Understanding Secant and Tangent Lines

The video tutorial covers the relationship between secant and tangent lines, introducing a formula where the square of the tangent line length equals the product of the secant line length and the entire secant line. The instructor demonstrates solving this using algebraic methods, including the distributive property and factoring quadratic equations. The process involves identifying factors of 72 to solve the equation using the zero product property, ultimately finding the values of x.

What is the relationship between the lengths of a secant and a tangent line?

• LH^2 = LD * LX

• LH = LD + LX

• LH^2 = LD + LX

• LH = LD * LX

If LH is 12, what is the value of LH^2?

• 36

• 144

• 24

• 12

What is the combined length of X and X+2?

• X^2 + 2

• X + 2

• 2X + 2

• 2X

What property is applied to expand 2X(X + 1)?

• Associative Property

• Distributive Property

• Identity Property

• Commutative Property

What is the first step in solving a quadratic equation?

• Set the equation to zero

• Apply the distributive property

• Combine like terms

• Isolate the variable

What is the greatest common factor (GCF) of 2X^2 + 2X - 144?

• 2

• 144

• X

• 1

Which pair of numbers multiply to 72 and add to 1?

• 4 and 18

• 36 and 2

• 9 and 8

• 12 and 6

What are the factors of the quadratic equation X^2 + X - 72?

• (X + 8)(X - 9)

• (X + 6)(X - 12)

• (X - 8)(X + 9)

• (X - 6)(X + 12)

What is the solution to the equation X - 8 = 0?

• X = 0

• X = -9

• X = 8

• X = -8

What is the solution to the equation X + 9 = 0?

• X = 0

• X = -9

• X = 8

• X = 9