Which graph does note represent a non-linear function
1 answer:
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Answer AND Step-by-step explanation:
Everything is in the picture.
<em><u>#teamtrees #PAW (Plant And Water)</u></em>
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<u>The equation is:</u>
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Answer:
Step-by-step explanation:
The circumference of a circle with radius is given by
. The length of an arc is makes up part of this circumference, and is directly proportion to the central angle of the arc. Since there are 360 degrees in a circle, the length of an arc with central angle
is equal to
.
Formulas at a glance:
- Circumference of a circle with radius
:
- Length of an arc with central angle
:
<u>Question 1:</u>
The radius of the circle is 12 m. Therefore, the circumference is:
The measure of the central angle of the bolded arc is 270 degrees. Therefore, the measure of the bolded arc is equal to:
<u>Question 2:</u>
In the circle shown, the radius is marked as 2 miles. Substituting into our circumference formula, we get:
The measure of the central angle of the bolded arc is 135 degrees. Its length must then be:
For this case we have a direct variation of the form:
Where,
- <em>k: proportionality constant </em>
We must find the value of k.
For this, we use the following data:
Therefore, replacing values we have:
Rewriting:
Clearing the value of k we have:
Therefore, the direct variation equation is given by:
Answer:
The quadratic variation equation for the relatonship is: