Since perpendicular lines have their slopes as negative reciprocals, the negative reciprocal of the given slope (3) is -1/3. Therefore the a value is -1/3.
Answer:
Step-by-step explanation:
A ' = (-2, -3)
B ' = (0, -3)
C ' = (-1, 1)
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Explanation:
To apply an x axis reflection, we simply change the sign of the y coordinate from positive to negative, or vice versa. The x coordinate stays as is.
Algebraically, the reflection rule used can be written as
Applying this rule to the three given points will mean....
Point A = (-2, 3) becomes A ' = (-2, -3)
Point B = (0, 3) becomes B ' = (0, -3)
Point C = (-1, -1) becomes C ' = (-1, 1)
The diagram is provided below.
Side note: Any points on the x axis will stay where they are. That isn't the case here, but its for any future problem where it may come up. This only applies to x axis reflections.
Answer:
y = 4x - 2
Step-by-step explanation:
Given: 4x=2+y
First, subtract 2 on both sides to isolate out y. (Slope-intercept form is y=mx+b)
Once subtracted, you get: 4x-2=y
Rearrange it, and you get: y=4x-2
a) (0.17 ac)×(126 min/ac) = 21.42 min
b) I can mow 1/126 ac/min; you can mow 1/117 ac/min. Together, we can mow at a rate that is the sum of these:
... (1/126 + 1/117) ac/min = (117 + 126)/(126×117) = 243/14,742 ac/min
Then it will take 14,742/243 min/ac × 0.17 ac/lawn ≈ 10.31 min/lawn
Answer:
All real numbers except 3
Step-by-step explanation:
Given
Required
Determine the domain
We start by writing the following inequality
Add 6 to both sides
Divide both sides by 2
<em>As such, the domain of x is all real numbers except 3</em>
