Answer:
Parallel: y = -5x - 34 ; Perpendicular: y = 1/5x - 14/5
Step-by-step explanation:
Lines that are parallel have the same slope. Lines that are perpendicular have opposite reciprocal slopes. (Ex. 1/3 ⇒ -3)
We need to substitute the given values into the point-slope form equation.
Parallel:
y + 4 = -5(x + 6)
y + 4 = -5x - 30
y = -5x - 34
Perpendicular:
y + 4 = 1/5(x + 6)
y + 4 = 1/5x + 6/5
y = 1/5x - 14/5
We have 4 people in our home
so total bought 360 pounds of hamburger
each ate 2/3 pound every day
so 360-(amount eaten per day) times (number of days)=0 (0 because we want it to be gone)
number of days=x unknown
amount eaten per day=(number of people) times (amount eaten per person per day)
amount eaten per day=4 times 2/3 lb=8/3
360-8/3 times x=0
360-8/3x=0
add 8/3x to both sides
360=8/3x
multiply both sides by 3/8
1080/8=x
135=x
it would take 135 days or about 4 months or 1/3 year, assuming that my family doesn't get tired of it and that my reletives don't visit and take a whole bunch to bring home.
4 people takes 135 days
Answer:
61
Step-by-step explanation:
The probability that the dealership will wait at least 6 months until the next claim is solved by:We know that the mean number of occurrences per time unit is 0.1, then let’s denote this by λ
So: f (x) = 1 – e ^ -λx for x > 0
P (x > 6) = e^ -x
= e ^-0.1 * 6
= 0.5488
