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Orlov [11]
2 years ago
5

What is the domain of this relation? {(5,6), (5,3), (5,1), (5,0), (5,-6), (5,-10)}

Mathematics
1 answer:
mr Goodwill [35]2 years ago
7 0

Answer:

5

Step-by-step explanation:

All of the x values are 5, so the domain is 5

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The area of a circular sun spot is growing at a rate of 1,200 km2/s.
Tpy6a [65]
A)

\bf \textit{area of a circle}\\\\
A=\pi r^2
\\\\\\
\cfrac{dA}{dt}=\pi \cdot 2r\cfrac{dr}{dt}\implies \cfrac{dA}{dt}=2\pi r\cfrac{dr}{dt}\implies \cfrac{\frac{dA}{dt}}{2\pi r}=\cfrac{dr}{dt}\\\\
-----------------------------\\\\
\left. \cfrac{dr}{dt}  \right|_{r=3000}\implies \cfrac{1200}{2\pi \cdot 3000}=\cfrac{dr}{dt}\\\\

B)

\bf A=\pi r^2\qquad A=490000\implies 490000=\pi r^2\implies \sqrt{\cfrac{490000}{\pi }}=r
\\\\\\
\left. \cfrac{dr}{dt}  \right|_{r=\sqrt{\frac{490000}{\pi }}}\implies \cfrac{1200}{2\pi \cdot \sqrt{\frac{490000}{\pi }}}=\cfrac{dr}{dt}

8 0
3 years ago
What kind of solution is -4x-4=-7(x+4) ?
natima [27]

~ Simplifying

-4x + -4 = -7(x + 4)

~ Reorder the terms:

-4 + -4x = -7(x + 4)

~ Reorder the terms:

-4 + -4x = -7(4 + x)

-4 + -4x = (4 * -7 + x * -7)

-4 + -4x = (-28 + -7x)

~ Solving

-4 + -4x = -28 + -7x

~ Solving for variable 'x'.

~ Move all terms containing x to the left, all other terms to the right.

~ Add '7x' to each side of the equation.

-4 + -4x + 7x = -28 + -7x + 7x

~ Combine like terms: -4x + 7x = 3x

-4 + 3x = -28 + -7x + 7x

~ Combine like terms: -7x + 7x = 0

-4 + 3x = -28 + 0

-4 + 3x = -28

~ Add '4' to each side of the equation.

-4 + 4 + 3x = -28 + 4

~ Combine like terms: -4 + 4 = 0

0 + 3x = -28 + 4

3x = -28 + 4

~ Combine like terms: -28 + 4 = -24

3x = -24

~ Divide each side by '3'.

x = -8

~ Simplifying

x = -8

8 0
3 years ago
Read 2 more answers
Simplify 5(x + 3) - 9x+4.<br>O A. 14x+7<br>O B.-4x+19<br>O C. 14x+19<br>D. -4x+7​
Julli [10]

Answer:

B

Step-by-step explanation:

distribute

5x+15-9x+4

combine like terms

-4x+19

8 0
3 years ago
Read 2 more answers
Can someone help with this please??
allsm [11]

Answer:

you wont

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
PLEASE HURRY AND SOLVE!!!!
MissTica

Answer:

The constant of proportionality is 6

Step-by-step explanation:

Recall the equation for direct variation is y=kx where y varies directly with x and k is the constant of proportionality. If we take any listed coordinate point, we can determine the value of k. I will use (20,120) as an example:

y=kx\\\\120=k(20)\\\\6=k

Therefore, the constant of proportionality is 6

6 0
2 years ago
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