Question

Will give brainliest to correct answer.

Answer 1

Use Pythagorean's Theorem to solve for c.  $c^2=(2 \sqrt{x^2+3x})^2+(3)^2$.  We will simplify the right side by squaring both terms.  $c^2=4(x^2+3x)+9$  which simplifies even further to  $c^2=4x^2+12x+9$.  In that polynomial, the leading coefficient, 4, is a perfect square, and so is the constant at the end, 9.  So that polynomial is the sum of perfect squares.  It will break down like this:  $c^2=(2x+3)^2$  so then taking the square root of both sides gives us that c = 2x + 3, choice on the top right.

Answer 2

The correct answer would be C=2x+3