Answer:
Yes, lines M and N intersect because their slopes are different.
Step-by-step explanation:
First, we can start out by finding the slope of Line M and Line N. The slope formula is (y_2 - y_1)/(x_ 2- x_1)
Slope of Line M:
(3--11) / (3--4)
(3+11) / (3+4)
14/7
2
Now we know that the slope of Line M is 2.
Slope of Line N:
(9--2) / (-6-5)
11/-11
The slope of Line N is -1!
Since the slopes of Line N and M are different, they intersect. The answer is Yes, lines M and N intersect because their slopes are different.
If the slopes were the same, Line N and M would NEVER intersect because they are parallel.
Hope this helps
is already in simplest form.
But if you meant to say
, we would combine the first two terms.
Adding/subtracting like terms is the same as adding/subtracting whole numbers.
Therefore:
Which gives us:
When the multiples of the equations in a system is added or subtracted, the resulting equation together with any of the original equation will result in the same answer.
Hence, the system of equations
x + 4y = 2
7x = 14
will also have a solution of (2, 0).
Answer:
(1, 3)
Step-by-step explanation:
The solution to any system is where the two lines meet. It would be no solution if the lines were parallel. An ordered pair is written out in the format (x, y).
Answer:
(A) Complements of the same angle are congruent.
Step-by-step explanation:
Since, ∠CEF is complementary to ∠DCF, therefore
∠CEF+∠DCF=90° (1)
Also, ∠CEG=∠CEF+∠FEG
⇒90°=∠CEF+∠FEG (2)
Therefore, from(1) and (2), we get
∠CEF+∠DCF=90°
∠CEF+∠FEG=90°
Subtracting both the equations, we get
∠DCF-∠FEG=0
∠DCF=∠FEG.
Hence, ∠DCF≅∠FEG by the rule: Complements of the same angle are congruent.
