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guapka [62]
3 years ago
12

In circle O, AP = √10, PB = x and BC = 3. Find the value of x.

Mathematics
1 answer:
Artyom0805 [142]3 years ago
7 0

Answer:

The value of x is 2\ units

Step-by-step explanation:

we know that

Applying the  tangent-secant theorem

AP^{2}=PB*PC

substitute the values and solve for x

\sqrt{10}^{2}=x*(x+3)

10=x^{2}+3x

x^{2}+3x-10=0

using a graphing tool

to solve the quadratic equation

The solution is x=2\ units

see the attached figure

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Determine the type(s) of the triangle with the given coordinates. X(6,1) Y(-2,-3) Z(0,3)
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The triangle with the given coordinates X(6,1) Y(-2,-3) Z(0,3) is an isosceles triangle.

The given coordinates are X(6,1) Y(-2,-3) Z(0,3).

<h3>What are coordinates?</h3>

A coordinate system is a system in geometry that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold, such as Euclidean space, in a unique way.

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