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Answers

Answer 1

Answer: the equation formula of the circle is (x-h)^2 + (y-k)^2 = r^2
where (h,k) the point of the center of the circle
and (r) is the radius of the circle
so if the center of the circle = (-2,-4)
by subs. in the formula we get (x-(-2))^2 + (y-(-4))^2 = r^2
then the equation will be (x+2)^2 + (y+4)^2 = r^2
now we want to define the radius of the circle r
since point (3,8) lay on the circle so we can
then subs. in the equation to get the radius
(x+2)^2 +(y+4)^2 = r^2
(3+2)^2 +(8+4)^2 = r^2
25 + 144 = r^2
r^2 = 169
r= 13
the radius of the circle is 13
so by subs in the equation we get
(x+2)^2 + (y+4)^2 = 169
so it is the first answer in the choices

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THE VOLUME OF A CONE IS 15 PI CUBIC METERS. WHAT IS THE VOLUME OF A CYLINDER HAVING THE SAME BASE AND SAME HEIGHT?

Answers

Okay, so I know that you either multiply the volume of a cone by 3 to get the cylinders volume, or you divide it. I think you multiply it. Just remember, the rule is to multiply the volume of a cone by 3, to get the cylinder volume with the same measurements. So 15 x 3.

Final answer:

To find the volume of a cone and a cylinder with the same base and height, use the formulas for volume of a cone and volume of a cylinder. Solve for r^2 * h in the cone's volume formula, then use this value in the cylinder's volume formula.

Explanation:

To find the volume of the cylinder with the same base and height as the given cone, we need to know the formula for the volume of a cone and the formula for the volume of a cylinder. The volume of a cone is given by the formula V = 1/3 * π * r^2 * h, where r is the radius of the base and h is the height of the cone. Since the cone has a volume of 15π cubic meters, we can set up the equation 15π = 1/3 * π * r^2 * h and solve for r^2 * h. Once we have r^2 * h, we can use the formula for the volume of a cylinder, V = π * r^2 * h, to calculate the volume of the cylinder.

, let's solve the equation 15π = 1/3 * π * r^2 * h for r^2 * h:

15π = 1/3 * π * r^2 * h

Multiplying both sides of the equation by 3, we get:

45π = π * r^2 * h

Canceling out the π on both sides of the equation, we get:

45 = r^2 * h

Now we have r^2 * h, which is 45. Let's plug this value into the formula for the volume of a cylinder, V = π * r^2 * h:

V = π * 45

So the volume of the cylinder with the same base and height as the given cone is 45π cubic meters.

Learn more about Volume of Cone and Cylinder here:

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What is the middle product of (-2x 1)(-3x - 5)? User: Factor 64a2 - 48a + 9.

Answers

What is the middle product of (-2x 1)(-3x - 5)
= (-2x -1)(-3x - 5)
= 6x^2 + 3x + 10x + 5
= 6x^2 + 13x + 5

So the middle product is 13x.

Factor 64a2 - 48a + 9.
64a2 - 48a + 9
(8a - 3) (8a - 3)

What is the slope of the line whose equation is 8x-4y=8?

Answers

8x-4y=8
4y=8x-8
Divide it by 4
y=2x-2
Then, compare with y=mx+c

The answer is m=2

Write "252 miles per 8 gallons " as a rate in simplest form

Answers

Hi there! 252 miles per gallon would be 252 miles/8 gallons. The GCF of 252 and 8 is 4 so we are going to divide by 4. 252÷4=63 and 8÷4=2. In this case, we have a fraction of 63/2.

Answer:

Rate per gallon in simplest form is, $(63)/(2)$