The formula for the circumference of a circle with diameter d is C = πd.
1 answer:
Answer:
A) <em>d</em> =
B) <em>d</em> = or 2.55 inches
C) r = 3 inches
Step-by-step explanation:
Given the formula for the circumference of a circle, C = πd, where <em>d </em>represents the diameter of a circle.
<h3>A. solve the formula for <em>d</em>.</h3>In order to solve for <em>d, </em>divide<em> </em>both sides of the equation by π:
<em>d</em> = .
Given the circumference of the circle, C = 8 inches:
Use the formula for the diameter of the circle from part A of this post.
<em>d</em> =
<em>d</em> = or 2.55 inches.
Since the diameter of a circle is the same as twice the measure of the radius, <em>r: </em>d = 2 × <em>r</em>
Then, we can rewrite the formula for the circumference of a circle as:
C = 2π<em>r</em>
Divide both sides by 2π to isolate <em>r </em>:
r =
Given the circumference of a circle, <em>C</em> = 6π:
Therefore, the radius of the circle is 3 inches.
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(x-3)(x+1)=0
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</span>Extraneous root would be negative 3.
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</span>Extraneous root would be positive 1.
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Extraneous roots are negative 3 and positive 1.
Extraneous root in this case is positive four since +4≠-4
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#29 can be turned into a quadratic equation.
Square both sides to get
Then bring the 2x+3 to the other side, setting the quadratic equal to zero.
Factor to find that it's equivalent to
(x-3)(x+1)=0
Therefore x is equal to positive 3 and negative 1. Plug both back into the original equation. Whichever does not work is the extraneous root, and the answer is the one that does.
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</span>Extraneous root would be negative 3.
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</span>Extraneous root would be positive 1.
Your answers are positive 3 and negative 1.
Extraneous roots are negative 3 and positive 1.