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dlinn [17]
3 years ago
7

How would I determine whether AB is tangent to oc? The o is a circle dot

Mathematics
1 answer:
icang [17]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

If AB is a tangent then ∠ ABC = 90° and Δ ABC is right

Using the converse of Pythagoras' identity

If the square of the longest side is equal to the sum of the squares on the other 2 sides.

15 is the longest side and 15² = 225

9² + 12² = 81 + 144 = 225

Thus Δ ABC is a right triangle at B

Thus AB is a tangent to the circle at B

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Without solving the equation, determine the nature of the roots of x^2 - 2x - 8 = 0.
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Answer:

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Step-by-step explanation:

This is a quadratic equation.  The quadratic formula can be used to determine how many and what kind of roots may exist:  

Find the discriminant, which is defined as b^2 - 4ac, if ax^2 + bx + c = 0.  In this case, a = 1, b = -2 and c  = -8, so that the discriminant value is

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Step-by-step explanation:

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3 years ago
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