Suppose that the foci of an ellipse are p(−1,0) and p(1,0) and that the point p(x, y) satisfies the condition p=4.
a. derive an equation of an ellipse with foci p and p that passes through p. write your answer in standard form: (x^2)/(a^2/)+y^2/ b^2=1.
b. sketch the graph of the ellipse defined above..
c. verify that the x-intercepts of the graph satisfy the condition p+p=4.
d. verify that the y-intercepts of the graph satisfy the condition p+p=4.

The weights of players in a basketball league are distributed normally. the distance (d) of each player's weight (w) from the mean of 86 kilograms was computed as follows: d = |w - 86| if d is greater than 7 for approximately 5% of the players, what is the approximate standard deviation of the players' weights? a. 1.75 kilograms b. 3.5 kilograms c. 4.3 kilograms d. 7 kilograms

Amanager recorded the number of bicycles sold by his company each quarter. his projected sales after t years is given by the expression below. which of the following statements best describes the expression? a. the initial sales of 575 bicycles increases at the rate of 4% over 4 quarters. b. the initial sales of 575 bicycles increases at the rate of 18% over 4 years. c. the initial sales of 575 bicycles increases at the rate of 4% over t quarters. d. the initial sales of 575 bicycles increases at the rate of 18% over t years.

Hey hotel charges guests $19.75 a day to rent five video games at this rate which expression can be used to determine the charge for renting nine video games for one day at this hotel? pls