Graph (x-4)^2/4 + y^2/9 = 1

9514 1404 393

  see attached

Step-by-step explanation:

Compare the equation to that of an ellipse with center (h, k) and axes of lengths 2a and 2b.

  ((x -h)/a)^2 +((y -k)/b)^2 = 1

We see that (h, k) = (4, 0) and a=2, b=3.

This tells us the center of the ellipse is (4, 0), the major axis is parallel to the y-axis, and the minor axis is parallel to the x-axis. The ellipse extends ±2 units from its center in the x-direction and ±3 units from its center in the y-direction.

It is graph C on edge.

Step-by-step explanation:

a² + b²= c²

24² + 7² = c²

c= 25

x = -4

step-by-step explanation:

- 20 - 4(x + 3) = 4x

=> -20 - 4x - 12 = 4x

=> - 32 -4x = 4x

=> -32 = 4x + 4x

=> - 32 = 8x

=> -32/8 = x

=> -4 = x