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Vedmedyk [2.9K]
2 years ago
12

What is the distance between the points (-4,5) and (8,9)?

Mathematics
1 answer:
DanielleElmas [232]2 years ago
5 0

<u>Answer:</u>

<h3>d ≈ 12.65</h3>

<u>Steps:</u>

d² = (8-(-4))²+(9-5)²

d² = (8+4)² + 4²

d² = 12² + 4²

d² = 144 + 16

d² = 160

d = √160

<h3>d ≈ 12.65</h3>
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Step-by-step explanation:

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grigory [225]

Answer:

Check below, please

Step-by-step explanation:

Step-by-step explanation:

1.For which values of x is f '(x) zero? (Enter your answers as a comma-separated list.)

When the derivative of a function is equal to zero, then it occurs when we have either a local minimum or a local maximum point. So for our x-coordinates we can say

 f'(x)=0\: at \:x=2, and\: x=-2

2. For which values of x is f '(x) positive?

Whenever we have  

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 f'(x)>0 \:at [-4,-2) \:and\:(2, \infty)

3. For which values of x is f '(x) negative?  

On the other hand, every time the function is decreasing its derivative would be negative. The opposite case of the previous explanation. So

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4.What do these values mean?

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2 years ago
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Step-by-step explanation:

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ANSWER

( -  \infty , - 7) \cup( - 7 , 0) \cup(0 , 7 )\cup(7 , +   \infty )

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