Answer: It is consistent as the lines are intersecting lines and it has a unique solution
Step-by-step explanation:
Since we have given two systems of equation :

We need to check whether the system of equations is consistent or inconsistent.
As we know the formula for checking the consistency :

In first equation we have

similarly,
In the second equation we have

So, According to question, we have

Hence, it is consistent as the lines are intersecting lines and it has a unique solution.
3.
Let the points be A, B & C.
The three distinct segments are AB, BC & AC.
Answer:
0.347
Step-by-step explanation:
n = 3
p = 1/6
r = 1
Use binomial probability:
P = nCr pʳ qⁿ⁻ʳ
P = ₃C₁ (1/6)¹ (5/6)³⁻¹
P = 0.347
Or, using a calculator:
P = binompdf(n, p, r)
P = binompdf(3, 1/6, 1)
P = 0.347
Answer: 5x+8
Step-by-step explanation: You have to combine like terms.
3x+2x=5x
5+3=8
= 5x+8
Answer: The slope is 1/2. The equation for this answer is y= 1/2 r - 2
Step-by-step explanation: