Find the volume of the tetrahedron with the given vertices. (2, 0, 0), (0, 4, 0), (0, 0, 4), (2, 4, 4)
Katarina [22]
Answer:
The volume of the tetrahedron is
Step-by-step explanation:
To find the volume of a tetrahedron with vertices (2, 0, 0), (0, 4, 0), (0, 0, 4), (2, 4, 4).
We know by definition that the volume of a tetrahedron with vertices 
is
From here we have:
Finding the determinant of that matrix we have:
=
Answer:
n = 3
Step-by-step explanation:
-18 = -6n - 6 + 2n
-18 = -6n +2n -6 (Combine like terms)
-18= -4n -6
-18+6= -4n -6+6 (Addition Property of Equality)
-12 = -4n
-12/-4 = -4n/-4 (Division Property of Equality)
3=n
The value of 'n' is 3.
Answer:
y=-3x+10
Step-by-step explanation:
Slope formula y2-y1/x2-x1
7-1/1-3
simplify
6/-2
simplify
-3
now plug -3 into y=mx+b
y=-3(x)+b
choose any point and plug it into the equation, I am using (3,1)
1=-3(3)+b
simplify
1=-9+b
add 9 to both sides
b=10
plug into slope-intercept form
y=-3x+10
Could you give me the answer options so I could give you the correct answer?
