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
<h3>
Answer: 1034.44 dollars</h3>
=====================================
Work Shown:
A = P*(1+r/n)^(n*t)
A = 1000*(1+0.0085/1)^(1*4)
A = 1034.43596172007
A = 1034.44
---------------------
Notes:
- P = 1000 is the deposit or principal
- r = 0.0085 is the decimal form of the annual interest rate of 0.85%; we can say 0.85% = 0.85/100 = 0.0085
- n = 1 represents how many times per year we're compounding the money (ie annually)
- t = 4 = number of years
- The result of 1034.44 dollars is only possible if you do not withdraw any of the money in the four year time period.
Answer:
please provide full question......
The Answer:
The axis of symmetry should be x=2
Step-by-step explanation:
The question clearly states x+2 meaning it shouldn't be - 2
Not entirely sure
Answer:
825
Step-by-step explanation:
hope it helps.good day
