Two right triangles are graphed on a coordinate plane. one triangle has a vertical side of 2 and a horizontal side of 6. the other triangle has a vertical side of 10 and a horizontal side of 30.

could the hypotenuses of these two triangles lie along the same line?

no, because they are not similar triangles
no, because one is larger than the other
yes, because they are both right triangles
yes, because they are similar triangles

Based on the situation in part a, the width of a rectangular garden is x feet, and its length is 5 feet more than twice its width. the right side of the equation, g(x) = 2x2 − 13x + 6, can be factored to g(x) = (2x − 1)(x − 6). this function could represent an inner region of the garden from the first equation, such as a vegetable garden with a border around it. the length of this inner garden would be 2x − 1 feet, and the width would be x − 6, which would leave a 3-foot border around the garden. part d what is the value of g(8) for the function g(x) in part c? what does this value mean in the context of the situation you described in part c?