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3 years ago

What is the center and radius of the following circle (x - 5) ^ 2 + (y + 2) ^ 2 = 16

Mathematics

1 answer:

murzikaleks [220]3 years ago

4 0

Answer:

Step-by-step explanation:

if center=(h,k)

radius=r

eq. of circle is (x-h)^2+(y-k)^2=r^2

given eq. is (x-5)^2+(y+2)^2=16=4^2

comparing

center =(5,-2)

radius r=4

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Write the number seven hundred fifty -one with digits

Stells [14]

751......do u seriously need this?

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3 years ago

7.<br>(-3x³)(-2x³y⁴z)(-3z²)÷(4x³z)(-3yz) (-3xyz)

serg [7]

Answer:

$-\frac{x^2y^2}{2}$

Step-by-step explanation:

We have an extremely large equation and are asked to divide it, so let's solve it step-by-step :

Remove the parenthesis to make it easier to read :

$\frac{-3x^3 *2x^3y^4z *3z^2}{4x^3z*3yz*3xyz}$

Multiply the numerators :

$\frac{-18x^6y^4z^3}{4*3*3x^3yyzzz}$

Multiply the denominators :

$\frac{-18x^6y^4z^3}{36x^4y^2z^3}$

Apply the negative rule :

$-\frac{18x^6y^4z^3}{36x^4y^2z^3}$

Cancel the common factor which is 18 :

$-\frac{x^6y^4z^3}{2x^4y^2z^3}$

Apply the addition exponent rule :

$\frac{y^4z^3x^{6-4} }{2y^2z^3}$

Subtract :

$\frac{x^2y^4z^3 }{2y^2z^3}$

Apply the rule for y :

$\frac{x^2y^{4-2} z^3 }{2z^3}$

Subtract :

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Cancel the common factor of z^3 :

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5 0

3 years ago

The ratio of Country albums to Jazz albums in a music collection is 2:3. If the music collection has 45 albums, how many Country

Marina86 [1]

2:3. 2+3=5. So 45 divided by 5 equals 9

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4 0

3 years ago

Okay here's the first few questions

Marina86 [1]

Answer:

1,yes

2,no

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6 0

3 years ago

Which of the following xpressions is equivalent to -1/4 - 5/3? -1/4 + (-5/3) or - 1/4 + 5/3?

Nadusha1986 [10]

-1/4 + (-5/3)

When there is no number between a grouping symbol and a + or - sign, by default you can multiply the contents in the group by 1 to get rid of the grouping symbols.

5 0

3 years ago