Answer:
The equation for the parallel line is: y = -4x - 20
The equation for the perpendicular line is: y = 1/4x + 11/2
Step-by-step explanation:
The given point is: (-6, 4)
The given equation is:
y = -4x + 8, note the slope m = -4.
A parallel line has the same slope. Use the point slope and substitute:
y - y1 = m(x - x1)
y - 4 = -4(x - (-6))
y - 4 = -4(x + 6)
y - 4 = -4x - 24
y = -4x - 20
Proof - find f(x) when x = -6:
f(x) = -4x - 20
f(-6) = -4(-6) - 20
f(-6) = 24 - 20 = 4, so the point is (-6, 4)
A perpendicular line has a slope that is negative and inverted so m = 1/4.
y - y1 = m(x - x1)
y - 4 = 1/4(x - (-6))
y - 4 = 1/4(x + 6)
y - 4 = 1/4x + 6/4
y - 4 = 1/4x + 3/2
y = 1/4x + 3/2 + 4
y = 1/4x + 3/2 + 8/2
y = 1/4x + 11/2
Proof - find f(x) when x = -6:
f(x) = 1/4x + 11/2
f(-6) = 1/4(-6) + 11/2
= -6/4 + 11/2
= -3/2 + 11/2
= 8/2 = 4, giving the point (-6, 4)
Answer:
Step-by-step explanation:
Here u go
The product is C. -20. Good luck!
Answer: it will take 4 games for both costs to be the same.
Step-by-step explanation:
Let x represent the number of games that must be bowled before the costs become the same.
At Paul's bowling alley,it costs 4.00 to rents shoes and 3.50 to bowl each game. This means that the cost of bowling x games at Paul's bowling alley would be
3.5x + 4
At Maggie's bowling alley, it costs 3 to rent shoes and 3.75 to bowl each game. This means that the cost of bowling x games at Maggie's bowling alley would be
3.75x + 3
Therefore, for the costs to be the same, the number of games would be
3.5x + 4 = 3.75x + 3
3.75x - 3.5x = 4 - 3
0.25x = 1
x = 1/0.25 = 4
This is after graphing the equation.
