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3 years ago

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2. Cory makes a map of his favorite park, using a coordinate system with units of yards. The old oak tree is at position (1, 10)

and the granite boulder is at position (-5, 9). How far apart are the old oak tree and the granite boulder? Round to the nearest tenth if necessary

1 answer:

Alex17521 [72]3 years ago

7 0

Answer: The old oak tree and the granite boulder are $\sqrt{26}$ units apart.

Step-by-step explanation:

The distance between points (a,b) and (c,d) is given by :-

$d=\sqrt{(c-a)^2+(d-b)^2}$

Given: The position of oak tree = (1, 10)

The position of granite boulder = (-5,9)

The distance between oak tree and granite boulder = $\sqrt{(10-9)^2+(1-(-5))^2}$

$=\sqrt{(1)^2+(1+5)^2}\\\\=\sqrt{1+25}\\\\=\sqrt{26}\text{ units}$

Hence, the old oak tree and the granite boulder are $\sqrt{26}$ units apart.

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Assuming the following table on the figure attached.

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2. Now we want to find the intervals where f'(x) is positive or negative. This is done using critical points, which are the points where f'(x) is either 0 or undefined.

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