)
2.
(-7, -5) to (2, 1)
midpoint is ((-7+2)/2, (-5+1)/2) = (-5/2, -4/2) = (-2.5, -2)
3.
now we have the midpoint and need the second point.
(4, 2) over (3, 4) to (x, y)
3 = (4 + x)/2
6 = 4 + x
x = 2
4 = (2 + y)/2
8 = 2 + y
y = 6
4.
(-2, 1) over (-3, 2) to (x, y)
-3 = (-2 + x)/2
-6 = -2 + x
x = -4
2 = (1 + y)/2
4 = 1 + y
y = 3
(-1, 5) because if you plug in -1 to both equations, you should get 5 from both equations. They also cross at that point, making that the solution.
1/4 (8 + 6z + 12)
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Combine like terms :
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1/4 (6z + 20)
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Apply distributive property :
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1/4(6z) + 1/4(20)
3/2z + 5
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Answer: 3/2z + 5
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Answer:
3 people attended the banquet
Step-by-step explanation:
The function is given as:
b = 75 + 15n where
b represents the total = 122
n represents the number of people attending = ??
If the total cost of the banquet is 122, how many people attended the banquet?
Hence,
122 = 75 + 15n
122 - 75 = 15n
47 = 15n
Divide both sides by 15
n = 47/15
n = 3.1333333333
Approximately to the nearest whole number = 3
Therefore, 3 people attended the banquet.
