The foundation for a new building at the high school is rectangular in shape. The area of the foundation is 5x3+4x2 - 10x - 8 square meters.

If the width equals (x2 - 2) meters. What is the length of the rectangular foundation?

("Hint: factor by grouping)

Find the equation of the ellipse with the following properties. the ellipse with foci at (0, 6) and (0, -6); y-intercepts (0, 8) and (0, -8).edit: the answer is x^2 over 28 + y^2 over 64 = 1

Afactory buys 10% of its components from suppliers b and the rest from supplier c. it is known that 6% of the components it buys are faulty. of the components brought from suppliers a,9% are faulty and of the components bought from suppliers b, 3% are faulty. find the percentage of components bought from supplier c that are faulty.

What is the area of the shaded sector?