Question

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Answer 1

Answer:

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 =  $\sqrt{2^{2} +5^{2} }$ = $\sqrt{29}$  and 2(AD) = AB

AB = 2*$\sqrt{29}$  ( 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. = $\sqrt{(3-(-3))^{2} +(1-4)^{2} }$

Dist. =$\sqrt{45}$   = $\sqrt{9*5}$  = 3$\sqrt{5}$ ( exact answer leave the square root )

CD = 3$\sqrt{5}$

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  $\frac{1}{3}$ * $3\sqrt{5}$   is the distance from D to the centroid or $\sqrt{5}$

also b/c I happen to know.. :/    c = $\sqrt{1^{2}+ 2^{2} }$ = $\sqrt{5}$  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)