Answer:

Step-by-step explanation:
Point B partitions AC in a 3:4 ratio.
B is located at (4,1) and C is located at (12,5).
Let
be the coordinates of A.
Then 
But m:n=3:4 implies m=3 and n=4 and 






Answer:
n = -2
Step-by-step explanation:
6n = 2n-8
4n = -8
n = -2
Notice how on both sides of the equation there is one coefficient (number being multiplied by x) and a constant (just a plain number). You want all constants to be on one side and all coefficients on the other. He’s how do to that:
2x+14=-21-5
I am choosing that all constants will be on the right side, so I will do the inverse operation of any constant on the left side to remove it. Here, a constant on the left side is 14. I will subtract 14 from both sides of the equation. Positive 14 minus 14 is zero, so it cancels out and removes it.
2x+14-14 = -21-5x
2x = -35-5x
See how the 14 is now gone? The equation looks much simpler now. Okay next, you can see that there is a coefficient on the “constant side” that I’ve chosen, so I am going to remove that. Negative 5 plus positive 5 equals zero. Do this on both sides of the equation.
2x+5x = -35-5x+5x
7x = -35
Now the equation is just two numbers. All that is left to do is divide by the last coefficient, 7, in this case.
7x/7 = -35/7
x = -5
Answer:
Step-by-step explanation: 4y+8=9 is an equation. 3-2 is an expression. 7y<6 is an inequality!
Hi there! Hopefully this helps!
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Answer: 14.
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First we calculate <u>3 to the power of 2</u> and get 9.
|
\/
9 + 9 -
= 14.
Now we add<u> 9 + 9</u> to get 18.
18 -
= 14.
Then, we<u> divide 8 by 2</u> to get 4.
18 - 4 = 14.
Then we subtract<u> 4 from 18</u> to get.....You guessed it,<u> 14</u>!