Answer:
Step-by-step explanation:
First we must find the missing number, for that we apply a simple rule of three:
3. 4
27 ------ x
x = 27 (4) / 3 = 36
Now we just do the sum:
27 + 36 = 63
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
Slope of the line is -3/2
Step-by-step explanation:
- Step 1: Given that (-2, 4) is a point on the line y = mx + 1, find slope m.
Since the point is on the line, the coordinates will satisfy the equation.
⇒ 4 = m × -2 + 1
⇒ 4 = -2m + 1
⇒ 3 = -2m
∴ m = -3/2
