Pythagorean Theorem<h2>
Verbally:</h2>
Let's say a and b are the legs, and c is the hypotenuse. Then, algebraically, the theorem is,
The area of a rectangle is it's length times it's height. We are given polynomials for these values, so we can multiply them using the FOIL method to find the area.
FOIL stands for Firsts, Outers, Inners, Lasts. This means we multiply the first term of each polynomial together, the outer terms together, the inner terms together, and the last terms together.
(2x+5)(x-2)
The first terms are 2x and x, the outer terms are 2x and -2, the inner terms are 5 and x, and the last terms are 5 and -2:
2x^2 - 4x +5x - 10
Combine like terms:
2x^2 + x - 10
The third option is the correct answer.
I think 175 miles.
Since 1 = 50 miles and the cities are 3 1/2 miles apart, all you need to do is multiply 50 x 3 which is 150. Then you need to solve the 1/2, which 1/2 of 50 is 25. 150+25 is 175. So the answer is 175 miles.
