The general form of the equation of a circle is,
x² + y² + Dx + Ey + F = 0, where D, E, F are constants.
The given equation is 7x² + 7y² − 28x + 42y − 35 = 0. So, to convert this equation into a general form we just need to get rid of the leading coefficient 7.
Hence, divide both sides of the equation by 7. So,
x² + y² − 4x + 6y − 5=0.
So, the general form of the equation is x² + y² − 4x + 6y − 5=0.
<em>This means that at some specific number of days the cost for Oceanview and Beachside will be the same.</em>
<h2 /><h2>Explanation:</h2>See the complete question in the attached file. In this exercise, we know that Oceanview charges $100 per day plus a one-time fee of $40. This can be represented by the following equation:
Total cost for Oceanview:
Total cost for Beachside:
Where:
So we have to explain what the equation:
represents in the context of the problem. We have used substitution in order to get that equation, so <em>this means that at some specific number of days the cost for Oceanview and Beachside will be the same.</em>
This value was calculated and we get that<em> the cost at the hotels will be the same after 4 days and it will be $440.</em>
<h2>Learn more:</h2>Linear equations: brainly.com/question/12412678
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