Explanation is given step by step just below:
tan(theta(t))=y(t)/x(t)
differentiate
sec^2(theta(t))*theta'(t)=y'(t)x(t)-y(t)x'(t)/x^2(t)
thus
theta'(t)=(y'(t)x(t)-y(t)x'(t))
divided by (x^2(t)*sec^2(θ(t))
((x^2-3x-18)/(x+3))
((x-6)(x+3))/(x+3)
The x+3 on top cancels out the x+3 on the bottom so all you have left is
x-6
Hope I didn't mess up for your sake!
Option A is correct.
Step-by-step explanation:
We need ti identify the radius of circle.
The radius of circle is a length of the line from center of the circle to anywhere on the edge of circle. It is also shown in the figure attached.
From the given options, only FE is the line that goes from center of circle to the edge of circle. So, FE is the radius of the circle.
So, Option A is correct.
Keyword: Radius of circle
Learn more about Radius of circle at:
#learnwithBrainly
In this question it is already given that a person travels 8 miles in 0.5 hours. This is enough information to get to the required answer. Let us first write down all the information's that are already given in the question.
In 0.5 hours the person covers a distance = 8 miles
Then
In 1 hour the person covers a distance of = 8/0.5 miles
= 16 miles
So the speed of the person in miles per hour = 16/1 miles/hour
= 16 miles per hour
Step-by-step explanation:
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