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2 years ago

The real part of the complex number –5 + 3i is

Mathematics

1 answer:

photoshop1234 [79]2 years ago

7 0

Answer:

-5

Step-by-step explanation:

The real part of -5 + 3i is -5, and the imaginary part is 3.

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Given that cos (x) = 1/3, find sin (90 - x)

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Answer:

$\sin(90^{\circ} - x)=\frac{1}{3}$

Step-by-step explanation:

Given: $\cos (x)=\frac{1}{3}$

We have to find the value of $\sin(90^{\circ} - x)$

Since Given $\cos (x)=\frac{1}{3}$

Using trigonometric identity,

$\sin(90^{\circ} - \theta)=\cos\theta$

Thus, for $\sin(90^{\circ} - x)$ comparing , we have,

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We get,

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Thus, $\sin(90^{\circ} - x)=\frac{1}{3}$

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3 years ago

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Which function is the inverse of f(x) = –5x – 4?

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Answer:

f^(-1)(x) = \frac{-1}{5} (x+4)

Step-by-step explanation:

Given is a function

$f(x) = -5x-4\\$

To find its inverse.

We must check whether f is one to one or onto first

If -5x1-4 = -5x2-4 we get x1=x2

Hence f is one to one

Also for every f(x) we can find a x so f is onto.

So inverse exists

Let

$y=-5x-4\\-5x=y+4\\x=\frac{-1}{5} (y+4)$

Replace x by f inverse and y by x

$f^(-1)(x) = \frac{-1}{5} (x+4)$

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3 years ago

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Find the distance between these two points (-6, -5) and (2, 0)

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Answer:

$\sqrt{89}$

Step-by-step explanation:

Use Distance Formula

$\sqrt{(x_{2}-x_{1} )^{2} + (y_{2}-y_{1} )^{2} }$

Substitute

$\sqrt{(-5-0)^{2}+(2+6)^{2} }$

Simplify

$\sqrt{(-5)^{2}+(8)^{2} }$

Simplify

$\sqrt{25+64}$

Add

$\sqrt{89}$

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