On three does it tells you the data
Answer:
The width is: 
The length is 
Step-by-step explanation:
The given rectangle has area given algebraically by the function:
The width of the rectangle is the greatest common factor of 
, 
and 
That is the width is:
We now divide the area by the width to obtain the length of the rectangle:
This simplifies to:
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:
1. 9/25 units^2
2. s = 1/4 unit
3. = 8/27 units^3
4. s = 3/4 unit
Step-by-step explanation:
1. The area of a square is A=s^2
A = (3/5)^2
= (3/5) *(3/5)
= 9/25 units^2
2. The area of a square is A=s^2
1/16 = s^2
Take the square root of each side
sqrt(1/16) = sqrt(s^2)
1/4 = s
s = 1/4 unit
3. The volume of a cube is V = s^3
V = (2/3)^3
= (2/3) (2/3) (2/3)
= 8/27 units^3
4.The volume of a cube is V = s^3
27/64 = s^3
Take the cube root of each side
(27/64)^(1/3) = (s^3)^(1/3)
3/4 = s
s = 3/4 unit
Answer: y=-3
Step-by-step explanation:
- 3y - 7=5y + 17
-7=8y+17
8y=-24
y=-3
