Answer:
A'(0, -8), B'(6, 0), C'(0, 8), D'(-6, 0)
Step-by-step explanation:
Whenever you are doing a 90° clockwise rotation ABOUT THE ORIGIN, it is in the form of [<em>y</em><em>,</em><em> </em><em>-</em><em>x</em>], meaning you take the <em>y</em><em> </em>and make it your <em>x</em><em>,</em><em> </em>then take your original <em>x</em><em> </em>and put its OPPOSITE.
90° counterclockwise rotation → [<em>-</em><em>y</em><em>,</em><em> </em><em>x</em>]
90° clockwise rotation → [<em>y, -x</em>]
I hope this helps, and as always, I am joyous to assist anyone at any time.
Answer:
Length of rectangle = 15 feet
Width of rectangle = 6 feet
Step-by-step explanation:
Given:
Perimeter of rectangle = 42 ft
Length of rectangle = 2[Width of rectangle] + 3
Find:
Value of length and width
Assume:
Width of rectangle = w
SO,
Length of rectangle = 2[w] + 3
Perimeter of rectangle = 2[l + b]
42 = 2[2w + 3 + w]
2[3w + 3] = 42
6w + 6 = 42
6w = 42 - 6
6w = 36
w = 36 / 6
w = 6
So,
Width of rectangle = 6 feet
Length of rectangle = 2[w] + 3
Length of rectangle = 2[6] + 3
Length of rectangle = 12 + 3
Length of rectangle = 15 feet
Answer:
-45
Step-by-step explanation:
15-3(2+-18)
15-3(-16)
3-(-48)
-45
Answer:
12 and - 12 is the correct answer
- 3 x = 36
x = -12
again
3x = 36
x = 12
if the diameter is 26 yards, then its radius is half that, or 13 yards.
![\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=13 \end{cases}\implies C=2\pi (13)\implies C=26\pi \implies C\approx 81.68 \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=13 \end{cases}\implies A=\pi (13)^2\implies A=169\pi \implies A\approx 530.93](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bcircumference%20of%20a%20circle%7D%5C%5C%5C%5C%20C%3D2%5Cpi%20r~~%20%5Cbegin%7Bcases%7D%20r%3Dradius%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20r%3D13%20%5Cend%7Bcases%7D%5Cimplies%20C%3D2%5Cpi%20%2813%29%5Cimplies%20C%3D26%5Cpi%20%5Cimplies%20C%5Capprox%2081.68%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ctextit%7Barea%20of%20a%20circle%7D%5C%5C%5C%5C%20A%3D%5Cpi%20r%5E2~~%20%5Cbegin%7Bcases%7D%20r%3Dradius%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20r%3D13%20%5Cend%7Bcases%7D%5Cimplies%20A%3D%5Cpi%20%2813%29%5E2%5Cimplies%20A%3D169%5Cpi%20%5Cimplies%20A%5Capprox%20530.93)