Okay to find the perpendicular bisector of a segment you first need to find the slope of the reference segment.
m=(y2-y1)/(x2-x1) in this case:
m=(-5-1)/(2-4)
m=-6/-2
m=3
Now for the the bisector line to be perpendicular its slope must be the negative reciprocal of the reference segment, mathematically:
m1*m2=-1 in this case:
3m=-1
m=-1/3
So now we know that the slope is -1/3 we need to find the midpoint of the line segment that we are bisecting. The midpoint is simply the average of the coordinates of the endpoints, mathematically:
mp=((x1+x2)/2, (y1+y2)/2), in this case:
mp=((4+2)/2, (1-5)/2)
mp=(6/2, -4/2)
mp=(3,-2)
So our bisector must pass through the midpoint, or (3,-2) and have a slope of -1/3 so we can say:
y=mx+b, where m=slope and b=y-intercept, and given what we know:
-2=(-1/3)3+b
-2=-3/3+b
-2=-1+b
-1=b
So now we have the complete equation of the perpendicular bisector...
y=-x/3-1 or more neatly in my opinion :P
y=(-x-3)/3
Answer:
1/2.(x+12)=4x-1
x+12=2(4x-1)
x+12=8x-2
Group like terms
12+2=8x-x
14=7x
Divide both sides by 7
x=2
Step-by-step explanation:

First see what 4 could go by and the answer closest to 18 that is not more than the answer is the first number of the answer.
4×1=4
4×2=8
4×3=12
4×4=16
In this case 4 is the first number of the answer because if you fo 4 by 5 it equals 20 , which is more than the answer
4×5=20
after that , you subtract the answer, 18 minus 16 which is 2 because nothing times 4 equals 2
So the remainder is 2/4 or .50
If you have any questions about this please don't hesitate to ask me
<u>Answer:</u>
Liam will use 3.5 gallons of paint to paint his living room
<u>Solution:</u>
Given that Liam has
gallons of paint.
He uses
of paint to paint his living room
We need to find how many gallons of paint will Liam use
The gallons of paint Liam used can be found as follows:
Amount of paint Liam has =
gallons
Converting mixed fraction
to decimal we get 8.75
Amount of paint used = 2/5th of available amount

Hence Liam will use 3.5 gallons of paint to paint his living room