Which statement accurately describes how adding a number, n, to the function f(x)=sin(x) affects its graph?
a. there is a vertical shift of n units.
b. the x-intercepts will shift n units.
c. there is a change in amplitude of n units.
d. the range will change by a factor of 2n units.

Driving 75 mph, it takes alicia 2 hours to reach the airport to go on a vacation. it then takes her 4 hours to get to her destination with the jet traveling at a speed of 400 mph. how many miles does alicia travel to get to her destination?

The table shows the number of hours orlando spent at football practice last week. select the appropriate numbers below to complete the model to find the number of hours orlando spent practicing on tuesday and friday.

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.