1.6 not sure if it’s correct but I hope I helped
Answer:
<em>(8.21, -20.79)</em>
Step-by-step explanation:
Given the simultaneous equation;

From 2;
a = 29 + b ....3
Substitute 3 into 1;

Factorize
b = -18±√18²-4(-58)/2
b = -18±√324+232/2
b = -18±√556/2
b = -18±23.58/2
b = -18-23.58/2 and -18+23.58/2
b = -41.58/2 and 5.58/2
b = -20.79 and 2.79
Since a = 29 + b
when b = -20.79
a = 29 - 20.79
a = 8.21
<em>Hence the solution to the system of equation is (8.21, -20.79)</em>
We know from Euclidean Geometry and the properties of a centroid that GC=2GM. Now GM=sin60*GA=

. Hence CM=GC+GM=3*

. Now, since GM is normal to AB, we have by the pythagoeran theorem that:

Hence, we calculate from this that AC^2= 28, hence AC=2*

=BC. Thus, the perimeter of the triangle is 2+4*

.
Answer:
5. C - 180ft²
6. D - 120m³
Step-by-step explanation:
5.
(6.5 x 11) = 71.5
(6 x 2.5) = 15
(6 x 11) = 66
(2.5 x 11) = 27.5
6.
((7.5 x 4)/2)(8) = 120