Me : ( the distance between two points, a and b, on a number line is expressed as |a – b|, where a and b are rational numbers. think about locating a point halfway between a and b on a number line. how can you find the coordinate for such a point? develop a formula in terms of a and b that you can use to find the coordinate. your formula must work for positive and negative values of a and b. does absolute value play a role in your formula? why or why not? under what circumstances might your formula be used in the real world? explain. discuss how you can find the coordinate of a point located other fractional distances from a to b (or from b to a). for example, locate a point three-fourths of the distance from a to b. what kind of calculation is involved?

The value √10 and √15 are plotted on the number line

The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. complete parts (a) and (b) below. business degrees nonbusiness degrees total male 189131 634650 823781 female 169539 885329 1054868 total 358670 1519979 1878649 (a) find the probability that a randomly selected student is male, given that the student received a business degree. the probability that a randomly selected student is male, given that the student received a business degree, is nothing. (round to three decimal places as needed.) (b) find the probability that a randomly selected student received a business degree, given that the student is female. the probability that a randomly selected student received a business degree, given that the student is female, is nothing. (round to three decimal places as needed.)

Which statement explains how you could use coordinate geometry to prove the opposite sides of a quadrilateral are congruent? a. use the slope formula to prove the slopes of the opposite sides are the same. b. use the slope formula to prove the slopes of the opposite sides are opposite reciprocals. c. use the distance formula to prove the lengths of the opposite sides are the same. d. use the distance formula to prove the midpoints of the opposite sides are the same.