Show work for brainliest. ok? a telescope is built using a hyperbolic mirror modeled by the equation (x^2)/(400) + (y^2)/(144) = 1, and a parabolic mirror that opens downward. the parabola has the vertex (-1,-4) and shares a focus with the hyperbola. what are the coordinates of the focus they share?

The area of square garden is 300m squared. how long is the diagonal?

Moira has a canvas that is 8 inches by 10 inches. she wants to paint a line diagonally from the top left corner to the bottom right corner. approximately how long will the diagonal line be?

Set $r$ is a set of rectangles such that (1) only the grid points shown here are used as vertices, (2) all sides are vertical or horizontal and (3) no two rectangles in the set are congruent. if $r$ contains the maximum possible number of rectangles given these conditions, what fraction of the rectangles in set $r$ are squares? express your answer as a common fraction.