To find x, we have to use the pythagorean theorem.
a^2 + b^2 = c^2.
In our problem,
a = 3
b = ?
c = 6.5
(3)^2 + b^2 = (6.5)^2
Simplify the left and right side.
9 + b^2 = 42.25.
Subtract 9 from each side
b^2 = 33.25.
Take the square root of each side
b = 5.8.
Multiply 5.8 by two becuase 5.8 is the radius and we are looking for the diameter
x = 11.6
4x+2y-6z-x-3y+2z= 3x-y-4z
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Answer:
i
Step-by-step explanation:
it is an imaginary number
Answer: 32
Step-by-step explanation:
Answer:
(x - 3)^2 + (y + 1) = 25
Step-by-step explanation:
First find the midpoint of the diameter, because that represents the center of the circle.
-1 + 7
The x-coordinate of the midpoint is xm = ---------- = 3
2
2 - 4
and the y-coordinate is ym = ---------- = -1
2
And so the center of this circle is at (3, -1).
Use the Pythagorean Theorem to determine the square of the radius:
square of radius = 4^2 + (-3)^2 = 16 + 9 = 25
And so the equation of this circle is (x - 3)^2 + (y + 1) = 25
