araceli9603
araceli9603 araceli9603
  • 19-08-2019
  • Mathematics
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AD is tangent to circle O at D. Find AB. Round to the nearest tenth if necessary. Thank you.

AD is tangent to circle O at D Find AB Round to the nearest tenth if necessary Thank you class=

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calculista
calculista calculista
  • 22-08-2019

Answer:

AB=2.1

Step-by-step explanation:

we know that

Applying the Intersecting Secant-Tangent Theorem

[tex](BC+AB)(AB)=AD^{2}[/tex]

substitute the given values and solve for AB

[tex](15+AB)(AB)=6^{2}[/tex]

Let

x=AB

substitute

[tex](15+x)(x)=36[/tex]

[tex]x^{2}+15x-36=0[/tex]

Solve the quadratic equation by graphing

The solution is x=2.1

see the attached figure

therefore

AB=2.1

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