beanhart0713
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NEED ANSWER ASAP PLEASE a figure is located at the points (0, 0), (−3, −4), and (−3, 0) on a coordinate plane, what kind of 3D shape would be created if the figure was rotated around the x-axis? provide an explaination to receive full credit!! INCLUDE THE DIMENSIONS OF THE 3D SHAPE​

Respuesta :

Answer:

Cone with a radius of 3 units and a height of 4 units.

Step-by-step explanation:

The points (0, 0), (-3, -4), and (-3, 0) form a right triangle in the xy-plane.

When rotated around the x-axis, this triangle sweeps out a solid shape.

The base of the cone would be a circle, with a radius of 3 units (the distance from the origin to the point (-3, 0) on the x-axis).

The height of the cone would be 4 units (the distance from the origin to the point (-3, -4) along the y-axis).

Therefore, the resulting three-dimensional shape would be a cone with a radius of 3 units and a height of 4 units.

AnsweringGod

Answer:

If the figure formed by the points (0, 0), (-3, -4), and (-3, 0) is rotated around the x-axis, it will create a three-dimensional shape known as a cone. The cone will have a circular base with a radius of 3 units and a height of 4 units, corresponding to the distance between the points (-3, -4) and (-3, 0) along the y-axis.

Step-by-step explanation:

The rotation of the figure around the x-axis results in a shape that tapers to a point from the circular base. The cone is a fundamental geometric shape in mathematics and geometry, commonly encountered in various real-world applications, such as in architecture, engineering, and even in nature. Rotation around an axis is a fundamental concept in solid geometry, leading to the creation of different three-dimensional shapes with unique characteristics and properties.

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