Answer:
Step-by-step explanation:
A vector perpendicular to the plane ax+by+cz+d=0 is of the form 
.
So, a vector perpendicular to the plane x − y + 2z = 7 is 
.
The parametric equations of a line through the point 
and parallel to the vector are as follows:
Put 
and 
Therefore,
xy-plane:
Put z = 0 ⇒ t = -2 ⇒x = - 1 , y = 6
So, at point (-1,6,0)
yz-plane:
Put x = 0 ⇒ t = -1 ⇒ y = 5, z =2
So, at point (0,5,2)
xz-plane:
Put y = 0 ⇒ t = 4 ⇒ x = 5, z = 12
So, at point (5,0,12)
Answer:
Multiply 9 by 6
Step-by-step explanation:
7:9 is the ratio
We multiply the first term by 6.
What we do to one side, we do to the other
7*6=42
9*6 = 54
That way we keep the ratio in the same proportion
42:54
Let's remember the equation for the volume of a cube:
V= x^3 where x is the length of one side
Since a cube has equal length for length, width, and height.
Now, use what you're given
V= 1331
And put that in terms of x
x^3 = 1331
Now solve for x!
x= cube root (1331)
Think about it! cube root of 1331 * cube root of 1331 * cube root of 1331... will equal 1331 m^3!
Hope this helps
Answer:
about 2000 years or 23999.97 months
Step-by-step explanation:
1,000,000 / 500
