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Luden [163]
3 years ago
6

What is the slope of a line that passes through the points (-8,-3) and (-24,1)

Mathematics
1 answer:
Aneli [31]3 years ago
7 0

Answer:

-  \frac{1}{4}

Step-by-step explanation:

gradient =  \frac{y1 - y2}{x1 - x2}

slope \: of \: line \\  =  \frac{1 - ( - 3)}{ - 24 - ( - 8)}  \\  =  \frac{1 + 3}{8 - 24}  \\  =  \frac{4}{ - 16}  \\  =  -  \frac{1}{4}

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Answer:

Population (p) = 4,000 hundred metric tons

Size of the yield (f(p)) = 8,000 hundred metric tons

Step-by-step explanation:

The population of sardines 'p', for which the derivate of the function f(p) is zero, is the population that gives the maximum sustainable yield:

f(p) = -0.0005p^2 + 4p\\\frac{df(p)}{dp}=-0.0010p+4\\-0.0010p+4 =0\\p=4,000

The size of the maximum sustainable yield is:

f(p) = -0.0005p^2 + 4p\\f(4,000) = -0.0005(4,000^2) + 4*4,000\\f(4,000) = 8,000

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3 0
3 years ago
Is it possible for a segment to have more than one bisector? Explain your reasoning.
lord [1]
Yes.

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A bisector of a line can divide the line in many different ways forming different angles.
A bisector is said to be a perpendicular bisector if the angle at the intersection of the two lines is 90 degrees.
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Therefore, <span>it is possible for a segment to have more than one bisector.</span>
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