Answer:
(-2, 6)
Step-by-step explanation:
Since you want a 1 to 7 ratio, you want to divide the line into 2 parts, where one part has a length of 1 and the other has a length of 7. So the total length of the line is 8.
Start by looking at the difference in the X and Y coordinates.
X = | -4 - 12 | = | -16 | = 16
Y = | 7 - -1 | = | 8 | = 8
You could calculate the length of the line using pythagorian's theorem, but that's not needed. Simply use similar triangles. We have a right triangle with legs of length 16 and length 8. We want a similar triangle that is 1/8th as large (to get the desired 1 to 7 ratio). So divide both legs by 8, getting lengths of 16/8 = 2, and 8/8 = 1.
Now add those calculated offsets to point A.
A has an X coordinate of -4 and B has an X coordinate of 12 and the X coordinate for C must be between those limits. So calculate -4 + 2 = -2 to get the X coordinate for C.
The Y coordinate of A is 7 and the Y coordinate of B is -1. And since the Y coordinate must be between then, you have 7 - 1 = 6.
So the coordinates for C is (-2, 6)
Answer:
6y - 3y - 7 = -2 +3
Simplify both sides:
3y -7 = 1
Add 7 to both sides:
3y = 8
Divide both sides by 3:
y = 8/3 = 2 2/3
There is only one solution.
Answer:
1
Step-by-step explanation:
15 is a prime number
Answer:
The team can look at who has been there the longest to pick the captian, and then the assistants can be two people who the captian would best work with. Also look for loyalty and integridy, honestly and good traits that have been shown.
4 - -2
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