Answer:
0
Step-by-step explanation:|-2 - (-1)| =
|-2 + 1| =
| -1 | =
1.
So, we're one unit away from y = -1. If we're one unit ABOVE y=-1, we need to move the point to be one unit BELOW it instead. And if we're one unit BELOW y = -1, we need to move the point to be one unit ABOVE it.
Since the point has a y-coordinate of -2, its BELOW the line y = -1, by 1 unit. Now we change the y-coordinate so its instead ABOVE y = -1, by 1 unit:
(y-coordinate of reflection line) + (number of units above that line) =
-1 + 1 =
0.
Our new y-coordinate is 0, so the point is now at
(7, 0).
A more mechanical, but less intuitive approach is as follows:
Let L = the y-coordinate of the line, and
P = the y-coordinate of the point.
The new y-coordinate is 2L - P.
In this case, L = -1, and P = -2. So we have
2L - P =
2(-1) - (-2) =
-2 -(-2) =
0.
Line A, because it is the most vertical
Answer:
1 : to put in the same order or rank. 2 : to bring into a common action, movement, or condition : harmonize coordinate schedules She'll be coordinating the relief effort. 3 : to attach so as to form a coordination complex
Answer:
Width = 3y - 3
Step-by-step explanation:
P = 2l + 2w
12x - 4y - 4 = 2(6x - 5y + 1) + 2w
12x - 4y - 4 = (12x - 10y + 2) + 2w
6y - 6 = 2w
w = 3y - 3
Answer:
311.41 degrees
Step-by-step explanation:
If 4 sin Ф = -3 and Ф is between 0 and 360 degrees, then we conclude that Ф must be either in Quadrant III or Quadrant IV (because the sine is negative).
Let's assume we're in Quadrant IV. Then sin Ф = opp / hyp = -3/4; that is, the opp side is negative and has length 3, and the hypo is positive 4.
According to the Pythagorean Theorem, (-3)^2 + x^2 = 4^2, or,
x^2 = 16 - 9 = 7.
Then x is either √7 or -√7.
To find the angle Ф, use the inverse sine function:
Ф = arcsin (-3/4). Using a calculator we get the angle -40.59 degrees, which corresponds to (360 degrees - 40.59 degrees), or 311.41 degrees. We can check this by finding the sine of 311.41 degrees; the result is -0.75, which matches "If 4sintheta = -3."
