Answer:
Step-by-step explanation:
3a + 2 = -2n + 3p
3a = -2n + 3p - 2
a = (-2n+3p-2)/3
a = -2/3(n) + p - 2/3
Answer:
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Step-by-step explanation:
as you already know, we start off by doing a quick switcheroo on the variables, and then we solve for y to get the inverse,

and if you run a vertical line test on that expression, you'll find that it doesn't pass it, meaning is not a function.
Answer:
y =
x + 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 2x + 2 ← is in slope- intercept form
with slope m = - 2
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= 
The line crosses the y- axis at (0, 1) ⇒ c = 1 , then
y =
x + 1 ← equation of perpendicular line
Answer:
- Q6. x = 17
- Q8. Yes, parallel
- Q9. No, not parallel
Step-by-step explanation:
Q6. Solve for x
<u>Use ratios of similar sides</u>
- 28/(82 - 28) = (2x + 8)/(5x - 4)
- 28/54 = (2x + 8)/(5x - 4)
- 14/27 = (2x + 8)/(5x - 4)
- 14(5x - 4) = 27(2x + 8)
- 70x - 56 = 54x + 216
- 70x - 54x = 56 + 216
- 16x = 272
- x = 272/16
- x = 17
Q8
If ratios are same, the lines are parallel
- 41.8/33 = (102 - 45)/45
- 41.8/33 = 57/45
- 41.8*45 = 33*57
- 1881 = 1881
Yes, lines are parallel
Q9
Incorrect, lines are not parallel