Compute the distance between (7,-4,9) and (x, y,z).
a. (7 + x)2 + (-4 + y)2 + (9 + 2)2
b. (7 - x)2 + (-4 - y)2 + (9 - 2)2
C.
d.
7- x) + (-4-y) + (9 -23
(7+ x)2 + (-4+ y)2 + (9+ 2)2

The average number of vehicles waiting in line to enter a parking lot can be modeled by the function f left parenthesis x right x squared over 2 left parenthesis 1 minus x right parenthesis endfraction , where x is a number between 0 and 1 known as the traffic intensity. find the rate of change of the number of vehicles waiting with respect to the traffic intensity for the intensities (a) xequals0.3 and (b) xequals0.6.

Question 10 of 211 pointuse the elimination method to solve the system of equations. choose thecorrect ordered pair.10x +2y = 643x - 4y = -36a. (4,12)b. (-3, 11)c. (2,10)d. (-5, 8)

Use mathematical induction to prove the statement is true for all positive integers n, or show why it is false. 1^2 + 4^2 + 7^2 + + (3n - 2)^2 = [n(6n^2-3n-1)/2]