The coordinates a(0,0) b(0,4) c(2,0) are graphed and connected together. what 3-dimensional shape will be created when this shape is rotated about the y-axis? provide an explanation for your answer to receive full credit

The 3-dimensional shape that will be created is a Cone.

Step-by-step explanation:

You need to plot the points given:

A(0,0) B(0,4), C(2,0)

Now, you must connect the points plotted, as you can observe in the first image attached.

You can observe that the shape obtained is a right triangle, which has a height of 4 units and its base is 2 units.

Now, when the right triangle is rotated about the y-axis (Observe the second image attached), the 3-dimensional shape created is a cone, whose radius is 2 units and whose height is 4 units.

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3

answer: f = 32.2m

step-by-step explanation: that is the answer