If m and n are two positive real numbers whose product is 10, what is the minimum value of m + 2n
2 + 2(4)
It would be the second answer. He starts with 2/3 cup, then take out 2 1/6 cup amounts, which make 2/6 cup. Since he's taking it out, you would subtract it from the original value. So you would get 2/3 cup minus 2/6 cup and to make the denominators equal you would multiply 2/3 cup by 2, so you would have 4/6 cup minus 2/6 cup which equals 2/6 cup.
Since this is a right triangle, use the Pythagorean Theorem to find c.
Pythagorean Theorem ⇒ a² + b² = c², where a and b are the legs and c is the hypotenuse.
Plug in 10 and 24 for the legs and c for the hypotenuse.
10² + 24² = c²
100 + 576 = 676
√676 = 26
c = 26
