Write an expression that has two terms. Your expression should have a variable and a constant.

1 answer:

8 0

Quite simply: 2+x

A constant is simply a number, something that does not change: here it's "2"

A variable can chage: here it's "x" - anything can be substituted for x

If we put those two together with a "+" sign, we get an expression: variables or contants (including multipled ones: such as 2x, which is a term) added to each other or subtracted from each other

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A triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis. What is the volume of the figure?

Luden [163]

Given:

A triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis.

To find:

The volume of the figure.

Solution:

Points A(0,0) and C(0,9) lies on the y-axis. Length of AC is 9 units.

Points A(0,0) and B(6,0) lies on the x-axis. Length of AB is 6 units.

If a triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis, then it will form a cone with radius 6 units and height 9 units.

Volume of a cone is

$V=\dfrac{1}{3}\pi r^2h$