Subtract 6 6 from both sides of the equation. x 2 − 7 x = − 6 x 2 - 7 x = - 6 To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b b . ( b 2 ) 2 = ( − 7 2 ) 2 ( b 2 ) 2 = ( - 7 2 ) 2 Add the term to each side of the equation. x 2 − 7 x + ( − 7 2 ) 2 = − 6 + ( − 7 2 ) 2 x 2 - 7 x + ( - 7 2 ) 2 = - 6 + ( - 7 2 ) 2 Simplify the equation. Tap for more steps... x 2 − 7 x + 49 4 = 25 4 x 2 - 7 x + 49 4 = 25 4 Factor the perfect trinomial square into ( x − 7 2 ) 2 ( x - 7 2 ) 2 . ( x − 7 2 ) 2 = 25 4 ( x - 7 2 ) 2 = 25 4 Solve the equation for x x . Tap for more steps... x = 6 , 1
Hi there! Reflections across the line y = -x always go by the rule (-y, -x). We can use this rule to get our answer here. We are given the aftermath of the reflection coordinates, which are <span>A'(-1, 1), B'(-2, -1), and C'(-1, 0). All we have to do now is switch up the coordinate values and multiply them by -1. Here is the work - A'(-1, 1) => (1, -1) => x -1 => A(-1, 1) B'(-2, -1) => (-1, -2) => x -1 => B(1, 2) C'(-1, 0) => (0, -1) => x -1 => C(0, 1) Therefore, the coordinates of Triangle ABC are A(-1, 1); B(1, 2); C(0,1). Hope this helped and have a phenomenal day!</span>
