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laila [671]
2 years ago
8

What is the slope of the line containing (-2, 5) and (4,-4)?

Mathematics
1 answer:
puteri [66]2 years ago
5 0

Answer:

-1.5

Step-by-step explanation:

To work out the gradient of the line, we use this equation:

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

Substituting in, we get:

\frac{5 - ( - 4)}{ - 2 - 4}

Which simplifies to:

\frac{9}{ - 6}  =  \frac{3}{ - 2}  =  -  \frac{3}{2}  =  - 1.5

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REY [17]

Answer:

Step-by-step explanation:

Rationalize the denominator by multiplying both denominator & numerator by the conjugate of the denominator.

Conjugate of the denominator  1 + √3 is 1 - √3

\frac{6}{1+\sqrt{3}}=\frac{6(1-\sqrt{3})}{(1+\sqrt{3})(1-\sqrt{3})}\\\\=\frac{6(1-\sqrt{3})}{(1+\sqrt{3})(1-\sqrt{3})}\\\\=\frac{6(1-\sqrt{3})}{1^{2}-(\sqrt{3})^{2}}\\\\=\frac{6(1-\sqrt{3})}{1-3}\\\\=\frac{6(1-\sqrt{3})}{-2}\\\\=(-3)(1-\sqrt{3})\\\\=-3+3\sqrt{3}

3 0
3 years ago
Regan ran a total of 12 miles over the course of three track practices. How many miles would Regan have run after five practices
Ipatiy [6.2K]

Answer:

20 miles

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7 0
3 years ago
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How did Odysseus defeat the cyclops?
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Odysseus and his men then took the timber and heated the sharpened end in the fire until it glowed red. Then, with all their strength, they pushed the red-hot point into the eye of Polyphemus.
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3 years ago
Help please<br><br> .....................
elixir [45]

Answer:

f(-5) = 22

Step-by-step explanation:

All we do is substitute x = -5 into the function.

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C

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