6x-21>3
Add 21 to both sides
6x>24
Divide 6 on both sides
X>4
14x+11>-17
Subtract 11 from both sides
14x>-28
Divide 14 on both sides
X<-2
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:
No
Step-by-step explanation:
The slope of the equation is y = 2x + 3 is 2.
Find the slope of the points.
m = y₂ - y₁ / x₂ - x₁
m = 1 - 7 / 1 - (-2)
m = -6 / 3
m = -2
The same slope will happen if you also calculate for the third point.
As you can see. The slopes are not the same for one is rising (positive) while the other is fall (negative).
Answer:
6.7 times 6.7
Step-by-step explanation:
Rewrite the first function so that the two functions are in standard form:
y - 3 = -2x - 8 => y = 3 - 2x - 8 => y = -2x - 5
and
y= -2x - 5
We can now see immediately that these two functions have the same slope (-2) and same y-intercept (providing that you meant "y = -2x - 5).
The graphs of these 2 functions are identical.