Answer:
57 mph
Step-by-step explanation:
Let b represent Bob's speed on the trip. Then his time is ...
time = distance/speed
Bob's time = 230/b
Then John's speed is b+8, and his time is ...
John's time = 230/(b+8)
The difference of their times is 1/2 hour:
Bob's time - John's time = 1/2
230/b -230/(b+8) = 1/2 . . . substitute the expressions for time
460(b+8 -b) = b(b+8) . . . . . multiply by 2b(b+8)
b^2 +8b -3680 = 0 . . . . . . .put in standard form
(b +4)^2 -3696 = 0 . . . . . . . add 16-16 to complete the square
b = -4 +√3696 ≈ 56.795 . . . solve for positive b
Bob's drove about 57 mph on the trip.
The slope intercept form is
y=ax+b
So
11x-2y=-6 /+2y
11x=2y-6 /+6 both sides
11x+6=2y (changing sides)
2y=11x+6 /:2 divide by 2 both sides
y=
- its the result
Answer:
B Is the correct answer
Step-by-step explanation:
Answer:
77 cm²
Step-by-step explanation:
The figure can be decomposed into two rectangles.
✔️Area of rectangle 1:
Area of rectangle 1 = length * width
length = 3.5 cm
width = 8 cm
Area of rectangle 1 = 3.5*8 = 28 cm²
✔️Area of rectangle 2:
Area of rectangle 2 = length * width
length = 14 cm
width = 3.5 cm
Area of rectangle 2 = 14*3.5= 49 cm²
✔️Area of the figure = 28 + 49 = 77 cm²
Should be the last one, 43, 52, 61.
