What is the standard form of the equation of a circle with the radius ( r=6) and the center (h,k)= (0,0)?
1 answer:
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Answer:
3
Step-by-step explanation:
Easy pythagorean theorum question.
The law states that "A squared plus B squared, equals C squared."
A and B are the two sides that border the 90 degree mark.
C is the hypotenuse or the longest side/diagonal.
Since we know C and A (I chose to use A because why not) we can fill in the equation with what we know
2^2 + ?^2 =
So
4 + ?^2 =
Since the 13 is already squared in side of a root, it stays as 13
4 + x^2 = 13
4 - 4 + x^2 = 13 - 4
x^2 = 9
x^2 root = root of 9
x = 3
The missing side is 3.
Or you could use an online calculator xD
The question asks for the length of CD and HJ. To find those, we need to find a connection between them.
In the given statement, it says ABCD ≅ FGHJ. When we look at the equation, the corresponding letters are equal. For example, angle A is congruent to Angle F. Or BC ≅ GH.
So we know that CD and HJ are congruent.
Set them equal:
Subtract 2x from both sides:
Subtract 2 from both sides:
If x is 3, plug it in:
Simplify:
So, HJ is 11. And because HJ ≅ CD, CD is 11 too.
In the given statement, it says ABCD ≅ FGHJ. When we look at the equation, the corresponding letters are equal. For example, angle A is congruent to Angle F. Or BC ≅ GH.
So we know that CD and HJ are congruent.
Set them equal:
Subtract 2x from both sides:
Subtract 2 from both sides:
If x is 3, plug it in:
Simplify:
So, HJ is 11. And because HJ ≅ CD, CD is 11 too.