whether the transverse axis is horizontal 37. 81y² - x² + 486y - 8x + 632 = 0

Peggy is making a quilt using panels that are - foot by - foot. The quilt is 3- feet long and 4 feet wide. Let each square of the grid below represent - foot by - foot. Draw a rectangle on the grid that represents the quilt. Start the bottom left corner on (0, 0) with the length of the quilt vertical and the width of the quilt horizontal. Left side Top side Right side Bottom side 00 00

Solve. 3x - 12 + 9x = 3(6x - 6) +3

Represent the number you would have to add to an expression of the form x2+bx to make a complete square

Complete the square to form a true equation. x2 - 2x + = (x-_)2

A walkway of a park has the shape of a right triangle with three side lengths x, x + 70, x + 80. Find the perimeter of the right triangle.

Express y=-2x2+6x+12 in completing the square form. Hence, find the maximum/minimum values of each expression and the corresponding value of x for which this occurs and also state the axis of symmetry.

Make a change of variable, x = Py, that transforms the quadratic form x? + 10xjx2 +x; into a quadratic form with no cross-product term. Give P and the new quadratic form.

Solve in 10 minutes

Subtract. (5x° - 4x? + 5x - 7) - (3x³ - 6x - 3x + 3) (5x° - 4x2 + 5x - 7) - (3x° - 6x² - 3× + 3) = (Simplify your answer. Use integers or fractions for any numbers in the expression.)