Answer:
The graph in the attached figure
Step-by-step explanation:
we have
x < -1
The solution is the interval ----> (-∞,-1)
All real numbers less than -1
On a number line the solution is the shaded area at the left of x=-1 (open circle)
using a graphing tool
see the attached figure
You mean their sum is 12?
A) x + y = 12
B) x -y = 4 then we add both equations:
2x = 16
x = 8
y = 4
Answer:
question no proper plz give question in right way
Answer:
It is D
Step-by-step explanation:
The cross product of the normal vectors of two planes result in a vector parallel to the line of intersection of the two planes.
Corresponding normal vectors of the planes are
<5,-1,-6> and <1,1,1>
We calculate the cross product as a determinant of (i,j,k) and the normal products
i j k
5 -1 -6
1 1 1
=(-1*1-(-6)*1)i -(5*1-(-6)1)j+(5*1-(-1*1))k
=5i-11j+6k
=<5,-11,6>
Check orthogonality with normal vectors using scalar products
(should equal zero if orthogonal)
<5,-11,6>.<5,-1,-6>=25+11-36=0
<5,-11,6>.<1,1,1>=5-11+6=0
Therefore <5,-11,6> is a vector parallel to the line of intersection of the two given planes.
