Which is the equation of a hyperbola with directrices at x = ±2 and foci at (5, 0) and (−5, 0)?

y squared over 40 minus x squared over 10 equals 1
y squared over 10 minus x squared over 15 equals 1
x squared over 10 minus y squared over 40 equals 1
x squared over 10 minus y squared over 15 equals 1

Jonah buys a television that costs $445. sales tax in his state is 7 percent. which of the following expressions represent the amount of tax on the television?

Luigi is the first person to finish a 5k race and is standing 13 feet beyond the finish line. another runner, mario, is still running the race and has approximately 24 feet before he reaches the finish line. what is the distance between mario and luigi? explain through words, numbers or pictures how you found the answer.

Enter the amplitude of the function. f(x)=3cosx