*PLEASE HELP*
The equations of lines K,P,and M are given below
K: x+2y=6
P: 6x + 3y=12
M: -x+ 2y=10
which statement is true
*ANSWERS ARE IN THE PICTURE*
Answers
Answer:
M is perpendicular to KStep-by-step explanation:
Given the equations of the following line
K: x+2y=6
P: 6x + 3y=12
M: -x+ 2y=10
First we need to get the slpe of each line as shown;
For K:
K: x+2y=6
Rewrite in standard form;
2y = -x + 6
y = -1/2 x + 6/2
y = -1/2 + 3
Slope of K is -1/2
For P:
P: 6x + 3y=12
Rewrite;
3y = -6x + 12
y = -6/3 x + 12/3
y = -2x + 4
Slope of P is 2
For M;
M: -x+ 2y=10
Rewrite
2y = x + 10
y = 1/2 x + 10/2
y = 1/2 x + 5
Slope of M is 1/2
Taking the product of slope K and P
Mk * Mp = -1/2 * 2
Mk * Mp = -1
Since the slope of K and P is -1, hence line M and line P are perpendicular
Related Questions
An equilateral triangle has a side length of 1.4x + 2 inches
. A regular hexagon has
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op
SOLUTION
Answers
Answer:
The Perimeter of an equilateral triangle = 1.4x+2+1.4x+2+1.4x+2
= 4.2x+6
The Perimeter of a regular hexagon = 0.5x+2+0.5x+2+0.5x+2+0.5x+2+0.5x+2+0.5x+2
= 3x+12
Given that the perimeters are equal
4.2x+6 = 3x+12
4.2x - 3x = 12-6
1.2x = 6
x = 6/1.2
x=5
The side length of the triangle = 1.4x+2
= 1.4 (5) +2
= 9 inches
The side length of hexagon = 0.5x+2
= 0.5(5) +2
= 4.5inches
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