The answer is D. y = 1/2(x+2)^2 -3
Step-by-step explanation:
I just put each answer choice into a graphing calculator and chose the one that was equivalent, D. came out to be right
The total time taken by Clem Shirestock to reach the gate is given by the equation 7 = 4√(x²+1)+ 8 - 2 x
Let the point P is at a distance of x miles from the toll gate.
Hence when Clem reaches the point P he rows in the form of right angled triangle. and we know that the width of the river is 1 mile.
So by using Pythagoras Theorem we can infer that the distance covered by Clem is the hypotenuse which is equal to √(x²+1).
Time taken to complete this route is 4√(x²+1) .
Now he has only to walk 4-x distance along the river.
His speed is 2 mph
Time taken = 2(4-x) = 8-2x
Hence we can conclude that the total time is 7 hours. so the equation to represent this is 7 = 4√(x²+1)+ 8 - 2 x .
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Answer:
<em>L= 9.086 feet</em>
Step-by-step explanation:
<u>Area of a Circular Sector</u>
Given a circle of radius r, the area of a circular sector defined by a central angle θ (in radians) is given by
And the length of the arc is:
We know the area of the sector is 100 square feet and the radius is r=33 ft, thus:
Solving for θ:
The arc length is:
L= 9.086 feet
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