Answer and Step-by-step explanation:
Given
ax + by = c
qx + ry = s
(a) the equation has no solutions if a/q = b/r ≠ c/s, when this happens, we say the system of equations has no solution. For example
x + y = 3
x + y = 5
Subtracting first equation from the second we have:
0 = 2 which is impossible.
(b) the equations have infinite solutions if a/q = b/r = c/s, for example
x + y = 2
x + y = 2
Subtracting the first equation from the second we have
0 = 0, since this is always true, then it has infinite solutions.
(c) the equations have unique solutions if a/q ≠ b/r, for example
x + y = 2
x – y = 1
Adding the first and second equation we have
2x = 3, we can get x from here and definitely y, so we have just one solution.
Step-by-step explanation:
Consider LHS
Apply quotient identies
Multiply the fraction and sine.
Make cos x a fraction with cos x as it denominator.
so
Pythagorean Identity tells us sin squared and cos squared equals 1 so
Apply reciprocal identity.
Step-by-step explanation:
(-0.4)×(-2)+(-0.4)×(-9)
formula for distributive property is if
A(B+C)
=A×B + A×C
Anything to the power of 0 is just 1
Answer:
55998000
Step-by-step explanation:
When you take 5 time 3 you get 15
Then you take 15 and times that by 17 and get 225
then you take that and multiply that to 200 and get 5100
Finally you multiply 5100 to 1098 and get 5598000
