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Jlenok [28]
3 years ago
10

Find the volume of the figure in question #2 if the figure was half filled

Mathematics
1 answer:
telo118 [61]3 years ago
4 0
The volume is 12x20x10 then divide by 2

200x12=2400

2400/2= 1200
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Mrs. Culland is finding the center of a circle whose equation is x2 + y2 + 6x + 4y – 3 = 0 by completing the square. Her work is
andrew11 [14]

The correct answer is:

(x + 3)^2 + (y + 2)^2 = 4^2, so the center is (–3, –2)

Further explanation:

The given equation of circle is:

x^2+y^2+6x+4y-3 = 0

In order to complete the square the terms have to be combined first

x^2+y^2+6x+4y = 3\\x^2+6x+y^2+4y=3\\(x^2+6x)+(y^2+4y) = 3

9 and 4 will be added to both sides of the equation to complete the square

(x^2+6x+9)+(y^2+4y+4) = 3+9+4\\(x^2+6x+9)+(y^2+4y+4) = 16

The next step completes the work

(x+3)^2+(y+2)^2 = (4)^2\\

Comparing with the standard form of circle

(x-h)^2 + (y-k)^2 = r^2\\x - h = x+3\\h=-3\\y-k = y+2\\k = -2

As the centre is (h,k), the centre of given circle will be:

(-3,-2)

Hence the correct answer is:

(x + 3)^2 + (y + 2)^2 = 4^2, so the center is (–3, –2)

Keywords: Circle, Equation of Circle

Learn more about equations of circles at:

  • brainly.com/question/3055705
  • brainly.com/question/3333996
  • brainly.com/question/3456442

#LearnwithBrainly

4 0
3 years ago
A group of objects or numbers is called
IRISSAK [1]
A group of numbers or objects is literally just called a group.
7 0
3 years ago
Read 2 more answers
How does 3.1416 come​
e-lub [12.9K]

Answer:

It is the value of pie(22/7)

3 0
2 years ago
Please help with this
Nookie1986 [14]

Answer:You better delete this because brainly moderators will get mad for seeing PDFS like this.

Step-by-step explanation:Happens to me all the time :/

3 0
2 years ago
The equation 2y = 8x represents a proportional relationship. What is the constant of proportionality?
Sphinxa [80]

Answer:

C) 4

Step-by-step explanation:

Given equation:

2y=8x

The above equation represents proportional relationship.

To find the constant of proportionality.

Solution:

<em>The equation representing proportional relationship is given by:</em>

<em>y=kx</em>

<em>where k represents constant of proportionality.</em>

So, in order to find the value of k for the given proportionality relationship, we will solve for y

We have:

2y=8x

Solving for y

Dividing both sides by 2.

\frac{2y}{2}=\frac{8x}{2}

y=4x

∴ k=4

Thus, the constant of proportionality = 4.

4 0
3 years ago
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