Find the value of (a + b)² given a² + b² = 29 and ab = 10.
Published on November 13, 2024
Algebra
To find (a+b)^2, given a^2 + b^2 = 29 and ab = 10, substitute the given values into the equation (a+b)^2 = a^2 + 2ab + b^2, resulting in (a+b)^2 = 49.
Published on November 13, 2024
To find (a+b)^2, given a^2 + b^2 = 29 and ab = 10, substitute the given values into the equation (a+b)^2 = a^2 + 2ab + b^2, resulting in (a+b)^2 = 49.
To find x, supplementary angles 5x and 4x are used, along with the fact that the sum of the interior angles of a quadrilateral is 360 degrees. Solving the equation 9x = 180 yields x = 20.
The area of the region defined by the inequalities y ≥ x, y > -x + 1, and y < 10 is 90.25 square units.