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3 years ago

Which relations are continuous and which ones are discrete?

Mathematics

2 answers:

AleksAgata [21]3 years ago

7 0

A and B are continuous, C is discrete

zubka84 [21]3 years ago

5 0

Answer:

byweeeeeeeeeeeeee

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Find the quotient of these Complex Numbers. <br><br><br> (5-i) / (3+2i)

JulsSmile [24]

Let the given complex number

z = x + ix = $\dfrac{5-i}{3+2i}$

We have to find the standard form of complex number.

Solution:

∴ x + iy = $\dfrac{5-i}{3+2i}$

Rationalising numerator part of complex number, we get

x + iy = $\dfrac{5-i}{3+2i}\times \dfrac{3-2i}{3-2i}$

⇒ x + iy = $\dfrac{(5-i)(3-2i)}{3^2-(2i)^2}$

Using the algebraic identity:

(a + b)(a - b) = $a^{2}$ - $b^{2}$

⇒ x + iy = $\dfrac{15-10i-3i+2i^2}{9-4i^2}$

⇒ x + iy = $\dfrac{15-13i+2(-1)}{9-4(-1)}$ [ ∵ $i^{2} =-1$ ]

⇒ x + iy = $\dfrac{15-2-13i}{9+4}$

⇒ x + iy = $\dfrac{13-13i}{13}$

⇒ x + iy = $\dfrac{13(1-i)}{13}$

⇒ x + iy = 1 - i

Thus, the given complex number in standard form as "1 - i".

5 0

3 years ago

Find \tan\left(\frac{17\pi}{12}\right)tan( 12 17π )tangent, left parenthesis, start fraction, 17, pi, divided by, 12, end frac

uranmaximum [27]

One way to do this is to notice

$\dfrac{17\pi}{12}=\dfrac\pi6+\dfrac{5\pi}4$

Then

$\tan\dfrac{17\pi}{12}=\tan\left(\dfrac\pi6+\dfrac{5\pi}4\right)=\dfrac{\tan\frac\pi6+\tan\frac{5\pi}4}{1-\tan\frac\pi6\tan\frac{5\pi}4}$

We have

$\tan\dfrac\pi6=\dfrac{\sin\frac\pi6}{\cos\frac\pi6}=\dfrac{\frac12}{\frac{\sqrt3}2}=\dfrac1{\sqrt3}$

and since $\tan x$ has a period of $\pi$ ,

$\tan\dfrac{5\pi}4=\tan\left(\pi+\dfrac\pi4\right)=\tan\dfrac\pi4=1$

and so

$\tan\dfrac{17\pi}{12}=\dfrac{\frac1{\sqrt3}+1}{1-\frac1{\sqrt3}}=\dfrac{1+\sqrt3}{\sqrt3-1}=2+\sqrt3$

7 0

3 years ago

What is the image of (-4,-4) after a dilation by a scale factor of 3 centered at the<br> origin?

gtnhenbr [62]

Answer:

(-12, -12)

Step-by-step explanation:

Since the scale factor is 3, you would multiply the x-coordinate and y-coordinate by it.

-4×3=-12

Hope this helps!!

3 0

2 years ago

I have a question for 7th grade math that is do today.The math question is what is 56+(-56)=? I would guess it equals 0 but am I

qaws [65]

Answer:

56 + -56 = 0

Step-by-step explanation:

because when there is a negative and a positive you add them together getting 0

Sorry its hard to explain but yes you are correct

I hope this helps

Have a great day!

3 0

3 years ago

Read 2 more answers

A bag has yellow, red, green, blue, black, and white marbles. There are 5 of each color in the bag. What fraction of the marbles

Ahat [919]

Answer:

2/3

Step-by-step explanation:

Have a great day

8 0

3 years ago