If AB is tangent to the circle, then angle ABO is right angle and triangle AOB is special $30^{\circ}-60^{\circ}-90^{\circ}$ triangle. In this triangle, the leg that is opposite to the angle of 30° is half of the hypotenuse. Thus,

$AO=2BO=2\cdot 12=24\ cm.$

By the Pythagorean theorem,

$AB^2=AO^2-BO^2,\\ \\AB^2=24^2-12^2,\\ \\AB^2=576-144=432,\\ \\AB=12\sqrt{3}\ cm.$

6 0

2 years ago

How many x-intercepts does the graph of y=2x^2-4x+2 have?<br> A.) 2<br> B.)1<br> c.)0

ASHA 777 [7]

Answer:

Step-by-step explanation:

7 0

2 years ago

What is the simplest form of √324a^2b^6?

Aleks [24]

$18 a^{2} b^{6}$

6 0

3 years ago

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