75+ points for best 2 answers!

1. points ρ(6, 0, 4), q(3, 2, 1), and r are collinear such that pq = qr.

what are the coordinates of point r?

a. (1, -2, 0)

b. (4, 1, -3)

c. (0, 4, -2)

d. (-3, 2, -3)

2. what is the longest stick that can be placed in a box 16 cm long, 20 cm wide, and 60 cm high?

(this confused me at first because i thought the stick was being placed horizontally. i don't know for sure but i think they meant vertically, so my guess below.)

a. 60 cm < guess

b. 65 cm

c. 72 cm

d. 69 cm

answer: h

step-by-step explanation:

529 and 531

step-by-step explanation:

m∠a is 90°

m∠b is 40°

if gloria has "carry over" minutes, (that is, any minutes paid for but not used in a month can be applied to her payment for minutes in the next month,) her total usage for the three months is: total minutes = 320 + 243 + 489 = 1052 minutes number of 200 minute blocks = 1052/200 = 5 r52 (that is 5 with a remainder of 52) rounding up the number of 200 minute blocks gives her usage for the three months as 6 blocks. the cost for six blocks is 6 x $25 = $150 she also has 200 - 52 or 148 carry over minutes if gloria pays each month and unused minutes are lost, applying the rounding up procedure to each month gives: first month usage of 320 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 second month usage of 243 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 third month usage of 489 minutes rounds up to 3 blocks of 200 minutes for a payment of 3 x $25 = $75 total payments for the three months are $50 + $50 + $75 = $175 get the plan with carry over minutes!