Answer:
There are no solutions.
Step-by-step explanation:
First simplify the equation.
<u>6(x - 2)</u> = 8 + 6x
Distribute.
6x - 12 = 8 + 6x
Adding 8 to a number and subtracting 12 from the same number to get the same answer doesn't make sense so there are no solutions.
Answer:
Which number line represents the solution set for the inequality -4(x + 3) S-2 - 2x?
-7 -6 -5 -4 -3 -2 -1 0
1
2
3
4
5
6
7
+ + +
-7 -6 -5 -4 -3 -2 -1 0
+
1
+
2
+
3
0 1 2
Step-by-step explanation:
Answer:
(-11, -6)
Step-by-step explanation:
Find the distance between the midpoint, (-3, -1) and (5, 4). This can be calculated by finding the difference between the x coordinates and y coordinates.
-3 - 5 = -8 (distance between x coordinates)
-1 - 4 = -5 (distance between y coordinates)
Find the point (x, y) by subtracting 8 from the midpoint's x value, and then subtracting 5 from the midpoint's y value.
-3 - 8 = -11
-1 - 5 = -6
So, the point (x, y) is (-11, -6)
If point A is between B and C, then CA+AB = CB by the segment addition postulate. This is the idea of taking two smaller segments to "glue" them together to form a larger segment. Or you can think in reverse: take some larger segment and split it somewhere in between the endpoints (not necessarily the halfway point), this will produce two smaller segments.
For example: you have a ruler that is 12 inches. Take a saw and cut the ruler at the "2 inch" marker. You'll end up with two smaller pieces of plastic: one of which is 2 inches, the other 10 inches. The two smaller pieces can be taped together to reform the original 12 inch ruler.
