Answer:
this triangle is ABC with A(-2 ; -3), B(4; - 3) and C(3;5)
=> ![AB=\sqrt{(4-(-2))^{2}+\sqrt{(-3 -(-3))^{2} } }=\sqrt{6^{2} }=6\\\\AC=\sqrt{(3-(-2))^{2}+(5-(-3))^{2} }=\sqrt{5^{2}+8^{2} }=\sqrt{89}\\\\BC =\sqrt{1^{2}+8^{2} }=\sqrt{65}](https://tex.z-dn.net/?f=AB%3D%5Csqrt%7B%284-%28-2%29%29%5E%7B2%7D%2B%5Csqrt%7B%28-3%20-%28-3%29%29%5E%7B2%7D%20%7D%20%20%7D%3D%5Csqrt%7B6%5E%7B2%7D%20%7D%3D6%5C%5C%5C%5CAC%3D%5Csqrt%7B%283-%28-2%29%29%5E%7B2%7D%2B%285-%28-3%29%29%5E%7B2%7D%20%20%7D%3D%5Csqrt%7B5%5E%7B2%7D%2B8%5E%7B2%7D%20%20%7D%3D%5Csqrt%7B89%7D%5C%5C%5C%5CBC%20%3D%5Csqrt%7B1%5E%7B2%7D%2B8%5E%7B2%7D%20%20%7D%3D%5Csqrt%7B65%7D)
using Heron theorem, we have:
![S=\sqrt{p(p-AB)(p-AC)(p-BC)}\\\\S=\sqrt{(\frac{6+\sqrt{89}+\sqrt{65} }{2})(\frac{\sqrt{89}+\sqrt{65}-6 }{2} )(\frac{6+\sqrt{65}-\sqrt{89} }{2})(\frac{6+\sqrt{89}-\sqrt{65} }{2}) }\\\\S=24 \\\\](https://tex.z-dn.net/?f=S%3D%5Csqrt%7Bp%28p-AB%29%28p-AC%29%28p-BC%29%7D%5C%5C%5C%5CS%3D%5Csqrt%7B%28%5Cfrac%7B6%2B%5Csqrt%7B89%7D%2B%5Csqrt%7B65%7D%20%7D%7B2%7D%29%28%5Cfrac%7B%5Csqrt%7B89%7D%2B%5Csqrt%7B65%7D-6%20%20%7D%7B2%7D%20%29%28%5Cfrac%7B6%2B%5Csqrt%7B65%7D-%5Csqrt%7B89%7D%20%20%7D%7B2%7D%29%28%5Cfrac%7B6%2B%5Csqrt%7B89%7D-%5Csqrt%7B65%7D%20%20%7D%7B2%7D%29%20%20%20%7D%5C%5C%5C%5CS%3D24%20%20%5C%5C%5C%5C)
with S is the area of the triangle
![p=\frac{AB+AC+BC}{2}=\frac{6+\sqrt{89}+\sqrt{65} }{2}](https://tex.z-dn.net/?f=p%3D%5Cfrac%7BAB%2BAC%2BBC%7D%7B2%7D%3D%5Cfrac%7B6%2B%5Csqrt%7B89%7D%2B%5Csqrt%7B65%7D%20%20%7D%7B2%7D)
Step-by-step explanation:
Answer:
the answer is 6x^2
Step-by-step explanation:
goodluck
Answer:
they r all multiple by 3
Step-by-step explanation:
2×3=6
4×3=12
6×3=18
8×3=24
10×3=30
Answer:
9-4x is simplified
Step-by-step explanation:
hope this helps
Answer:
150.72
Step-by-step explanation:
The volume of a cylinder is 2πrh. We have r = 3 and h = 8 so volume is 48π or 150.72.