3.
show that the equation of the tangent line to the circle x^2 + y^2 = r^2 at the point (x1.y1) on the circle is
given by
x1x + y1y = r^2

Determine whether the set of whole numbers is closed under addition. explain why the set is or is not closed. give an example.

Jessica and martha each have a bag of cookies with unequal quantities. they have 30 cookies total between the two of them. each of them ate 6 cookies from their bag. the product of the number of cookies left in each bag is not more than 80. how many more cookies will jessica have martha? if x represents the number of cookies jessica started with, complete the statements below.the inequality that describes the relationship between the number of cookies each one of them has is x^2 - x +224 > = 0.jessica has at least cookies more than martha.

What is the distance from (–3, 1) to (–1, 5)? round your answer to the nearest hundredth. (4 points) a. 3.60 b. 4.12 c. 4.47 d. 5.66