An equation that detemine the center, the radius, and one point of the circle
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Answer:
Step-by-step explanation:
One property of parallelogram is that opposite angles have the same measure, so we can write down:
Another property is that two adjacent angles are supplementary (meaning that they add up to 180 degrees). Thus, the following equations are true:
Solve the equations:
To check, add up all 4 angles and check if they sum up to 360 degrees:
And please ignore the fact that I cannot insert the degree sign :(
Answer:
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Explanation:
We cannot have negative numbers under the square root, if we wanted the result to be some real number.
The stuff under the square root must be 0 or larger.
This means the x+2 must be 0 or larger.
Similarly, the 5-x must be 0 or larger. But wait, we cannot have 0 in the denominator (or else we have a division by zero error), so 5-x must be larger than 0.
5-x > 0
5-x+x > 0+x
5+0 > 0+x
5 > x
x < 5
Combine both and
to find the domain is
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Visual confirmation is shown below. I used Desmos which is a free graphing app.
- f(x) = sqrt(x+2) is in red
- g(x) = sqrt(5-x) is in blue
- h(x) = f(x)/g(x) is in green
The green curve is what we're after. It's between x = -2 and x = 5
We include -2, but exclude 5.
Take note of the closed endpoint at x = -2, and also the vertical asymptote at x = 5. The curve approaches this asymptote but never actually touches it. Think of an electric fence you can get closer to, but not actually touch.
