Answer:
Therefore,
Slopes are Equal, Hence the Lines are not Perpendicular.
Step-by-step explanation:
Given:
.......Equation ( 1 )
.......Equation ( 2 )
Comparing with,
......General Slope point form
Where m =slope
We get
For Equation ( 1 )
For Equation ( 2 )
Hence,

Therefore, Slopes are Equal Hence the Lines are Parallel not Perpendicular.
For Perpendicular we require

Therefore,
Slopes are Equal, Hence the Lines are not Perpendicular.
Answer:
The other midpoint is located at coordinates (-9,-2) (Second option)
Step-by-step explanation:
<u>Midpoints</u>
If P(a,b) and Q(c,d) are points in
, the midpoint between them is the point exactly in the center of the line that joins P and Q. Its coordinates are given by


We are given one endpoint at P(1,-2) and the midpoint at M(-4,-2). The other endpoint must be at an equal distance from the midpoint as it is from P. We can see both given points have the same value of y=-2. This simplifies the calculations because we only need to deal with the x-coordinate.
The x-distance from P to M is 1-(-4)=5 units. This means the other endpoint must be 5 units to the left of M:
x (other endpoint)= - 4 - 5 = - 9
So the other midpoint is located at (-9,-2) (Second option)
Answer:-αx-20=-14 -->
4=
×+5 --> a=-6
7+2ax=13---> a=
Step-by-step explanation:
1. H+S=40
2. 19H+25S=922
From 1,
19H+19S=760
Subtract this from 2 to eliminate H,
19H+25S-19H-19S=922-760
6S=162
Solve for S, then use either equation to solve for H.