Answer:
Step-by-step explanation:
- Let the speed of the boat be x
- Speed against the current in the river is x - 2
<u>Time in the river:</u>
<u>Time in the lake:</u>
<u>The difference:</u>
Solve for x to find the speed of the boat
<u>Multiply both sides by x(x - 2) to clear the fraction:</u>
- 6x = 15(x - 2) - x(x - 2)
- 6x = 15x - 30 - x² + 2x
- x² - 11x + 30 = 0
- (x - 5)(x - 6) =0
- x -5 = 0, x - 6 = 0
- x = 5 km/h, x = 6 km/h
Answer:
A. 322 mm^2
Step-by-step explanation:
First split the shape into two (a rectangle and a triangle).
Then calculate the area of those shapes.
Rectangle: 20 x 14 = 280 mm^2
Triangle: 6 x 14 / 2 = 42 mm^2
Add them together.
280 + 42 = 322 mm^2
Answer:
y=3x goes with m=3, b=0
y=7 goes with m=0, b=7
y=-3x+4 goes with m=-3, b=4
y=1.5x-7 goes with m=1.5, b=-7
y=-1.5x-4 goes with m=-1.5, b=-4
Step-by-step explanation:
The b represents the y- intercept in a graph (where the line crosses the y axis). The m represents the slope of the line. You can find the slope by taking the rise of the graph and dividing it by the run (rise/run). If you get the numbers in the equation form y=mx+b, then you just take the information they give you out of the equation.
Answer:
C
Step-by-step explanation: