Ineed with both questions #68 & #66

Here are two rules that you should memorize and/or write down in your notebook somewhere (or perhaps put it on a flashcard)

Rule #1: If the slopes of two lines are the same, but the y intercepts are different, then the two lines are parallel.

Rule #2: If the slope of the two lines multiply to -1, then the lines are perpendicular.

For problem 66, we see that the slopes 1/4 and 4 are not the same, and they also don't multiply to -1. One slope would have to be negative and the other positive for this happen. Therefore the answer to problem 66 is "neither"

The answer to problem 68 is "perpendicular" because the two slopes -4/5 and 5/4 multiply to -1 (we are using rule #2 in this case). One number is the negative reciprocal of the other. Basically you flip the fraction and flip the sign to go from -4/5 to 5/4 (or vice versa).

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

~