A figure is located at (0,0)(-3, -4), and (-3,0) on a coordinate plane. What kind of 3-D shape would be created if the figure was rotated around the x-axis? Provide an explanation and proof of your answer to receive full credit. Include the dimensions of the 3-D shape in your explanation.

Step-by-step explanation:

If we plot the angles, it will form a right triangle work side lengths 3,4,5. by using the distance formula.

Proof:

We can find 3, by subtracting the origin minus the coordinates.

(0,0)-(-3,0)= 3.

(-3,0)-(-3,-4)=4.

If we reflect this about the x axis, it would form a cone. with a circular base. The picture shows that at the top.

The height will be 4 since 4 is the length of the vertical side of the right triangle. The radius is 3 since 3 is the length of the horizontal side of the right triangle. The slant height is the hypotenuse which is 5.

x= -3

step-by-step explanation:

step 1: simplify brackets

4 - x - 1 = 6

step 2: simpilfy

3 - x = 6

step 3: subtract 3 from both sides

-x = 6 - 3

step 4: simpilfy 6 - 3

-x = 3

step 5: multiply both sides by -1

x = -3

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6