Answer: (5,3)
Step-by-step explanation:
Solve by Addition/Elimination
x + y = 8
3x − y = 12
Add the two equations together to eliminate y from the system.
x + y = 8
<u>+ 3x −y = 12</u>
4x = 20
Divide each term in 4x = 20 by 4.
<u>4x</u> = <u>20</u>
4 4
Cancel the common factor of 4.
x= 20/4
x = 5
Substitute the value found for x into one of the original equations to solve for y.
(5) + y = 8
Remove parentheses.
5 + y = 8
Move all terms not containing y to the right side of the equation.
Subtract 5 from both sides of the equation.
y = 8 − 5
Subtract 5 from 8.
y = 3
The solution to the independent system of equations can be represented as a point.
(5, 3)
The result can be shown in multiple forms.
Point Form:
(5, 3)
Equation Form:
x = 5, y = 3
Answer:
Step-by-step explanation:
Slope of a line passes through (a,b) and (c,d) =
In graph(below) given line is passing through (-2,-4) and (2,2) .
Slope of the given line passing through (-2,-4) and (2,2) =
Since parallel lines have equal slope . That means slope of the required line would be .
Equation of a line passing through (a,b) and has slope m is given by :_
(y-b)=m(x-a)
Then, Equation of a line passing through(-3, 1) and has slope = is given by
Required equation:
Answer:
Step-by-step explanation:
Corresponding angles of both the squares are congruent. (angles of a square measure 90°)
Ratio of the sides of the given squares =
=
This ratio of side lengths is constant for all corresponding sides.
Therefore, corresponding sides are proportional.
Since, all angles of both the squares are congruent and all the sides are proportional, both the squares will be similar.
Scale factor =
=
= 2.5
This sequence of similarity transformations shows the figures are similar.
