3x + y = 2 x – 2y = 10 Someone help me
2 answers:
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Answer:
(1) y=C,
(2) x=C
(1) y=0
Step-by-step explanation:
For the linear equation, the power on the solitary variable must be 1.
When the graph of a function crosses/ touches the x-axis than the equation has solution/solutions otherwise it does not has a solution.
When it touches/cresses the x-axis for infinite times then it will have an infinite number of solutions.
(1) The linear equation y-C=0, where y is a variable and C is a non-zero constant, , has the graph parallel to the x-axis. It has no solution as the graph will never cross/touch the x-axis.
Algebraically, in linear equation y-C=0, is independent of x, so there is no value of x for the solution to be exist.
(2) The linear equation x-C=0, where x is a variable and C is a constant, has one solution.
The solution for the equation is
x-C=0
, where
.
(3) The linear equation y=0, where y is a variable, has the graph coinciding with the x-axis. So, it has infinitely many solutions.
Algebraically, in linear equation y=0, is independent of x, so for all value of x, the given equation is zero. Hence, there are infinitely many solutions.
Answer:
y = 4 sin( 0.5t - ) - 2
y = a sin ( 2t - ) + 2
Step-by-step explanation:
In the first question,
amplitude = 4
Period =
phase shift =
Vertical shift = -2
Angular velocity , w =
Here, w = = 0.5
The general equation of a wave is
y = a sin( wt + ∅ )
Putting above values in the equation,
y = 4 sin( 0.5t - ) - 2
In the second question,
Amplitude is not given so we will take it as a.
time period =
w = 2
Phase shift =
Vertical shift = 2
The equation is
y = a sin ( 2t - ) + 2