Explanation:
The standard form of the equation of a circle is ...
(x -h)² +(y -k)² = r² . . . . . . <em>circle centered at (h, k) with radius r</em>
The general form of the equation of a circle will be ...
Ax² +Bxy +Cy² +Dx +Ey +F = 0 . . . . . A = C for a circle
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The former is converted to the latter by eliminating parentheses, subtracting r² and collecting terms.
x² +y² -2hx -2ky +(h² +k² -r²) = 0
This shows you that ...
A = C = 1
B = 0
D = -2h
E = -2k
F = h² +k² -r²
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In general form, we like to have the coefficients be mutually prime integers and the leading coefficient be positive. That is not always possible, depending on the circle being represented.
B as when you look at the X coordinate line you can see how the parabola goes between when x is both -1 and when it is -4.
Answer:
D) no solution.
Step-by-step explanation:
4(x + 1) ≤ 4x + 3
First, distribute 4 to all terms within the parenthesis:
4(x + 1) = 4(x) + 4(1) = 4x + 4
4x + 4 ≤ 4x + 3
Isolate the variable, x. Treat the "≤" as an equal sign, what you do to one side, you do to the other. Subtract 4x and 4 from both sides:
4x (-4x) + 4 (-4) ≤ 4x (-4x) + 3 (-4)
4x - 4x ≤ 3 - 4
0 ≤ -1
Since x was eliminated from the inequality, and you need the x for the inequality, your answer is D) no solution.
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Answer: Choice C) 36:25
To get this answer, we simply square each piece of the original ratio 6:5
6^2 = 36
5^2 = 25
Think of two squares where one has a side length of 6 and the other of 5. The ratio of the sides is 6:5. The areas of the two squares are 36 and 25 as mentioned above. So the ratio is 36:25. This idea can be applied to any surface area or area in general. It doesn't have to be two squares. The reason why we can apply this to any general shape is because we can break up the shape into small squares to get a rough approximation. The more squares we use, the better the approximation.
Answer:
Step-by-step explanation:
