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2 years ago

To increase the volume of a sphere, you

Mathematics

1 answer:

Aliun [14]2 years ago

8 0

Must increase the radius r, as volume of a sphere depends on the radius.

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What is the general form of the equation of a circle with its center at (-2, 1) and passing through (-4, 1)?

AnnZ [28]

Answer:

$x^{2}+y^{2} +4x-2y+1=0$

Step-by-step explanation:

we know that

The general form of the equation of a circle is

$x^{2} +y^{2}+ Dx + Ey + F=0$

where D, E, F are constants

step 1

Find the radius of the circle

Remember that the distance from the center to any point on the circle is equal to the radius

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

$(-2,1)\\(-4,1)$

substitute the values

$r=\sqrt{(1-1)^{2}+(-4+2)^{2}}$

$r=\sqrt{(0)^{2}+(-2)^{2}}$

$r=2\ units$

step 2

Find the equation of the circle in standard form

$(x-h)^{2} +(y-k)^{2}=r^{2}$

In this problem we have

center ( -2,1)

radius r=2 units

substitute

$(x+2)^{2} +(y-1)^{2}=2^{2}$

$(x+2)^{2} +(y-1)^{2}=4$

Step 3

Convert to general form

$(x+2)^{2} +(y-1)^{2}=4\\ \\x^{2}+4x+4+y^{2}-2y+1=4\\ \\x^{2}+y^{2} +4x-2y+1=0$

7 0

3 years ago

Divide √9x2 by √18y2

Murrr4er [49]

The answer is x√2/2y

Hope this helps! :)

3 0

3 years ago

F(x) = x3 + 3x² - 4x

Tcecarenko [31]

Answer:

x = 0, 1, -4

Step-by-step explanation:

You can look at the graph where the equation intersects the x-axis.

3 0

3 years ago

Read 2 more answers

An international company has 23,200 employees in one country. If this represents 26.7% of the company's employees, how many empl

omeli [17]

Answer:

Total number of employees = 86,891 employees

Step-by-step explanation:

Let

x = total number of employees

26.7% of x = 23,200

26.7/100 * x = 23,200

0.267 * x = 23,200

0.267x = 23,200

x = 23,200/0.267

x = 86,891.385767790

approximately 86,891 employees

Total number of employees = 86,891 employees

6 0

3 years ago

What is a factor of -270 that adds to be -39

sergeinik [125]

For this one your answer is -309

4 0

3 years ago