Find the equation of the circle that has a diameter with endpoints located at (-3,6) and (9,6)
1 answer:
Answer:
The equation of the circle is:
Step-by-step explanation:
Notice that the points at the two extremes of the diameter they give you are both located along the line y=6, and are separated by each other the distance given by: 9-(-3) = 12. So the diameter of the circle is 12 units, and then its radius is half of that: 6 units. (r = 6).
Now the center of the circle must be located also on the line y=6, and its x position must be that of the equidistant point to the two extremes. that is: x center = 9-6 = 3
Then the center of the circle is at the point (3,6) in the plane.and its radius is r=6. With this info, we can use the standard equation for a circle of radius r and center :
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Answer:
Step-by-step explanation:
1. Well, when it comes to triangles. Mainly Pythagorean Triple, right triangles whose sides are 3,4,5 or 5,11,12
2. Keeping in mind this a Pythagorean Triple, then x=5
3. Then we can write it as Compound Inequality by combining the Statements for an Inequality of Triangle:
We can write it as
Or we can do:
and:
4. Writing in terms of x:
<h3>Answer: Choice A</h3>
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Explanation:
The fourth root of x is the same as x^(1/4)
I.e,
The same applies to x^10 as well
Multiply the exponents 10 and 1/4 to get 10/4
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If we have an expression in the form x^(m/n), with m > n, then we can simplify it into an equivalent form as shown below
The 'a' and 'b' are found through dividing m/n
m/n = a remainder b
'a' is the quotient, b is the remainder
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The general formula can easily be confusing, so let's replace m and n with the proper numbers. In this case, m = 10 and n = 4
m/n = 10/4 = 2 remainder 2
We have a = 2 and b = 2
So
turns into
which means