The product of the perpendicular lines is a negative one. Then the value of p will be negative 3.75.
<h3>What is coordinate geometry?</h3>
Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
Given the points K(-2,5), L(1,3) and M(-5, 2p).
If KL is perpendicular to LM. Then we have
The slope of KL will be
KL = (1+2)/(3-5)
KL = -1.5
The slope of LM will be
LM = (1+6)/(3-2p)
LM = 7/(3-2p)
We know the product of the perpendicular lines is a negative one.
KL x ML = -1
-1.5 x 7/(3-2p) = -1
-10.5 = -3 + 2p
2p = -7.5
p = -3.75
More about the coordinate geometry link is given below.
brainly.com/question/1601567
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5 3/4 -4 1/10
= 23/4 -41/10
= 115/20 -82/20
= 33/20
= (20+13)/20
= 20/20+ 13/20
= 1+ 13/20
= 1 13/20
The final answer is 1 13/20~
Answer:616 cm²
Step-by-step explanation:
M = (y2 - y1) / (x2 - x1)
m = (-2 - 2) / (4 - 0)
m = -4 / 4
m = -1
The slope of the line that goes through (0, 2) and (4, -2) is -1.
