Part A : Substitution
Elimination
Argumentated matrices.
Part B :
1. Substitution is a method of solving systems of equations by removing all but one of the variables in one of the equations and then solving that equation. This is achieved by isolating the other variable in an equation and then substituting values for these variables in other another equation.
2. Elimination is another way to solve systems of equations by rewriting one of the equations in terms of only one variable. The elimination method achieves this by adding or subtracting equations from each other in order to cancel out one of the variables.
3. Augmented matrices can also be used to solve systems of equations. The augmented matrix consists of rows for each equation, columns for each variable, and an augmented column that contains the constant term on the other side of the equation.
Part C :
7x +y = 14
5x + y = 4
X= 5 and y = - 21
Hope this Helps : )
the distance between points is:
d = 7.8 units
d = root ((x2-x1) ^ 2 + (y2-y1) ^ 2)
The ordered pairs are:
(x1, y1) = (- 3, -2)
(x2, y2) = (2,4)
By applying the formula we have:
d = root ((2 - (- 3)) ^ 2 + (4 - (- 2)) ^ 2)
d = root (61)
d = 7.8
23
%
=
23
100
=
0.23
First we have to think that the symbol
%
=
1
100
so that
23
%
=
23
⋅
(
1
100
)
this is read twenty three percent is equal to twenty three multiplied by one divided by one hundred.
the result is the fraction
23
100
Now, to convert to decimal, simply divide 23 by 100
23
÷
10
=
2.3
and
2.3
÷
10
=
0.23
this is the same as
23
÷
100
=
0.23
