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 = [tex]\sqrt{2^{2} +5^{2} }[/tex] = [tex]\sqrt{29}[/tex] and 2(AD) = AB
AB = 2*[tex]\sqrt{29}[/tex] ( 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. = [tex]\sqrt{(3-(-3))^{2} +(1-4)^{2} }[/tex]
Dist. =[tex]\sqrt{45}[/tex] = [tex]\sqrt{9*5}[/tex] = 3[tex]\sqrt{5}[/tex] ( exact answer leave the square root )
CD = 3[tex]\sqrt{5}[/tex]
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 [tex]\frac{1}{3}[/tex] * [tex]3\sqrt{5}[/tex] is the distance from D to the centroid or [tex]\sqrt{5}[/tex]
also b/c I happen to know.. :/ c = [tex]\sqrt{1^{2}+ 2^{2} }[/tex] = [tex]\sqrt{5}[/tex] 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)
