A circle has a diameter with endpoints at 3 – 5i and –8 + 2i. What is the center of the circle?
2 answers:
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Answer: (a) The slope of the line is 5 and the y-intercept is (0,10). (b) The rate of change is 5 and the initial amount is 10.
Explanation:
The given equation is,
.... (1)
(a)
The slope intercept form of the a line is,
.... (2)
Where, m is slope and (0,b) is y-intercept.
On comparing (1) and (2) we get,
Therefore, the slope is 5 and the y-intercept is (0,10).
(b)
The rate of change is also known as slope therefore the rate of change is 5.
To find the initial amount put x=0 in the given equation.
Therefore, the initial value is 10.
The rate of change represents the number of baskets of berries the workers picked increased by 5 units per unit of time.
The initial amount shows the number of baskets of berries the workers picked before the workers starts harvesting.
(c)The graph is shown below.
Since x represents the time in hours, therefore x is always greater that or equal to 0.
