Ralph, the world's most athletic dog just set the world record at the Dog Olympic Games (DOG). Ralph took a running jump, and barely cleared a 12 foot wall of flames. He landed exactly 20 ft on the other side of the wall of flames. Write the exact equation of the parabolic path that Ralph took when he cleared the wall of flame. The "A" value should either be a whole number or a decimal.

In the figure below, ∠dec ≅ ∠dce, ∠b ≅ ∠f, and segment df is congruent to segment bd. point c is the point of intersection between segment ag and segment bd, while point e is the point of intersection between segment ag and segment df. the figure shows a polygon comprised of three triangles, abc, dec, and gfe. prove δabc ≅ δgfe.

Atriangle has a side lengths of 18cm, 80 cm and 81cm. classify it as acute obtuse or right?

The table below represents the displacement of a fish from its reef as a function of time: time (hours) x displacement from reef (feet) y 0 4 1 64 2 124 3 184 4 244 part a: what is the y-intercept of the function, and what does this tell you about the fish? (4 points) part b: calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points) part c: what would be the domain of the function if the fish continued to swim at this rate until it traveled 724 feet from the reef? (2 points)