Answer:
(3.8, 6.8)
Step-by-step explanation:
Point B:
Has coordinates (x,y)
AB and BC form a 2:3 ratio.
This means that:
We apply this both for the x-coordinate and for the y-coordinate.
x-coordinate:
x-coordinate of A: 3
x-coordinate of C: 5
x-coordinate of B: x
y-coordinate:
y-coordinate of A: 4
y-coordinate of C: 11
y-coordinate of B: y
Thus the correct answer is:
(3.8, 6.8)
Substitute -3 into the equation
y = 2|x| + 3
y = 2 (3) + 3
y = 6 + 3
y = 9
Answer D
Multiply both sides by 7. w=<span>105</span>
Answer:
(6, -9)
Step-by-step explanation:
Our system of linear equations is:
6x + 2y = 18
-4x - 2y = -6
When we solve by elimination, we're essentially "eliminating" a variable so that we can solve for other more easily. Here, let's eliminate the y variable by adding the two equations together:
6x + 2y = 18
+ -4x - 2y = -6
____________
2x + 0y = 12
x = 12/2 = 6
Plug this back into one of the original equations to find y:
-4x - 2y = -6
-4 * 6 - 2y = -6
-24 - 2y = -6
-2y = 18
y = -9
The solution is (6, -9).
