A carpenter builds a rectangular bookcase that is 37 inches long and 60 inches tall. The carpenter uses two braces along the diagonals to support the bookcase. What is the length of the one of the braces, to the nearest tenth of a inch? Enter your answer, as a decimal, in the box.

∆abc is reflected across the x-axis and translated 2 units up to give the image ∆a'b'c' with coordinates a'(1, 1), b'(2, -1), c'(2, 1). what are the coordinates of the preimage ∆abc? a. a(-1, 1), b(-2, 3), c(-2, 1) b. a(1, 1), b(2, 3), c(2, 1) c. a(1, -3), b(2, -1), c(2, -3) d. a(1, -3), b(2, -5), c(2, -3)

Is the point (0, 8) on the x-axis or y-axis? how do you know?

Rewrite the following quadratic functions in intercept or factored form. show your work. y = 4x^2 - 19x- 5