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solmaris [256]
3 years ago
10

Perform the operation (-3-2i)-(3+i)

Mathematics
1 answer:
Tpy6a [65]3 years ago
4 0

Answer:

- 6 - 3i

Step-by-step explanation:

Given

(- 3 - 2i) - (3 + i) ← distribute both parenthesis

= - 3 - 2i - 3 - i ← collect like terms

= - 6 - 3i

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I don’t get this at all can someone help?
aleksklad [387]

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5 0
3 years ago
Omg i keep mixing up the questions I JUST NEED HELP ON PART A THATS IT
ra1l [238]

Answer:

<u>1/557</u>

Step-by-step explanation:

The <u>scale factor</u> on a map is the ratio of one unit to the distance that unit measures!

8 0
2 years ago
Find the value of tan(sin^-1(1/2))
suter [353]

If you know that \sin\dfrac\pi3=\dfrac12, then you know right away

\tan\left(\sin^{-1}\dfrac12\right)=\tan\dfrac\pi3=\dfrac1{\sqrt}3=\dfrac{\sqrt3}3

###

Otherwise, you can derive the same result. Let \theta=\sin^{-1}\dfrac12, so that \sin\theta=\dfrac12. \sin^{-1} is bounded, so we know -\dfrac\pi2\le\theta\le\dfrac\pi2. For these values of \theta, we always have \cos\theta\ge0.

So, recalling the Pythagorean theorem, we find

\cos^2\theta+\sin^2\theta=1\implies\cos\theta=\sqrt{1-\sin^2\theta}=\sqrt{1-\left(\dfrac12\right)^2}=\dfrac{\sqrt3}2

Then

\tan\theta=\tan\left(\sin^{-1}\dfrac12\right)=\dfrac{\sin\theta}{\cos\theta}=\dfrac{\frac12}{\frac{\sqrt3}2}=\dfrac1{\sqrt3}=\dfrac{\sqrt3}3

as expected.

5 0
3 years ago
Read 2 more answers
The length of the base of a scalene triangle is 22 meters and the height is 14 meters. Find the area of the scalene triangle
Nezavi [6.7K]

Answer:

Area is 154 square meters

Step-by-step explanation:

Well lets think about this

If I take a rectangle and cut it into half diagonally I would get 2 triangles right?

So if I have 2 triangles of the same height and base I can make a rectangle

to find the area of a rectangle I do length times width

So lets take our scalene triangle and multiply our base with its width and then divide by 2

22*14 = 308

308/2 is 154

5 0
3 years ago
A scale factor of 1 will produce a congruent image​
horsena [70]

Answer:

no factor of one

Step-by-step explanation:

If the scale factor is greater than 1, the image is an enlargement (a stretch). If the scale factor is between 0 and 1, the image is a reduction (a shrink). If the scale factor is 1, the figure and the image are congruent. The word "dilate" is often heard in relation to the human eye.

8 0
3 years ago
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