Solve the system !! please help!
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Therefore the point P is at 3.46 cm from O and it lies on the angle bisector of ∠XOY
<h3>What is an Angle Bisector ?</h3>The ray that bisects the angle into half is called Angle Bisector.
It is given that ∠XOY = 60 degree
the length of OX = 4.5 cm
OY =5 cm
The point M is on OX such that
OM = 2 MX
so The M is at 3 cm from O
The point P lies in the acute angle such that the distance between point P and OX and OY is always same and at 3 cm from M
According to the angle bisector theorem converse states that if a point is in the interior of an angle and is at equal distance from the sides then it lies on the bisector of that angle.
As it can be seen from the image that a point equidistant from the rays , at 3 cm from M will be at
By Pythagoras Theorem
3² +3² = OP²
OP = 2 = 3.46 cm from O
To know more about Angle Bisector
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Answer:
The equation of a circle is .
Step-by-step explanation:
-The equation of a circle is:
(where center is
, the point
and the radius known as
).
-Use the center (5,-4) and the point (5,-2) for the equation:
-Solve the equation:
-After you found the radius, use the center (5, -4) and radius 2 to get the equation of a circle:
-Then, after you have the equation, the radius needs to simplified by the exponent: