NEED HELP ASAP! Triangle PQR has vertices at the following coordinates: P(0, 1), Q(3, 2), and R(5, -4). Determine wether or not
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The circumference of a circle can be found using the equation: c = 2<span>πr, where c=circumference and r=radius.
The radius of the circle is also equal to half the diameter: r = </span>
, where r=radius and d=diameter.
Plug the equation for the radius of the circle into the equation for the circumference of the circle and simplify to get an equation that relates circumference and diameter:
Now solve that equation for π (aka isolate π) to get the ratio of the circumference to the diameter:
You know that the diameter,
, so plug that into your ratio to get your answer. Remember that dividing by a fraction is equal to multiplying by the inverse of that fraction (aka the fraction flipped):
Your answer is B) <span>3C/2 = π. </span>
The radius of the circle is also equal to half the diameter: r = </span>
Plug the equation for the radius of the circle into the equation for the circumference of the circle and simplify to get an equation that relates circumference and diameter:
Now solve that equation for π (aka isolate π) to get the ratio of the circumference to the diameter:
You know that the diameter,
Your answer is B) <span>3C/2 = π. </span>
we have
--------> equation
--------> equation
Multiply equation by
both sides
------->
the two equations of the system are the same, both equations represent the same line
so
If a consistent dependent system that has an infinite number of solutions
therefore
<u>the answer is</u>
The system has infinite number of solutions