Answer:
(6, -3)
Step-by-step explanation:
The actual coordinates are x = -6 and y = 3
If we rotate 180 degrees and the center of rotation is at (0,0), all we need to do is invert the signal of each axis, that is, we invert the sign of the original x-coordinate and invert the signal of the original y-coordinate.
So the final x-coordinate is - (-6) = 6
And the final y-coordinate is - (3) = -3
So the coordinates will be (6, -3).
Answer:
x is in the range [-1,4]
Step-by-step explanation:
I haven't worked with absolute value inequalities in awhile, but let's take a wack at this.
We are given the following inequality:
| 2x - 3 | <= 5
This implies two possible cases:
[1] -5 <= 2x -3
Or
[2] 2x - 3 <= 5
So let's solve x for both of these cases:
[1] -5 <= 2x - 3
-2 <= 2x
-1 <= x
[2] 2x - 3 <= 5
2x <= 8
x <= 4
So from these cases, we can say the following is true:
x >= -1 and x <= 4
Thus, we can write this in the form
-1 <= x <= 4
Or in interval notation:
{ x is element of reals | -1 <= x <= 4}
Also written as
x is in the range [-1,4]
Where the closed brackets represent 1 and 4 as possible answers whereas parenthesis would imply they were not.
Cheers.
Answer:
4x + x + 7) - 2x+8 - 4 by substituting x= 1 and x = 2. А. 6x + 11 B. 3(x+7) C. 2(3x + 16) D. 3x + 16
Step-by-step explanation:
Hey there!
When we solve for x, we need to isolate x on one side.
This is just a one-step equation, meaning there is only one thing we need to do to solve for x, or isolate x.
Starting with 87 + x = 100:
Subtract 87 from each side.
87 <u>- 87</u> + x = 100 <u>- 87</u>
Simplify. Subtracting 87 from 87 makes it equal to 0.
x = 13
Your answer is A. 13.
Hope this helps!
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