Explain why the function is discontinuous at the given number a. (select all that apply.) f(x) = x2 − 5x x2 − 25 if x ≠ 5 1 if x = 5 a = 5 lim x→5+ f(x) and lim x→5− f(x) are finite, but are not equal. f(5) is defined and lim x→5 f(x) is finite, but they are not equal. lim x→5 f(x) does not exist. f(5) is undefined. none of the above

Demonstrate the proof of your new polynomial identity through an algebraic proof and a numerical proof in an engaging way! make it so the whole world wants to purchase your polynomial identity and can't imagine living without it! you must: label and display your new polynomial identity prove that it is true through an algebraic proof, identifying each step demonstrate that your polynomial identity works on numerical relationships create your own using the columns below. see what happens when different binomials or trinomials are combined. square one factor from column a and add it to one factor from column b to develop your own identity. column a column b (x − y) (x2 + 2xy + y2) (x + y) (x2 − 2xy + y2) (y + x) (ax + b) (y − x) (cy + d)

Two lines parallel to a third line are parallel to each other. always sometimes or never

The distance of a chord from the centre of a circle is 12cm and the lenght of the chord is 10cm. find the radius of the circle