Which numbers are rational? Check all that apply. -19 0 1.091502.. 2.89
2 answers:
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Answer:
Cancellation it enables us to eliminate or get rid of one of the variables, so we can solve a more simplified equation.
Some textbooks refer to the elimination method as the addition method or the method of linear combination.
This is because we are going to combine two equations with addition!
Step 1
First, we align each equation so that like variables are organized into columns.
Step 2
Second, we eliminate a variable.
If the coefficients of one variable are opposites, you add the equations to eliminate a variable, and then solve.
If the coefficients are not opposites, then we multiply one or both equations by a number to create opposite coefficients, and then add the equations to eliminate a variable and solve.
Step 3
Thirdly, we substitute this value back into one of the original equations and solve for the other variable.
Example of how to apply the elimination method for solving systems of equations is attached.
Answer:
.
Step-by-step explanation:
Let the -coordinate of
be
. For
to be on the graph of the function
, the
-coordinate of
would need to be
. Therefore, the coordinate of
would be
.
The Euclidean Distance between and
is:
.
The goal is to find the a that minimizes this distance. However,
is non-negative for all real
. Hence, the
that minimizes the square of this expression,
, would also minimize
.
Differentiate with respect to
:
.
.
Set the first derivative, , to
and solve for
:
.
.
Notice that the second derivative is greater than for this
. Hence,
would indeed minimize
. This
value would also minimize
, the distance between
and
.
Therefore, the point would be closest to
when the
-coordinate of
is
.