While the question gives us the coordinates for 4 points, we only need 2. You can choose any pair of points and the process I will demonstrate will still be applicable and you will get the same results. I will just pick the first two points.
Points: (4,-4) and (8,-1)
As you may already have known, the first number in the parentheses is the x value and the second number is the y value. In order to solve for the slope of the line created by the two points, we must find the difference between the y values of the two points and divide by the difference between the x values of the two points. This can more commonly be called delta y over delta x.
(y of point 1 - y of point 2)/(x of point 1 - x of point 2)
= (-4 + 1)/(4 - 8)
= (-3)/(-4)
=3/4
Slope = 3/4
Since this is a 3D object, the center of the sphere has 3 coordinates: x=2, y = -6 and z = 4.
The equation would be:
(x-2)^2 + (y+6)^2 + (z-4)^2 = 5^2 (answer).
To find the equation of the intersection of this sphere with the xy plane, let z = 0. Then (x-2)^2 + (y+6)^2 + (0-4)^2 = 25
This simplifies to (x-2)^2 + (y+6)^2 = 5^2 (or 25).
Find and describe the sphere's intersections with the other 2 coord. planes.
Answer:
if it is the circles it is 64
Step-by-step explanation:
if the shaded area is the circles than it is 64
89.04 is 84% of 106
106*.84=106
