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Ann [662]
3 years ago
5

Find the distance between these two points (-6, -5) and (2, 0)

Mathematics
1 answer:
Charra [1.4K]3 years ago
3 0

Answer:

\sqrt{89}

Step-by-step explanation:

Use Distance Formula

\sqrt{(x_{2}-x_{1}  )^{2}  + (y_{2}-y_{1}  )^{2}  }

Substitute

\sqrt{(-5-0)^{2}+(2+6)^{2} }

Simplify

\sqrt{(-5)^{2}+(8)^{2}  }

Simplify

\sqrt{25+64}

Add

\sqrt{89}

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Answer:

Part A) sin(A)=\frac{2\sqrt{42}}{23}

Part B) cos(A)=\frac{19}{23}

Part C) tan(A)=\frac{2\sqrt{42}}{19}

Step-by-step explanation:

Part A) we know that

In the right triangle ABC of the figure the sine of angle A is equal to divide the opposite side angle A by the hypotenuse

so

sin(A)=\frac{BC}{AB}

substitute the values

sin(A)=\frac{2\sqrt{42}}{23}

Part B) we know that

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