Answer:
16/3 or 5.3 recurring
Step-by-step explanation:
-8 times -2/3 is 16/3, and 16/3 is 5.3 recurring
Answer:
2(8w + 1)
Step-by-step explanation:
Look on either side of the plus sign. What ever you see that is common is a common factor. In this case it is also the greatest common factor.
2 appears on both sides of the plus sign.
2(16w/2 + 2/2)
C! Like terms refer to the variables that are the same, rather than the coefficients (the numbers).
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.
can be simplified to by adding the 7 and 10 to get
.
cannot be simplified any more by combining like terms.
By distributing the 2b into the parentheses, you can simplify the expression:
Here you can just add:
Thus, the only expression that cannot simplify any more using adding like terms is the second,
.
