Answer:
Step-by-step explanation:
6) Slope = 5
(5 , 40) ; m =5
y - y1 = m(x -x1)
y - 40 = 5 (x - 5)
y -40 = 5x - 25
y = 5x - 25 + 40
y = 5x + 15
7) slope = 2
m =2 ; (-2 , 0)
y - y1 = m(x -x1)
y - 0 = 2(x -[-2])
y = 2(x +2)
y = 2x +4
8) D) It takes 6 miles to travel a mile
<span>Rate of pump A: 1/8 of a pool per hour
Rate of pump B: 1/9 of a pool per hour
Combined rate: 1/8+1/9 = 17/72 +1/9 = 25/72
So if they work together, the two pumps have a combined rate of 25/72 of a pool per hour (i.e in one hour, the two pumps will empty 25/72 of the pool)
</span><span>But we want to empty ONE pool (not 25/72 of one). So we need to multiply 25/72 by some number x to get 1.
</span>
<span>Now solve for x
x=2.88
</span><span>It will take the two pumps 2.88 hours to empty the pool.
2 hours 52 minutes 50 seconds</span>
X-intercept would be (-5,0)
and the y-intercept would be (0,-5)