Answer:
<h2>Step-by-step explanation:
-5(m - 3) + 6 = 2(m - 5)
<u>Expand the terms in the bracket</u>
That's
- 5m + 15 + 6 = 2m - 10
- 5m + 21 = 2m - 10
<u>Subtract 2m from both sides</u>
- 5m - 2m + 21 = 2m - 2m - 10
- 7m + 21 = - 10
<u>Subtract 21 from both sides</u>
That's
- 7m + 21 - 21 = - 10 - 31
- 7m = - 31
<u>Divide both sides by - 7</u>
We have the final answer as
<h3>Hope this helps you
Answer:
Step-by-step explanation:
The equation of a periodic function is in the form:
y = Asin(Bx + C) + D
Where A = amplitude, B = 2π / period, D = vertical shift, phase shift = -C / B.
Given that:
amplitude: 4, period 4 phase shift = vertical shift = -2
Hence:
A = amplitude = 4, B = 2π / period = 2π / 4 = π / 2, D = vertical shift = -2.
Phase shift = -C / B
C = -phase shift * B = - * -2 * π / 2 = π.
Therefore substituting gives:
Answer:
Step-by-step explanation:
If a point (x, y) lies on a straight line, coordinates of the point will satisfy the equation.
Slope of a line passing through two points C(4, 5) and D(8, 10),
m =
m =
m =
Equation of the line passing through C(4, 5) and slope m =
y - y' = m(x - x')
y - 5 =
y =
y =
If point B(4, 0) lies on the line CD,
0 =
0 = 5
Which is not true.
Therefore, point B doesn't lie on line CD.