The line joining the points (2,-1) and (5,-6) is bisected at P. If P lies on the line 2x+4y+K=0, find the value of K
1 answer:
Answer:
k = 7
Step-by-step explanation:
Find the coordinates of P using the midpoint formula
P = [(2 + 5),
(- 1 - 6) ]
= ( , -
)
Since the line passes through P the the coordinates of P make the equation true.
Substitute the coordinates of P into the equation
2 × + 4 × -
+ k = 0, that is
7 - 14 + k = 0
- 7 + k = 0 ( add 7 to both sides )
k = 7
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Answer:
22
Step-by-step explanation:
The problem can be solved geometrically. By this way, the solution is going to be easy, as well.
We can see from the attached graph that the coordinates are the vertexes.
Considering a unit distance, we can find that the width of this rectangle is:
4 = 12 - 8
and the length is:
7 = 6-(-1)
Then, the perimeter is P = (4+7)*2 = 22
