Answer:
Step-by-step explanation:
Given


The given system is
can be represented by

The given system is consistent when determinant of A is not equal to zero



i.e. system is consistent for all value of k except 

Answer:180
Step-by-step explanation:
you start by finding the prime factorization of the number
5=1*5
9=3*3
12=2*2*3
the shortest way to find the factors is to find is most of them like example, at max, there are 2 two's, 2 three's and 1 five then you multiply them all together
4*9*5=180 and that's the answer
80,400 or eighty thousand four hundred
Answer:
300 SUVs were sold.
210 Passenger cars were sold.
Step-by-step explanation:
Let S denote the amount of SUVs sold and let P denote the amount of passenger cars sold.
The total amount of vehicles sold was 510, so:

90 more SUVs were sold than passenger cars. In other words:

We know have a system of equations. We can solve it buy substituting the second equation into the first. Thus:

Combine like terms:

Subtract 90 from both sides:

Divide both sides by 2:

So, the 210 passenger cars were sold.
This means that 210+90=300 SUVs were sold.
And we're done!
Answer:
y = 1
They will pass through each other perpendicular, also you can look up graph in chrome and use a free graph.
Step-by-step explanation: