A consistent system has at least 1 solution, it could have more.
a consistent system that has exactly 1 solution, is an independent system.
a consistent system that has infinitely many solutions, namely, both equations are really the same equation in disguise, is a dependent system.
Answer: ≈39 ft
Step-by-step explanation: Pythagorean theorem= √40^2-8^2 ≈39.19!
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Answer:
x^2/1 +y^2/81 = 1
Step-by-step explanation:
We know that the equation of a unit circle is ...
x^2 +y^2 = 1 . . . . . equation of a unit circle
We also know that replacing x with x/a in a function will expand the graph by a factor of 'a'. Similarly, replacing y with y/b will do the same in the vertical direction.
An ellipse is a circle that has had different expansion factors applied along its different axes. Here, the given points tell us the center of the ellipse is (0, 0), and that it has been expanded by a factor of 9 in the y-direction and a factor of 1 in the x-direction This means the equation for it would be ...
(x/1)^2 +(y/9)^2 = 1 . . . . . equation for desired ellipse
In the required form, this is ...

Answer:
Please check the explanation.
Step-by-step explanation:
If the ratio y/x is the same for all related pairs of x and y, it means it represents a proportional relationship.
In other words, '
' varies proportionally with '
' or that '
' is directly proportional to '
'.
When we say the ratio is the same, it means when '
' increases, '
' increases and as '
' decreases, '
' decreases
Using the equation
y ∝ x
y = kx
k = y/x
Where 'k' is the proportionality constant.