Answer:
m = 1/3
Step-by-step explanation:
Answer: C
<u>Step-by-step explanation:</u>
The general form of the equation is: g(x) = a|x - h| + k ;
- "a" represents the vertical stretch <em>(or shrink)</em>
- "h" represents the x-coordinate of the vertex (left and right)
- "k" represents the y-coordinate of the vertex (up and down)
4 units left means h = 4
2 units up means k = 2
--> g(x) = |x - 4| + 2
1) Parallel lines have equal slopes.
We need to find the slope of the given line by solving for y.
5x - 15y = 30
-15y = -5x + 30
y = (1/3)x - 2
The slope of the given line is 1/3, so the slope of the parallel line is also 1/3.
2) Line 1 has slope 2/3.
Line 2 has slope 2/3.
3) Line 1 is a vertical line through x = 2. Line 2 is a horizontal line through y = -5. The lines are perpendicular.
4) The given line can is solved for y, so we can see its slope is -5/2. The slopes of perpendicular lines are negative reciprocals. The perpendicular line has slope 2/5. We have point (5, 0) which is (x1, y1) in the slope-point formula.
y - 0 = (2/5)(x - 5)
y = 2/5 x - 2
5) The given equation has slope -3. To find the negative reciprocal, write the slope as a fraction, flip it, and change the sign.
Slope of perpendicular line is 1/3.
Answer:
49.29
Step-by-step explanation:
16.43x3=49.29
