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Alex Ar [27]
3 years ago
15

Solution to system of equations

Mathematics
1 answer:
Rufina [12.5K]3 years ago
6 0

Answer: In general, a solution of a system in two variables is an ordered pair that makes BOTH equations true. In other words, it is where the two graphs intersect, what they have in common. So if an ordered pair is a solution to one equation, but not the other, then it is NOT a solution to the system

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The radius of one circle is three the time radius of another circle. The sum of their areas is 12pi. Find the radius of each cir
zlopas [31]
   
\displaystyle\\
\begin{cases}
R_1 = 3R_2\\
\pi R_1^2 +\pi R_2^2=12\pi ~~~\Big|~~:\pi 
\end{cases} \\  \\ 
\begin{cases} 
R_1 = 3R_2\\
R_1^2 + R_2^2=12 
\end{cases} \\  \\ 
(3R_2)^2+ R_2^2=12 \\  \\ 
9R_2^2 + R_2^2=12 \\  \\ 
10R_2^2=12\\\\
R_2^2 = \frac{12}{10} = \frac{6}{5}  \\  \\ 
R_2 =  \boxed{\sqrt{\frac{6}{5}} } \\  \\ 
R_1 = \boxed{3\sqrt{\frac{6}{5}} }



7 0
3 years ago
-Quiz-<br> Which equation represents a circle with a center at (-4, 9) and a diameter of 10 units?
vodka [1.7K]

Answer:

(x - 9)2 Step-by-step explanation:

7 0
3 years ago
In 2007, the U.S. population was 302 million people. In 2012, it was 314 million. What was the rate of population change per yea
allsm [11]

Answer:

314/302=1.039735 growth in US population in 5 years

(1.039735)^1/5=0.782% average growth in US population per year.

6 0
3 years ago
Where would you place root 8 on the Venn diagram? A) integers B) natural numbers C) rational numbers D) irrational numbers
tangare [24]

Answer:

Option (D)

Step-by-step explanation:

All rational and irrational numbers are real numbers.

{-2, -1, -1.8, 0, 1, 2.......}

Numbers written in the form of \frac{p}{q} are rational numbers. They are the part of irrational numbers.

{-2.5, -2, -1, 0, 1, 2.....}

Whole numbers with negative or positive notation are integers.

{-3, -2, -1, 0, 1, 2, 3, 4......}

Positive integers are the whole numbers (including zero).

{0, 1, 2, 3, 4, .......}

All whole numbers excluding zero are the natural numbers.

{1, 2, 3, 4,........}

Irrational numbers are the part of real numbers written in the form of \frac{p}{q}.

{\sqrt{2},\sqrt{5},\pi, \sqrt{10}}

Therefore, \sqrt{8} comes under Irrational numbers.

Option (D) is the answer.

7 0
3 years ago
How can I Simplify 13⁰ this ​
Brut [27]
The answer is 1. Please mark brainelist
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