Answer:
y = 5x + 11
Step-by-step explanation:
- first rearrange -5x + y = 2 and you'll have y = 5x + 2
- the slopes of parallel lines are equal so the slope of the line is 5
so far we have y = 5x + b
- to get b, replace the values in the equation by the values of the given point
(1) = 5(-2) + b
- rearrange and calculate, b = 11
y = 5x + 11
To fill:
6 hours = 1 tank
1 hour = 1/6 tank
To drain:
It takes 4 times as long, therefore 4 x 6 = 24
24 hours = 1 tank
1hour = 1/24 tank
If both pipes are open
1 hour = 1/6 - 1/24 = 1/8 tank
1/8 tank = 1 hour
8/8 tank = 1 x 8 hour
1full tank = 8 hours
Answer:
-12
Step-by-step explanation:
-3 + -9 = 12
hope this helps
Answer:
63.4°
Step-by-step explanation:
Given that AB and BC are the legs of the right triangle, then opposite to angle A is side BC and adjacent to angle A is side AB.
By definition, the tangent of angle A is:
tan(∠A) = opposite leg / adjacent leg
tan(∠A) = BC/AB
tan(∠A) = 12/6
∠A = arctan(2)
∠A = 63.4°