Option A: 
is the equation of the circle
Explanation:
The equation of the circle is 
We need to write the equation of the circle in standard form.
Let us subtract 10 from both sides of the equation.
Thus, we have,
Grouping the terms,we have,
Now, we shall complete the square, let us add and subtract the equation by 9 to write the term 
in the form of 
Thus, we have,
Simplifying, we get,
Similarly, we shall complete the square for the term 
in the form of
Thus, we have,
Simplifying, we get,
Thus, the equation of the circle in standard form is
Hence, Option A is the correct answer.
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Information
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Amount = $400
Interest rate = 4% a year
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Equation
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Total amount = 400 + 0.04(400)
Total amount = 400 + 16
Total amount = $416
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Answer: Total Amount = 400 + 0.04(400)
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Answer:
![\frac{\sqrt[4]{10xy^3}}{2y}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B4%5D%7B10xy%5E3%7D%7D%7B2y%7D)
Step-by-step explanation:
I am assuming you want me to rationalize the denominator.
Answer:
78/100
Step-by-step explanation:
Since .78 is in the hundredths place just move the decimal two places to the right then put it over 100. But idk if you mistyped this because .78 is not a repeating decimal
Answer:
<u>4 meters.</u>
Step-by-step explanation:
Benjamin has walked two legs of a right triangle, so you can connect her two movements with a line if you were sketching the situation.. The displacement is the objects overall change in position in relation to its origin, so in your case, Benjamin's apartment. While the total distance adds up regardless of her position.
So, the total distance Benjamin walked is 10m + 6m = 16m
Her displacement can be found by your best friends, the Pythagorean Theorem: 10m ^2 + 6m ^2 = delta x^2 (or displacement squared).. giving you a displacement of 11.66, or 12 m.
The difference between the distance she walked and her displacement is 4 meters.
I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!
