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: The sum =14
Step-by-step explanation:
Given that n=2
And
sum = cube of a number, n, and 16 which can be expressed mathematically as
n^3 + 6
2^3 + 6
8 + 6= 14
Answer:
12345
Step-by-step explanation:
Answer:
15 oz
Step-by-step explanation:
425/28.3 = 15.02 oz or 15 oz
