Answer:
Here are the two pictures.
Answer: I think it is
Step-by-step explanation:
Answer:
2×2×3×3×5 are the prime factors of 180
Step-by-step explanation:
If you draw a factor tree, you would find that 2x2x3x3x5 are the prime factors of 180
hope this helps :)
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:
Hence first graph is the correct answer.
T I
1 28
2 56
3 84
4 112
Step-by-step explanation:
Given that initial amount P = $400
Simple rate of interest = R = 7% = 0.07
Time t= 1,2,3,4 years.
Then apply Simple interest formula to find the total interest earned in the given years.
I=PRT
for t=1 year
I=PRT=400(0.07)(1)=28
for t=2 year
I=PRT=400(0.07)(2)=56
for t=3 year
I=PRT=400(0.07)(31)=84
for t=4 year
I=PRT=400(0.07)(4)=112
Now we have table as shown below:
T I
1 28
2 56
3 84
4 112
Graphing these points we see that obtained graph best matches with First choice .
Hence first graph is the correct answer.
