Answer: 2/3 (two thirds)
Explanation: Divide both denominator and numerator by the common factor of fourteen
Answer:
10) - 45 degrees
12) 0 degrees
Step-by-step explanation:
10)
Find the x and y components that define the vector that joins C with D:
x-component: -4 - (-8) = - 4 + 8 = 4
y-component: 4 - 8 = -4
use the tangent function to find the angle
:

12)
Find the x and y components that define the vector that joins A with B:
x-component: 7 - 4 = 3
y-component: - 1 - (-1) = -1 + 1 = 0
use the tangent function to find the angle
:

A. 4x - 3 = 2x + 7
4x - 2x = 7 + 3
2x = 10
x = 5
B. 2x + 6 = 7x - 14
2x - 7x = - 14 - 6
-5x = -20
x = 4
C. 2( x + 3) = x - 4
2x + 6 = x - 4
2x - x = -4 - 6
x = -10
D.4 ( 5x - 2) = 2( 9x + 3)
20x - 8 = 18x + 6
20x - 18x = 6 + 8
2x = 14
x = 7
E.4x - 1/2 = x - 7
4x - x = -7 + 1/2
3x = (-14 + 1)/2
3x = -13/2
x = -13/6
F. 3x + 2 = 2x + 13/3
3x - 2x = 13/3 - 2
x = (13 - 6)/3
x = 7/3
Hope This Helps You!
Recall that the slope is the "average rate of change" of any function.

Answer:
B' (5,1)
C' (3,2)
A' (3,0)
Step-by-step explanation: