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Tcecarenko [31]
3 years ago
13

Find the distance between the points (-4,-2) and (3,3)

Mathematics
1 answer:
kati45 [8]3 years ago
3 0

Answer:

8.6

Step-by-step explanation:

Use the distance formula to find the distance between the two points.

√[(x₂ - x₁)² + (y₂ - y₁)²]

√[(3 - -4)² + (3 - -2)²]

√[(7)² + (5)²]

√[(49) + (25)]

√74

8.6

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How can csc^2-cot^2 = 1?
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ANSWER

By simplifying the left hand side using the Pythagorean Identity.

EXPLANATION

The given identity is

\csc^{2} (x) -  \cot^{2} (x) = 1

Take the left hand side and simplify to get the right hand side.

\csc^{2} (x) -  \cot^{2} (x) =  \frac{1}{\sin^{2} (x)}  - \frac{ \cos^{2} (x)}{\sin^{2} (x)}

Collect LCM for the denominators.

\csc^{2} (x) -  \cot^{2} (x) =  \frac{1 -  \cos^{2} (x)}{\sin^{2} (x)}

Recall the Pythagorean Identity.

\cos^{2} (x) +  \sin^{2} (x) = 1

This implies that:

1 -  \cos^{2} (x) =  \sin^{2} (x)

We substitute this to get,

\csc^{2} (x) -  \cot^{2} (x) =  \frac{\sin^{2} (x)}{\sin^{2} (x)}

\csc^{2} (x) -  \cot^{2} (x) = 1

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3 years ago
There is a 10% sales tax on a purchase of $13.50 how much is the tax
raketka [301]

Answer:

1.35

Step-by-step explanation:

13.5/100 times 10 = 1.35

8 0
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Can anyone pls answer this! it's really urgent! ​
stich3 [128]

Answer:

The answer is C

Step-by-step explanation:

You need to find a common denominator and in this case its 20. SO you change 3/4ths to 15/20 and 4/5ths to 16/20ths and 19/20 stays the same. Then you cancel out the 20 because its all the same number (I think) and you have your answer.

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Please provide step by step explanation thanks
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Answer:

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