Answer:
The coordinates of C is (-8,1)
Step-by-step explanation:
Looking at the attached image, you'd see that, AB is 1 and BC is 1, that's because we are told that ratio of AB to AC is 1:2 meaning, AC is 2 and AB is 1. Therefore for that ratio to be satisfied BC has to be 1 so that AC would be 2.
Now let's assume the coordinates of C is
.
To get it's coordinates, we use the section formula:

Where (m,n) is the (AB, BC)
Therefore we have

This gives:

and 
From there x = -8 and y = 1
Therefore the coordinates of C is (-8, 1).
Answer:
Elimination (multiplication and subtraction)
There is 1 solution
Step-by-step explanation:
The only way to solve this system of equations is by elimination (multiplication). Let's say that we want to cancel out the x. You multiply the first equation by 5 and you multiply the second equation by 2.
Your equations now are:
10x-5y=55 and 10x+6y=-22
You can subtract these equations to get -11y = 77.
Now that we know that y = -7, we can substitute y in to solve x.
10x-5(-7) = 55
10x=20
x=2
Final answer (2,-7)
Answer:
-12(2k-10)
Step-by-step explanation:
You divide each term by -12, and then put -12 outside of the parenthesis. The parenthesis contain the new equation you just created.
Answer:
3y+3
Step-by-step explanation:
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