Write the equation and find the foci of the ellipse with the given vertices. (1, 2), (1, −4), (−2, −1), and (4, −1).

Landon wallin is an auto mechanic who wishes to start his own business. he will need $4400 to purchase tools and equipment. landon decides to finance the purchase with a 48-month fixed installment loan with an apr of 5.5%. a) determine landon's finance charge. b) determine landon's monthly payment.

Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.1. (round your answers to four decimal places.) (a) if the distribution is normal, what is the probability that the sample mean hardness for a random sample of 8 pins is at least 51?

Mis the midpoint of rq if rm equals 2x + 5 and mq equals 4x - 9 what is the length of rq