Use the transformation u equals4 x plus 2 y, vequalsx plus 2 y to evaluate the given integral for the region r bounded by the lines y equals negative 2 x plus 3, y equals negative 2 x plus 4, y equals negative one half x , and y equals negative one half x plus 2 .

He that is measured at 220° is a reflex angle. the opposite angle is obtuse. find the measure of obtuse .

Kayla wants to find the width, ab, of a river. she walks along the edge of the river 65 ft and marks point c. then she walks 25 ft further and marks point d. she turns 90° and walks until her location, point a, and point c are collinear. she marks point e at this location, as shown. (a) can kayla conclude that δ and δ are similar? why or why not? (b) suppose de = 15 ft. what can kayla conclude about the width of the river?

Lin is writing an equation to model the proportional relationship between y, the total cost in dollars of downloading videos from a website, and x, the number of videos downloaded. she knows that the total cost to download 3 videos was $12. her work to find the equation is shown below. joylin’s work step 1 k= 3/12= 0.25 step 2 y= 0.25x where did joylin make her first error?