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Gnoma [55]
4 years ago
6

Example 3 Could x^2+y^2+AX +????Y +????=0 represent a circle

Mathematics
1 answer:
Oksi-84 [34.3K]4 years ago
8 0

Answer: Yes it could

Step-by-step explanation:

The equation given is a circle. For an equation to represent equation of a circle, the following conditions must be met

1.) The coefficient of x² and y² must be the same

2) The equation must have a linear function containing x and y like AX and ???Y in the equation above.

Since the equation given conforms with the general of a circle x²+y²+2gx+2fy+c = 0, therefore the equation could represents a circle

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What makes a mathematical statement an equation.
kirza4 [7]

Answer:

Step-by-step explanation:

In mathematics, an equation is a statement that asserts the equality of two expressions, which are connected by the equals sign "=".

4 0
3 years ago
the pitch, or frequency, of a vibrating string varies directly with the square root of the tension. if a string vibrates at a fr
Naily [24]
\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad  y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad  variation
\end{array}\\\\
-------------------------------\\\\
\begin{array}{llll}
\stackrel{frequency}{f}\textit{ of a vibrating string varies directly}\\
\qquad \qquad \textit{with the square root of the tension }\stackrel{tension}{t}
\end{array}

\bf f=k\sqrt{t}\quad \textit{we also know that }
\begin{cases}
f=300\\
t=8
\end{cases}\implies 300=k\sqrt{8}
\\\\\\
\cfrac{300}{\sqrt{8}}=k\implies \cfrac{300}{\sqrt{2^2\cdot 2}}=k\implies \cfrac{300}{2\sqrt{2}}=k\implies \cfrac{150}{\sqrt{2}}=k
\\\\\\
\textit{and we can \underline{rationalize} it to }\cfrac{150\sqrt{2}}{2}\implies 75\sqrt{2}=k

\bf thus\qquad f=\stackrel{k}{75\sqrt{2}}\sqrt{t}\implies \boxed{f=75\sqrt{2t}}\\\\
-------------------------------\\\\
\textit{now, when t = 72, what is \underline{f}?}\qquad f=75\sqrt{2(72)}
5 0
4 years ago
Read 2 more answers
Easy points i just have a question. Is this picture showing up?
tiny-mole [99]
Yes it does have a great day
6 0
4 years ago
Read 2 more answers
suppose you know that over the last 10 years, the porbabiliy that your town would have at least one ma jor stor was 40%. describ
Anuta_ua [19.1K]

Answer:

The probability of a big storm is 40%.

Now, you can find a D10 (a die with 10 faces)

You can assign 4 numbers (0, 1, 2, 3) to the event "there is a major storm"

in this way, you have 40% of having a storm.

and the other 6 numbers (4, 5, 6, 7, 8, 9) to the event "there is not a major storm". This means that we have 60% of not having a storm.

now, when you roll the dice you can see if a year there will be a storm or not.

Now, you roll the dice 5 times (for the 5 years) and take note of the results and the number of storms in those 5 rolls.

Now do the same thing a bunch of times, at least 25 times.

Now, you recorded the results in each set of rolls, now see the number of sets that have at least years with storms.

Take that number and divide it by the total number of sets of data (in this case 25, for example)

The result is the probability that we are looking for.

6 0
3 years ago
The sum of four consecutive even integers is 180. what is the smallest integer?
n200080 [17]
42
let the smallest even number be x, than the four even numbers are x, x+2, x+4, x+6, their sum is 180

x+x+2+x+4+x+6=180
                4x+12=180
                      4x=168
                        x=42
the smallest even number is 42.

3 0
3 years ago
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