A circle is defined by the equation: x^2 + y^2 - x - 2y - 11/4 = 0. Determine the coordinates for the center of the circle and the length of the radius.

Jean drove 68 miles per hour for a total of 476 miles on a trip. She used the equation blow to calculate the time, t, it would take her to complete the trip. 476 = 68t

It takes 48 minutes for Mickey to walk 6 laps around the park. How many minutes does it take Mickey to walk 1 lap?

What is the slope of the line through (-7,-8) and (0,4) your answer must be exact

An oblique hexagonal prism has a base area of 42 square cm. the prism is 4 cm tall and has an edge length of 5 cm. what is the volume of the prism?

The equation shown below involves a perfect square trinomial. 4x2 + 20x + 25 = 7 Which of the following is a step in solving this equation? A. Take the square root of both sides B. Subtract 25 from both sides C. Square both sides D.

Suppose a house that costs $270,000 appreciates by 5% each year. In about how many years will the house be worth $350,000? Use the equation 350 = (270) (1.05) x and round the value of x to the nearest year.

Write a function for p (x), the profit from selling x hats

You are a college freshman and have a credit card. you immediately purchase a television set for $1200. your credit limit is $2000. lets assume that you make no payments and purchase nothing more and there are no other fees.

the height of a right cylinder is 6r, where r is the radius. Write a function f in simplest form that represents the ratio of the surface area to the volume

Egiht hundred trillion, fifty-two million, four hundred in digit