Find the focus F and the equation of the directrix d of each parabola if its vertex is at the origin.
a. y^2 = 6x
b. y^2= -2/3x
c. 5y^2 – 3x = 0
d. x^2 = –36y
e. x^2 = –y
f. 2x^2 – 9y = 0

What is the rate of change of a line that passes through (2,-5) and (6,-2)?

Three baby penguins and their father were sitting on an iceberg 0.50.50, point, 5 meters above the surface of the water. the father dove down 4.74.74, point, 7 meters from the iceberg into the water to catch dinner for his kids. what is the father penguin's position relative to the surface of the water?

The price of a visit to the dentist is calculated according to the formula 50+100n50+100n where nn is the number of cavities the dentist finds. on your last visit to the dentist, 22 cavities were found. what was the cost of your visit?