Answer:
12.68 if you are rounding to the hundreths place
Step-by-step explanation:
The solution can be found where two lines intersect. The lines in the image do not intersect at an exact point, so we will need to estimate.
The x value is either 1 or -1 from your choices. You can see it is closer to -1 on the horizontal (x axis).
The y value is either 0 or -1 from your choices. You can see it is closer to 0 on the vertical (y axis).
The answer to your set of lines is approximately (-1,0).
7.) the equation of the circle is
(x - 3)^2 + (y - 4)^2 = 25
If you substitute the point in you get
(6-3)^2 + (8-4)^2 = 25
3^2 + 4^2 = 25
9 + 16 = 25
25 = 25
Both sides of the equation are the same so it proves it lies on the circle
8.) you add the x coordinates together and divide by 2
7 + 4 = 11
11/2 = 5.5
You use +7 because you need to find the midpoint.
You then add 5.5 to - 7 or - 5.5 from 4
-7 + 5.5 = - 1.5
You do the same for y coordinates
6+5 = 11
11/2 = 5.5
6-5.5 = 0.5
So the coordinates of Rachel's house are
(-1.5, 0.5)