Answer:
11/12
Step-by-step explanation:
10/24 + 12/24 = 22/24
22/24 = 11/12
You have to complete the squares on both the x terms and the y terms in order to solve this. Move the 20 over to the other side so it's negative. Group the x terms together and complete the square to get (x^2+2x+1) and then do the same with the y terms: (y^2-4y+4). You have to add 1 and 4 to other side with the 20 to get a 25. Then create 2 perfect square binomials within each x and y value to get the vertex coordinates: (x+1)^2 + (y-2)^2 = 25. This tells us that the vertex is located at (-1, 2) and the radius is the square root of 25 which is 5.So the answer is the first choice above.
Well, we can set up these equations like this-
Deborah- 2+3w
Kai- 12+2w
w=number of weeks that pass
Now, we set them equal to each other:
2+3w=12+2w
Solve for w
2-12=2w-3w
-10 = -1w
w = 10
10 weeks. Hope this helped!
Answer:
The midpoint is ( 7,5)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinate of the endpoints and divide by 2
( 4+10)/2 = 14/2 = 7
To find the y coordinate of the midpoint, add the y coordinate of the endpoints and divide by 2
(8+2)/2 = 10/2 = 5
The midpoint is ( 7,5)
