Understanding Tangent Lines and the Pythagorean Theorem

What is the significance of the line AB in the problem?

• It is a secant line.

• It is a parallel line.

• It is a perpendicular line.

• It is a tangent line.

What does a tangent line create when it touches a circle?

• A bisector

• A perpendicular line

• A secant line

• A parallel line

Which theorem is applied to find the value of x?

• Remainder theorem

• Pythagorean theorem

• Binomial theorem

• Fundamental theorem of calculus

What is the equation set up using the Pythagorean theorem?

• x^2 + 12^2 = (x + 8)^2

• x^2 + 12 = (x + 8)^2

• x + 12^2 = (x + 8)^2

• x^2 + 12^2 = x + 8

What is the term for the expression (x + 8)^2?

• Perfect square trinomial

• Quadratic equation

• Linear equation

• Difference of squares

What is the result of foiling (x + 8)^2?

• x^2 + 8 + 64

• x^2 + 16 + 64

• x^2 + 16x + 64

• x^2 + 8x + 64

What is the next step after foiling the equation?

• Combine like terms

• Subtract x^2 from both sides

• Divide by 16

• Add x^2 to both sides

What is the value of 144 - 64?

• 80

• 100

• 70

• 90

What is the final value of x after solving the equation?

• 4

• 6

• 7

• 5

What mathematical method could be used if factoring was required?

• Binomial expansion

• Completing the square

• Quadratic formula

• Synthetic division