Answer:
Step-by-step explanation:
Slope of the line segment = [(-8)-(-2)]/[(-9)-3]=-6/-12=1/2
Slope of the perpendicular bisector x slope of line segment = -1
Slope of perpendicular bisector = -2
Mid-point of line segment = ((-9+3)/2, (-8+(-2))/2) = (-3, -5)
The perpendicular bisector passes through the mid-point.
By point-slope form,
After 2 hrs, the car has traveled 90 miles....that means the car travels 90/2 = 45 miles per hr. After 7 hrs...the car has traveled 7 * 45 = 315 miles
Using Substitute method:
Replace y value of equation 2 into equation 1:
4x + (x+6) = 1
Solve for x:
4x + x + 6 = 1
5x = 1 - 6
5x = -5
x = -5/5
x = -1
Pick any of the two equation, replace x with it's value -1 and solve for y:
y = (-1) + 6
y = -1 + 6
y = 5
Solution: (-1, 5)
The answer is the third one
-the hours are unknown so its 6+4h
the total is 130 and she earns an extra 20 dollars so
(6+4)h+20=130
