9514 1404 393
Answer:
(-4, -13)
Step-by-step explanation:
When the translation (T) is added, the image is formed.
(4, -9) +T = (9, -14)
T = (9, -14) -(4, -9) = (9-4, -14-(-9)) = (5, -5)
The same holds for the second point:
(-9, -8) +T = (-9, -8) +(5, -5) = (-9 +5, -8 -5) = (-4, -13)
The image of the second point under the same translation is (-4, -13).
Answer:
x = 48°
Step-by-step explanation:
42 + 90 + x = 180 (we can tell because it is a straight line and straight lines are supplementary, ie = 180)
Rearrange the equation so that x is on one side:
x = 180 - 90 - 42
Simplify
x = 48°
Answer:
The difference in meaning is that
-3 is a signed value. It lies to the left of zero
+3 is also a signed value, and since it is positive, it lies to the right of zero
|-3| is just the physical distance (left or right) of -3 from zero. Since we live in a physical world, all distances are positive, so its signed value is 3.
Since +3 is also 3 units from zero, |+3| = 3
|-3| = |+3| = 3 since both are three units away from zero.
So, when using absolute values as numbers, rather than distances,
|x| = x if x is not negative
|x| = -x if x is negative
Answer:
First box: 180 degrees
Second box: 1 unit down
Step-by-step explanation:
After it is rotated, you will have to move it 1 unit down again.
