Draw a square with a perimeter of 16 feet
1 answer:
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If we are to write this equation in slope-intercept form, it will be in y = mx + b, where m is the slope of the line and b is the y intercept. We need then to find the slope of the line using 2 points on the line and filling in the slope formula to find the slope. One of the points we can use is (0, 3) which is also the y intercept. The y-intercept is found where x = 0. Where x = 0, y = 3. So b = 3. Now for the slope we will use (0,3) and (4,4): 
. Using that m value and that b value we have the equation 
. There you go!
The question is an illustration of related rates.
The rate of change between you and the ball is 0.01 rad per second
I added an attachment to illustrate the given parameters.
The representations on the attachment are:
---- the rate
First, we calculate the vertical distance (y) using tangent ratio
Substitute 100 for x
Differentiate both sides with respect to time (t)
Substitute values for the rates and
This gives
Divide both sides by 2
Hence, the rate of change between you and the ball is 0.01 rad per second
Read more about related rates at:
