We are given the vertices of the triangle with their respective coordinates. For the vertex L, the translated coordinates is also given. So, from the original coordinates of L and the new coordinates, we can get the rule used during translation:(7, -3) -> (7 + a, -3 + b) = (-1, 8)7 + a = -1a = -8
-3 + b = 8b = 11
Therefore, the answer is:(x, y) → (x – 8, y + 11)
Arc length of the quarter circle is 1.57 units.
Solution:
Radius of the quarter circle = 1
Center angle (θ) = 90•
Arc length = 1.57 units
Arc length of the quarter circle is 1.57 units.
13 lbs shared between 3 batches . . .
13/3 = 4 1/3 lbs each
The two whole numbers would be 4 and 5
n, n + 2 - two consecutive even integers
3n = 2(n + 2) + 16 |use distributive property
3n = (2)(n) + (2)(2) + 16
3n = 2n + 4 + 16
3n = 2n + 20 |subtract 2n from both sides
n = 20
n + 2 = 20 + 2 = 22
Answer: 20, 22.
