Acar is traveling on a road that goes up a hill. the hill has an angle of 17° relative to horizontal. how high up the hill vertically will the car be after it has traveled 100 yards up the road?

Parabolas y=−2x^2 and y=2x^2 +k intersect at points a and b that are in the third and the fourth quadrants respectively. find k if length of the segment ab is 5.

Prove the converse of the pythagorean theorem using similar triangles. the converse of the pythagorean theorem states that when the sum of the squares of the lengths of the legs of the triangle equals the squares length of the hypotenuse, the triangle is a right triangle. be sure to create and name the appropriate geometric figures.

Multiply: 2.7 × (–3) × (–1.2). a. –9.72 b. –10.8 c. 10.8 d. 9.72