8x+15 = 2x+39
8x =2x+24
6x = 24
x = 24/6 = 4
angle 4 = 2(4) +39 = 8+39 = 47
angle 6 = angle 4
angle 6 = 47 degrees
Answer:
1 1/5
Step-by-step explanation:
2/5 x 3 as a Fraction = 1 1/5
Improper Fraction = 6/5
Mixed Number = 1 1/5
Answer:

Step-by-step explanation:
Perpendicular lines will have slopes that are the multiplicative additive inverse of each other: a line with slope 3/4 is perpendicular to a line with slope -4/3, for example. You need a line that is perpendicular to a line with slope -2 (reading that from the -2 in the -2x portion of the given equation, which is written in slope-intercept form), so your new line must have slope +1/2.
With the slope and a point, we can come up with an equation using this formula:
y - y-coordinate = slope (x - x-coordinate)
So we have y - (-2) = 1/2 (x - 4).
Simplify the equation: y + 2 = 1/2 x - 2
Subtract 2 from both sides: y + 2 - 2 = 1/2 x - 2 - 2
Simplify: y = 1/2 x - 4.
Answer:
period = 2
Step-by-step explanation:
The period is the measure of 1 complete cycle of the wave
The wave enters at x = 0 , y = - 0.5
After 1 cycle the wave is at x = 2, y = - 0.5
period = 2 - 0 = 2