Answer:
Step-by-step explanation:
The general equation of the circle is:
(x-h)²+(y-k)²=r²
(h, k)=(-3,-5) are the coordinates of the center of the circle.
r=6 is the radius
The equation of the circle is:
(x+3)²+(y+5)² = 36
Answer:
66,100 in all.
Step-by-step explanation:
Answer:

Step-by-step explanation:
So we know that the slope is 2 and the lines passes through the point (-5,1).
We can use the point-slope form. The point-slope form is:

Where m is the slope and (x₁, y₁) is a point.
So, let's substitute 2 for m and (-5,1) for (x₁, y₁), respectively. Therefore:

Simplify:

Distribute the 2:

Add 1 to both sides:

So, the equation of our line is:

Answer:

Step-by-step explanation:
step 1
Find the volume of the cylinder
The volume of the cylinder is equal to

we have
---> the radius is half the diameter

substitute

step 2
Find the volume of the cone
The volume of the cone is equal to

we have
we have
---> the radius is the same that the radius of the cylinder

substitute

step 3
Find the volume of the plastic object
we know that
The volume of the plastic object is equal to the volume of the cylinder minus the volume of the cone
so

assume


Answer:
mean = 33/6 =5.5
Step-by-step explanation: