Solve: 5 (x+2) +2x make sure to show your work
2 answers:
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Answer:
The coordinates of point B are (3 , 7)
Step-by-step explanation:
* Lets explain how to solve the problem
- If point (x , y) divides a line segments whose endpoints are
and at ratio
from the first point
, then
and
∵ Point A = (-5 , 3)
∵ The point of dinision (x , y) = (1 , 6)
∵ Point B =
- Point (1, 6) is 3/4 of the way from A to B, that means the distances
from A to (1 , 6) is 3 parts and from (1 , 6) to B is (4 - 3) = 1 part
∴ = 3 : 1
∵
∴
- Multiply each side by 4
∴
- Add 5 to both sides
∴
- Divide both sides by 3
∴
∴ The x-coordinate ob point B is 3
∵
∴
- Multiply each side by 4
∴
- Subtract 3 to both sides
∴
- Divide both sides by 3
∴
∴ The y-coordinate ob point B is 7
*<em> The coordinates of point B are (3 , 7)</em>