Answer:
The correct answer would be negative 1 over 6 also written as -1/6
Step-by-step explanation:
HAVE A GOOD DAY!
Answer: 8.29 still...
Step-by-step explanation:
When your doing the nearest hundreth, the thousandth has to be close to 10 to make it a diffrent number, if it WAS, then it would be 8.30
First you'll have to bring the equation in form y = mx + b.
4y = -x - 32
y = -1/4 x - 8
So the slope is -1/4 and y-intercept is -8
Hope this helps :)
The contestants total number of points is 20.
30 + 15 = 45
45 - 25 = 20 total points
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.
