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.
slope, rate of change is.
use this formula, to find right of change we can.
input two pairs of coordinates, we must.
use 0, 1 and 5, 4, we will.
4 - 1 / 5 - 0
3 / 5
3/5, the slope is.
hmm.
convert 3/5 to decimal, we must.
multiply both sides by 2, we can.
3 * 2 = 6
5 * 2 = 10
6/10, our new fraction is.
convert to decimal, we must.
6/10 = 0.6
0.6, our slope is.
Answer: d is 53 degrees, c is 5, g is 13, e is 90 degrees, f is 37 degrees, b is 12 .
Step-by-step explanation:
Since they're congruent you just compare the two and replace them. You have the answers on both sides, they're just split up. So look at one side, then the other, and see what you can find. Repeat.
Answer: 52
Explanation:
You need to replace the x-values with 8 to solve this. So, the equation would look like this. f(8)= 7 x 8 - 5
7 times 8 is 56. 56 minus four is 52 which is your answer.
If you needed to graph this then it would look like this... (8, 52)
The 8 is in the input because it is the x-value (we replace x with 8) and 52 is output/range/y-value because it is the answer.
Answer:
255
Step-by-step explanation:
12x^(2) + 39x + 30
x = 3
Substitute in"3" for "x" and solve;
12(3)^(2) + 39(3) + 30
= 12 * 9 + 117 + 30
= 108 + 117 + 30
= 255
