Kareem wants to put up a small corner shelf in his room. The shelf is in the shape of a right triangle. One leg of the triangle is2inches shorter than the other. The longest side of the shelf is10inches long. Kareem needs to find the area of the shelf so that he knows if he has enough paint to cover the top of the shelf. He has enough paint to cover23square inches. a. Let the length of the long leg of the triangle equalx. How can the length of the short leg be expressed in terms ofx?b. How can the Pythagorean Theorem help us to relate the lengths of all three sides of the triangular shelf?c. How can the equation be simplified and set equal to0?d. How can the quadratic expression be rewritten in factored form?e. How can the Zero Product Property help us to solve the factored equation?f. Do both of the answers make sense as side lengths?g. What are the lengths of the two legs of the triangle?h. What is the area of the shelf?i. Does Kareem have enough paint?

Which linear inequality is represented by the graph?

(c) compare the results of parts (a) and (b). in general, how do you think the mode, median, and mean are affected when each data value in a set is multiplied by the same constant? multiplying each data value by the same constant c results in the mode, median, and mean increasing by a factor of c. multiplying each data value by the same constant c results in the mode, median, and mean remaining the same. multiplying each data value by the same constant c results in the mode, median, and mean decreasing by a factor of c. there is no distinct pattern when each data value is multiplied by the same constant. (d) suppose you have information about average heights of a random sample of airline passengers. the mode is 65 inches, the median is 72 inches, and the mean is 65 inches. to convert the data into centimeters, multiply each data value by 2.54. what are the values of the mode, median, and mean in centimeters? (enter your answers to two decimal places.) mode cm median cm mean cm in this problem, we explore the effect on the mean, median, and mode of multiplying each data value by the same number. consider the following data set 7, 7, 8, 11, 15. (a) compute the mode, median, and mean. (enter your answers to one (1) decimal places.) mean value = median = mode = (b) multiply 3 to each of the data values. compute the mode, median, and mean. (enter your answers to one (1) decimal places.) mean value = median = mode = --

Select the correct answer and solve for y