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
Answer:
See below.
Step-by-step explanation:
Slope of parallel line is -3/2.
Slope of perpendicular line is 2/3
Answer: $2 or $9
<u>Step-by-step explanation:</u>
Revenue (R) = $1800 , x = 1100 - 100p
R = xp
1800 = (1100 - 100p)p <em>substituted x with 1100 - 100p</em>
1800 = 1100p - 100p² <em>distributed p into 1100 - 100p</em>
100p² - 1100p + 1800 = 0 <em>added 100p² & subtracted 1100p</em> on both sides
p² - 11p + 18 = 0 <em>divided both sides by 100</em>
(p - 2) (p - 9) = 0 <em>factored quadratic equation</em>
p = 2 p = 9 <em>applied Zero Product Property to solve for p</em>
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Answer:
Five more than a number
Step-by-step explanation:
