Which statements about the ellipse are true? check all that apply.

a)the center is located at (2, –1).

b)the major axis is 8 units long. the minor axis is 3 units long.

c)the vertices are 4 units above and below the center.

d)the foci are units above and below the center.

e)the foci are located along a horizontal line.

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

A, B, D, E

Step-by-step explanation:

I just did it on edge and when i did what the other dude said they were wrong, so

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).