Answer:
Step-by-step explanation:
Start by finding the slope of the given line.
Slope of given line
A perpendicular bisector cuts through the line at its midpoint perpendicularly.
The product of the slopes of two perpendicular lines is -1.
Let the slope of the perpendicular bisector be m.
, where c is the y-intercept.
To find the value of c, we need to substitute a pair of coordinates that lies on the perpendicular bisector into the equation. Since the perpendicular bisector passes through the midpoint of the given line, we can use the midpoint formula to find the coordinates.
Midpoint of given line
= (0, 2)
When x= 0, y= 2,
2= ⅔(0) +c
2= 0 +c
c= 2
Thus, the equation of the perpendicular bisector is .
Answer:
$110
Step-by-step explanation:
The computation is shown below:
Provided that
Number of desk purchased Fund Left $
0 700
1 590
2 480
3 370
4 260
5 150
6 40
Now the Fund decreased while purchasing is
= 5 desks - 2 desks
= 3 desks
i.e
= $480 - $150
= $330
Now the amount of money left for decreased the desk fund is
= $110
Answer:
172.
Step-by-step explanation:
115, 165, 138, 172, 127, 193, 142
The median is the middle number, which is 172.
Uneven amount? Here’s a trick, 7 + 1 = 8 / 2 = 4, so the fourth number is the median.
Answer: the monthly payment is $1530.1
Step-by-step explanation:
The cost of the house is $319,000.
The down payment made is 20%. This means that the amount paid as down payment is
20/100 × 319000 = 63800
The balance to be paid would be
319000 - 63800 = $255200
We would apply the periodic interest rate formula which is expressed as
P = a/{[(1+r)^n]-1}/[r(1+r)^n]
Where
P represents the monthly payments.
a represents the amount of the loan
r represents the annual rate.
n represents number of monthly payments. Therefore
a = $255200
r = 0.06/12 = 0.005
n = 12 × 30 = 360
Therefore,
P = 255200/{6.0226 -1}/[0.005(6.0226)]
P = 255200/166.79
P = 1530.1
Answer:should be A
Step-by-step explanation:abcdefg HIJ klmnopqrstuvwxyz
h comes before I and I comes before j
