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:
3x
Step-by-step explanation:
givens: x=4
now try your options:
3(4)+3=15
12+3=15
15=15
The first option is correct, therefore the answer is 3x
Answer: D) Length: 60, Width: 30
Step-by-step explanation:
The totals of the length plus two widths of the other dimensions given do not add up to 120 feet.
Answer:
Step-by-step explanation:
Given
Required
Eliminate a
Multiply the first equation by -4
Add to the second equation
Solve brackets
Open bracket
At this point, a has been eliminated;
From the list of given options, the option that answers the question is
