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2 years ago

Write (9 + 6i) − (1 + 3i) as a complex number in standard form.

Mathematics

1 answer:

777dan777 [17]2 years ago

6 0

Answer:

8 +3i

Step-by-step explanation:

(9 + 6i) − (1 + 3i)

Distribute the minus sign

(9 + 6i) − 1 - 3i

Combine like terms

9-1 + 6i -3i

8 +3i

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The diameter of a circle is 6 m. Find its area in terms of π π.

Xelga [282]

Step-by-step explanation:

this is totally simple.

the formula for the area of a circle (as you can find with any search on the internet in seconds) :

A = pi×r²

r is the radius.

and once you understand even the most basics of a circle, you know that the radius is half of the diameter.

so, in our case, r = 6/2 = 3 m

the area of the circle is therefore

pi×r² = pi×3² = pi×9 m²

4 0

2 years ago

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Dividing monomials please help and quick!!

Snezhnost [94]

Answer:

answer is of left to right

16x^14/(36x^2)=4x^12/9

(3^3)×(x^5)×y÷4

-9a^3(b^5)

7 0

3 years ago

The following polygons are similar. Find x

Ray Of Light [21]

is 750.000 is your answer.

5 0

3 years ago

Question in picture A) 16/63 B)-16/63 C) 63/16 D) -63/16

Orlov [11]

ANSWER
$\tan(x + y) = - \frac{63}{16}$

EXPLANATION

We were given that,

$\csc(x) = \frac{5}{3}$

This implies that,

$\sin(x) = \frac{3}{5}$

We use the Pythagorean identity

$\sin^{2} (x) + \cos^{2} (x)= 1$
to get,

$\cos(x) = \sqrt{1 - ( { \frac{3}{5} })^{2}} = \frac{4}{5}$

We were also given that,

$\cos(y) = \frac{5}{13}$

This means that,

$\sin(y) = \sqrt{1 - {( \frac{5}{13}) }^{2} } = \frac{12}{13}$

This is because,

$0 < \: x \: < \frac{\pi}{2}$

$0 < \: y \: < \frac{\pi}{2}$

This angles are in the first quadrant so we pick the positive values.

$\tan(x + y) = \frac{ \sin(x + y) }{ \cos(x + y) }$

$\tan(x + y) = \frac{ \sin(x ) \cos(y) + \sin(y) \cos(x) }{ \cos(x) \cos(y) - \sin(x) \sin(y) }$

$\tan(x + y) = \frac{ \frac{3}{5} \times \frac{5}{13} + \frac{12}{13} \times \frac{4}{5} }{ \frac{4}{5} \times \frac{5}{13} - \frac{3}{5} \times \frac{12}{13} }$

$\tan(x + y) = - \frac{63}{16}$

The correct answer is D

4 0

3 years ago

Okay someone help me please what is ten times negative three ? ):

mr_godi [17]

Answer:

-30

Step-by-step explanation:

10 x 3 = 30

10 x -3= -30

please mark me brainliest

two negatives makes a positive

two positives markets a negative

and

a positive and a negative makes a negative

5 0

3 years ago

Read 2 more answers