Question

A point , W , is graphed at (0, 4) Choose the coordinates of a shape that can be rotated about the y - axis to create a cone . ( 5 points ) X(0, 0) and Y (0, 3); X(0, 0) and Y(4, 0); X(0, 0) and Y (0, - 3);X (0, 0) and Y (0, - 5)

Answer 1

Given:

A point W is graphed at (0, 4).

To find:

The coordinates of a shape can be rotated about the y - axis to create a cone.

Step-by-step explanation:

We know that,

If the shape should be rotated about the y-axis to make a cone, then the shape needs to be a right-angled triangle.

It will have its length on the y-axis, and the other length either parallel to the x-axis or on the x-axis.

Since we already have a point at (0, 4), we can get another point at (0, 0) from the given options as all are the same.

So, the vertical length is 4.

The triangle is a right triangle iff the horizontal-vertical-hypotenuse length are in the form 3-4-5.

Since the horizontal length is 3 units.

So, the third point will be (0, -3).

Therefore, the points are,

`X\left(0,0\right)and\text{ }Y(0,-3)`

Final answer:

The points are,

`X\left(0,0\right)and\text{ }Y(0,-3)`