Emily made a sketch of an octogonal window on a 27-inch square piece of paper. first she cut four identical isosceles triangles from the corners of the paper. then she cut a square from the center of the octagon. each leg of a cut off triangle in 1/3 the length of the paper. the dude length of the cut out square is also 1/3 the length of the paper. what’s the area of the sketch after she removed he triangles and the square?

When you arrive at the lake, your friend realises he hasn’t got any swimming trunks. you need to ride to a sports shop. the sports shop is 8350 metres away. how many metres is it to cycle there and back?

Find the slope of the line below . enter your answer as a fraction or decimal. use a slash mark ( / ) as the fraction bar if necessary

Is there a direction u in which the rate of change of f(x,y)equals=x squared minus 3 xy plus 4 y squaredx2−3xy+4y2 at p(1,2) equals 14? give reasons for your answer. choose the correct answer below. a. no. the given rate of change is smaller than the minimum rate of change. b. no. the given rate of change is larger than the maximum rate of change. c. yes. the given rate of change is larger than the minimum rate of change and smaller than the maximum rate of change.