On the real number line below, with coordinates as labeled, an object moves according to the following set of instructions: From point P the object moves right to , then left to R, then right to S, and finally left until it returns to its original position at P. Which is the closest estimate of the total length, in coordinate units, of the movements this object makes?

(-9,7), (6,2) write an equation in point-slope form of the line that passes through the given points, then write the equation in slope-intercept form

Arandom sample of 100 children were asked whether they prefer apples or oranges. the results are shown in the table. apples oranges boys 27 18 girls 32 23 select a word or phrase from the drop-down menus to correctly complete the statements describing the association. of the boys surveyed, more . of the girls surveyed, more . there appear to be an association between gender and fruit preference.

Grace is standing 18 feet from a lighthouse and kelly is standing 10 feet from grace. the angle that grace looks up to see the top of the lighthouse is 45°. the angle that kelly looks up to see the top of the lighthouse is y°. find the height, h, of the lighthouse. find the angle, rounded to the nearest tenth of a degree, in which kelly looks up to the top of the lighthouse. to the nearest tenth of a degree, find the value of x° . in two or more sentences, explain your calculations