3 years ago

Find the other endpoint of the line segment with the given endpoint and midpoint.

Mathematics

1 answer:

Margaret [11]3 years ago

3 0

Answer:

Step-by-step explanation:

because it is (5,15) and B is (5,15)

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3 years ago

Simplify (3 + 2i)(7 − 5i).

erma4kov [3.2K]

Rule needed: i^2 = -1
Standard form a + bi

(3 + 2i)(7 - 5i) FOIL
3 * 7 = 21
3 * - 5i = - 15i
2i * 7 = 14i
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Putting it all back together.
31 - i

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3 years ago

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What is the angle between a=7i+3j and b=4i-j

PolarNik [594]

$a\cdot b=(7)(4)+(3)(-1)=25\\\\|a|=\sqrt{7^{2}+3^{2}}=\sqrt{58}\\\\|b|=\sqrt{4^{2}+(-1)^{2}}=\sqrt{17}\\\\\cos \theta=\frac{25}{\sqrt{58}\sqrt{17}}\\\\\theta=\cos^{-1} \left(\frac{25}{\sqrt{58}\sqrt{17}} \right) \approx 37.235^{\circ}$