The equation below does not have one solution, or no solutions, but instead it has an infinite number of solutions
<h3>How to determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions?</h3>
The equation is given as:
x + 2 = 2 + x
Collect the like terms
x - x =2 - 2
Evaluate the like terms
0 = 0
An equation that has a solution of 0 = 0 has an infinite number of solutions
Possible values of x are x = 8 and x = -8
Hence, the equation below does not have one solution, or no solutions, but instead it has an infinite number of solutions
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Answer:
Both 
and 
are solutions to the system.
Step-by-step explanation:
In order to determine whether the two given points represent solutions to our system of equations, we must "plug" thos points into both equations and check that the equality remains valid.
Step 1: Plug into 
The solution verifies the equation.
Step 2: Plug into 
The solution verifies both equations. Therefore, is a solution to this system.
Now we must check if the second point is also valid.
Step 3: Plug into
Step 4: Plug into
The solution verifies both equations. Therefore, is another solution to this system.
A triangular pyramid has 3 rectangular sides and a top and bottom triangular base.
Well there are 52 cards in a deck. There are 13 of each kind of card. So 13/52 are diamonds
A polar coordinate is that which can be written as (r, θ) where r is the radius and θ is the angle.
The radius, r, is also the hypotenuse of the right triangle that can be formed. Hence, it can be calculated through the equation,
r² = x² + y²
If we are to simplify this for the r alone, we have,
r = sqrt (x² + y²)
Substituting the known values,
r = sqrt ((4)² + (-4)²) = 4√2
The x and y can be related through the trigonometric function, tangent.
tan θ = y/x
To solve for θ
θ = tan⁻¹(y/x) = tan⁻¹(-4/4) = -45° = 315°
Hence, the polar coordinate is <em>(4√2, 315°)</em>
