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:
t(n)= -4n+11
Step-by-step explanation:
t(0)=11
t(1)=7
t(2)=3
-4 each time
Remark
This is like using the distributive principle only you are going backwards. Instead of trying to remove brackets, you are trying to create them.
Solution
Since you want to take - 6 outside the brackets you should divide both terms by - 6
<em><u>- 18a</u></em>: - 18a/- 6 = 3a which is left inside the brackets.
<em><u>-30:</u></em> - 30/-6 = 5
- 6(3a + 5)
Answer
-6(3a + 5)
Answer: x=-3
Step-by-step explanation:
Answer:
<em><u>Histograms are used to represent a frequency distribution, and bar graph show a comparison between data/variables. Histograms display quantitative data with ranges of the data grouped into bins, whereas bar graphs show categorical data.</u></em>
Step-by-step explanation:
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