I 15. Find the coordinates of D, the midpoint of AB.
16. Find the length of the median CD.
17. Find the coordinates of the centroid. Label this point as G.

Step-by-step explanation:

15)  point D=(3,1)

for AB we can see that there is an exact triangle of 2 and 5

so AD =   =  and 2(AD) = AB

AB = 2*  ( this is an exact answer, leave it with the square root)

16) find CD  length  we know the points at each end so use the distance formula  P1=(-3,4)  P2=(3,1)

Dist. =

Dist. =   =  = 3 ( exact answer leave the square root )

CD = 3

17)  1/3 of the way along CD from D towards C is where the centroid is.. I just happen to know that from doing this too often.  :/

so that mean   *   is the distance from D to the centroid or

also b/c I happen to know.. :/    c = =  off the top of my head I can see that the point (1,2) is our centroid for this object.. they made it really easy  ... okay..  relatively easy. .:D  

Centroid = (1,2)

a) 0.25x times 3. (could be wrong on equation.)

b) 2.25 pound of dark chocolate. (can i eat all the chocolate? plz? anyway, again, could be wrong, but i hope im right. all the chocolate together should be 5.25 pounds)

have a good day!

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.

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