To simplify the calculations, you can set the following system of equations that is equivalent to the given system. Multiply the first equation by 4, and the second by 3:
Subtracting the second equation for the first one, you get:
Substituting y=2 in the first equation and solving for x, you get:
<h2>Answer: </h2>
The equation of a line in Slope-Intercept form, is:
Where "m" is the slope of the line and "b" is the y-intercept.
By definition:
- The slopes of parallel lines are equal and the y-intercepts are different.
- The slopes of perpendicular lines are opposite reciprocals.
For this case you need to rewrite the equations given in the exercise in Slope-Intercept form by solving for "y".
- Line #1:
You can identify that:
- Line #2:
You can identify that:
Therefore, since:
You can conclude that: The graphs of the equation are parallel.
The sum of twice a number and 7 means; 2n + 7
is 17 means; = 17
Put together; 2n + 7 = 17
Solve for n.
2n + 7 = 17
~Subtract 7 to both sides
2n = 10
~Divide 2 to both sides
n = 5
Best of Luck!
Translation, rotation, reflection do not affect congruence. Dilation destroys congruence.
C
NC
C
a) she put the numbers in the wrong place, V2 ≠2
b) V32= 4V2