Solve for x given the intersection of two chords not at the center of a circle

The video tutorial covers the concept of intersecting cords in geometry, explaining that the product of the segments of one cord is equal to the product of the segments of the other. It then transitions into algebra, demonstrating the application of the distributive property and the FOIL method for multiplying binomials. The tutorial concludes with solving an equation by combining like terms and isolating variables.

What is the relationship between the segments of two intersecting chords?

• The difference between the segments of one chord equals the difference of the segments of the other.

• The sum of the segments of one chord equals the sum of the segments of the other.

• The product of the segments of one chord equals the product of the segments of the other.

• The ratio of the segments of one chord equals the ratio of the segments of the other.

Which method is used to simplify the multiplication of two binomials?

• Completing the square

• Partial fraction decomposition

• Cross-multiplication

• FOIL method

What is the result of applying the distributive property to the expression X * (X + 12)?

• 2X + 12

• X^2 + 24

• X^2 + 12X

• X^2 + 12

In solving the equation, what is the first step to get all X terms on one side?

• Multiply both sides by X

• Subtract X^2 from both sides

• Add X^2 to both sides

• Divide both sides by X

What is the value of X when the equation 4X = 12 is solved?

• X = 2

• X = 3

• X = 4

• X = 6