Answer: The only correct answer is 8/18. See below
Step-by-step explanation:
All you need to do is divide the denominator of 9 into the denominator of each fraction, and multiply the numerator by the same factor like this:
4/9 = ?/36; 36/9 = 4; 4x4 =16, so we know that 4/9=16/36 NOT 20/36
4/9 = ?/18; 18/9 =2; 2x4 =8, so we know that 5/9 = 8/18 so YES.
4/9 = ?/45; 45/9=5; 5x4 = 20, so we know that 5/9 = 20/45 NOT 24/45
5/9 = ?/27; 27/9 =3; 3x5 = 15, so we know that 5/9 = 15/27 NOT 12/27
Answer:
A' is (1,1) B is (4,1) C is (1,-1)
Step-by-step explanation:
Since we rotating the figure about point a, we know a is the center of the rotation meaning no matter how far we rotate point a new image will stay on where point a pre image was which in this case is (1,1). Also since we know the rules of rotating a angle 90 degrees About the origin we are going to translate the figure to have the one point we are rotating about at the orgin. Since translations are a rigid transformations, the figure will stay the same A. Move the figure 1 to the left and 1 down so A becomes 0,0 B becomes 0,3 and C becomes 2,0. Then apply the rules of 90 degree clockwise rotation rules. (x,y) goes to (y,-x) . A stays (0,0) B becomes (3,0) and C becomes (0,-2). Then translate the figure 1 to the right and 1 down since we rotating about point a which is 1,1 and it at 0,0 rn. A' is 1,1. B' becomes (4,1). C' becomes (1,-1).
Answer:
-9,-21
Step-by-step explanation:
let the numbers be x and y and x>y
x-y=12
y=2x-3
x-(2x-3)=12
x-2x+3=12
-x=12-3
-x=9
x=-9
y=2(-9)-3=-18-3=-21
1, -4, 16, -64, 256, -1024, 4096
answer: 4096
