A candy company produces individually wrapped candies. The quality control manager for the company believes that the weight of t
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Answer:
Step-by-step explanation:
Look at the component form of each vector.
Note that vector c is <4,4> and vector d is <-2,-2>
If one imagined the line that contained each vector, the line for both would have a slope of 1, because
Since they have the same slope they are parallel, but since they are in opposite directions, we often call them "anti-parallel" (simply meaning parallel, but in opposite directions).
If two vectors are parallel, one vector can be multiplied by a scalar to result in the other vector. This means that there is some number "k", such that , or equivalently,
and
.
If and
, we just need to substitute known values and solve for k:
Double checking that k works for the y-coordinates as well:
?
So,
The simplified answer is .
<u>Step-by-step explanation:</u>
To add or subtract denominators of the fraction must be same.
If it is not the same, we must take LCM of the denominators. and so we can add the fractions.
To make the denominator same multiply the 1st term and 2nd term by
=
LCM of the denominators is 6x²+ 3xz + 2xy +yz.
Multiply the factors in the numerator.
=
Now, the denominators are same, you can subtract it.
=
=
Thus the simplified solution is