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
Simple interest, I = 101.40
Time, t = 6 years
interest, i = 1.3%
Interest, I=Pit, rearrange
Principal, P=I/(it)=101.40/(6*0.013)=1300
Answer:
IM preeetty sure the answer is x=4 and y=26 so the solution would be (4,26)
Step-by-step explanation:
hope this helps!!! <333
Answer:
$14.80
Step-by-step explanation:
I'm assuming you meant to put 3.20 since $320 a mile would be ridiculous.
C(n)=2.00+3.20n
If n = 4 miles we have:
C(4)=2+3.20(4)
C(4)=2+12.80
C(4)=14.80
So the cost of the taxi is $14.80.
