equation for the perpendicular Bisector of the line segment whose endpoints are (-9,-8) and (7,-4)
Perpendicular bisector lies at the midpoint of a line
Lets find mid point of (-9,-8) and (7,-4)
midpoint formula is


midpoint is (-1, -6)
Now find the slope of the given line
(-9,-8) and (7,-4)


Slope of perpendicular line is negative reciprocal of slope of given line
So slope of perpendicular line is -4
slope = -4 and midpoint is (-1,-6)
y - y1 = m(x-x1)
y - (-6) = -4(x-(-1))
y + 6 = -4(x+1)
y + 6 = -4x -4
Subtract 6 on both sides
y = -4x -4-6
y= -4x -10
equation for the perpendicular Bisector y = -4x - 10
Answer:
60
Step-by-step explanation:
First, 3÷20 which equals .15. after do .15×400 to get to 60 students
63%
First, we have to take 20.00 - 7.40 which gets us 12.60.
Then, we use the formula where we put the 12.60 on top of a fraction bar, and the 20.00 on bottom.
We do 12.60 x 100 which makes 1260.
Lastly, we divide that by the 20.00 which gets us 63.
So, Julie has 63% of her money left.
I hope this helped!!!
Answer:
$8.5 per hour
Step-by-step explanation:
Number of overtime hours = 4 hours
Since overtime starts after 40 hours, then the number of hours worked = 40 + 4 = 44 hours
Total amount earned = $391
Let Hourly pay = x
Overtime pay = 1 1/2x = 3/2x
Therefore ;
40x + (4*3/2x) = 391
40x + 6x = 391
46x = 391
x = 391 / 46
x = 8.5
Hourly pay = $8.5 per hour
Alright, so the unknown value here we want to know is the price of one roll of TP. Let's call it "x".
36x=14.99
Divide both sides by 36 to get the price of a single roll.
x=.41638888....
We have to round this to hundredths because we're talking in cents, so...
x=.42
Each roll of toilet paper costs 42 cents.