5. Two dimensions of a right triangle are 5 units and 13 units. A student
writes the equation 52 + 132 = c to find the length of the third side.
a. If all the side lengths are integers, is the student's equation
correct? Explain.
b. If the student is incorrect, write an equation that will give the length
of the third side, and show that the equation is correct.

Graph red beads cost $1 an ounce and gold beads cost $3 an ounce. juanita wants to purchase a 12-ounce mixture of red and gold beads that she can sell for $2 an ounce. the solution of the system shows the number of beads needed for juanita to break even. x + y = 12, x + 3y = 24 how many ounces of red beads will juanita buy to break even? how many ounces of gold beads will she buy?