Answer: x =2
Step-by-step explanation:
5x - 8 = 3x - 4
2x = 4
x = 2
checking the work:
5(2) - 8 = 3(2) - 4
10 - 8 = 6 - 4
2 = 2
You can use the distance formula.
The distance formula says the distance between two given points (x1, y1) and (x2, y2)
=

Your given points are (8, -1) and (-2, -1).
The distance will be

.
But you could have recognized that both points have the same y-coordinate of -1, which means change in distance is determined by change in x-coordinates only.
Change in x-coordinates is |-8 - 2| = 10. There is absolute value because distance cannot be negative.
ANSWER

EXPLANATION
We want to solve the trigonometric equation

We group like terms to obtain,

Divide both sides of the equation by 3 to get,

We can reciprocate both sides to get,

We simplify the right hand side to get,

Since the tangent ratio is negative, it implies that it is either in the second quadrant or fourth quadrant.
In the second quadrant,


In the fourth quadrant,


Answer:
x = 3/2 v - 3 (or x = 3v/2 - 3)
Step-by-step explanation:
v = 2/3 x + 2
v - 2 = 2/3 x
3/2 v - 3 = x