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3 years ago

(- 9 - 7i ) + (16 +5 i)

Mathematics

1 answer:

Pachacha [2.7K]3 years ago

8 0

Answer:

7 - 2i

Step-by-step explanation:

Here we have two complex numbers and wish to combine them. Complex numbers have real and imaginary parts. We sum up the real parts and the imaginary parts separately:

-9 - 7i

+16 + 5i

------------

7 - 2i This is the sum of -9 -7i and 16 + 5i.

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Find the value of x.

Gala2k [10]

Answer:

$\large\boxed{2\sqrt7}$

Step-by-step explanation:

Look at the picture.

ΔADC and ΔACB are similar. Therefore the corresponding sides are in proportion:

$\dfrac{AC}{AD}=\dfrac{AB}{AC}$

We have

$AC=x,\ AD=2,\ AB=2+12=14$

Substitute:

$\dfrac{x}{2}=\dfrac{14}{x}$ <em>cross multiply</em>

$x^2=(2)(14)\\\\x^2=28\to x=\sqrt{28}\\\\x=\sqrt{4\cdot7}\\\\x=\sqrt4\cdot\sqrt7\\\\x=2\sqrt7$

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4 years ago

Find the distance between the points J( – 8,0) and K(1, 4).

Ksenya-84 [330]

Answer:

The answer is

$\sqrt{97} \: \: units$

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} }$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

J( – 8,0) and K(1, 4)

The distance between them is

$|JK| = \sqrt{ ({ - 8 - 1})^{2} + ({0 - 4})^{2} } \\ = \sqrt{ ({ - 9})^{2} + ( { - 4})^{2} } \\ = \sqrt{81 + 16} \\$

We have the final answer as

$\sqrt{97} \: \: \: units$

Hope this helps you

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Help ASAP!!

Sergio [31]

It’s just adding 19 each time

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2 years ago

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Galina-37 [17]

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