The radius of the circle is given to be r = 14.5
Let the center be O. So OB is the radius = 14.5
We can draw a triangle as shown in the image below. We have a right angled triangle. We know the hypotenuse and the base, we need to find the perpendicular side. This can be done using the Pythagorean theorem.
So, we can write:
Thus, the measure of OA = 10.5
OB = OA + AB
14.5 = 10.5 + AB
⇒
AB = 4
Answer:
Step-by-step explanation:
This isn't the same thing although you will get some factors that have i in them
(x^4 - 64) factors using the difference of squares.
(x^2 - 8)(x^2 + 8) Both of these factor using the difference of squares.
(x^2 - 8): factors into (x + sqrt(8) )(x - sqrt(8) )
(x^2 - 8): factors further (x + 2*sqrt2)(x - 2sqrt(2)
(x ^2 + 8) : (x + sqrt(8)i ) (x - sqrt(8)i )
(x^2 + 8) : (x + 2sqrt(2)i) (x - 2sqrt(2)i)
Final answer
(x + 2*sqrt2)(x - 2sqrt(2)(x + 2*sqrt2)(x - 2sqrt(2)
(3j, 3k) and (3/j, 3k)
So if their x values have the same signs and their y values have the same signs, they are in the same quadrant.
If j is negative, both 3j and 3/j would be negative. If j is positive then both 3j and 3/j are positive.
And 3k is the same as 3k.
9514 1404 393
Explanation:
This is a self-answering question: you solve it by graphing the equations.
<em>The solution is where the lines intersect</em>. The point of intersection of the lines is the point that satisfies all the equations for the lines, hence is a solution to the system. If they do not intersect, there are no solutions. If the lines are coincident, there are an infinite number of solutions.
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The equations can be graphed by any of a number of methods. (My favorite is to let a graphing calculator do it.) The method of choice depends on the coefficients and the form the equations are given in. Methods of graphing are a topic for a more lengthy discussion.
