Which equations are equivalent to the expression below ? check all that apply 9^x a.3 * 3^x b.3^2x c.3 * 3^x d.(3 * 3)^x e.3^2 * 3^x f. 3^x * 3^x

It looks like selections A and C are identical. (Neither is equivalent to 9^x.)

If B is supposed to be 3^(2x), it is equivalent to F and D and to the given expression.

Of course, D evaluates to 9^x, so is equivalent.

Choice E evaluates to 3^(x+2), which is not equivalent to 3^(2x).

The applicable choices appear to be

... B. 3^(2x)

... D. (3*3)^x

... F. (3^x)*(3^x)

ANSWER

A, C, D

EXPLANATION

The center of the the given ellipse is the middle dot( The point in the middle of the oval shape).

Reading from the graph the center is (2,-1) because each box is 1 unit.

Hence,

A)The center is located at (2, –1).

is a correct option.

The length of the major axis is the distance from one vertex to the other. In this case the length of the major axis is the distance from the bottom point to the upper point. Counting from the grid the length is 8 units.

The length of the minor axis is the distance between the co-vertices which is 6 units. (left to right point).

Hence option B is not correct.

C) is also a correct option because the vertices are 4 units above and below the center.

The foci are located along the vertical axis. They are √7 units above and below the center.

D)The foci are √7 units above and below the center is also correct.(If actually √7 is the missing information in this option)

Option E is false because the foci are NOT located along a horizontal line.

NB: We use the relation

to find the foci.

In this case:

The foci is