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sveta [45]
3 years ago
5

Which fraction do you multiply by to simplify 5/ 4 - 3i ?

Mathematics
1 answer:
Rzqust [24]3 years ago
3 0
So I assume
\frac{5}{4-3i}

If so. Let us begin.

\mathrm{Multiply\:by\:the\:conjugate}\:\frac{4+3i}{4+3i} \ \textgreater \  \frac{5\left(4+3i\right)}{\left(4-3i\right)\left(4+3i\right)} \ \textgreater \  \left(4-3i\right)\left(4+3i\right)

\mathrm{Apply\:complex\:arithmetic\:rule}:\ \left(a+bi\right)\left(a-bi\right)=a^2+b^2
Where\;a=4,\:b=-3 \ \textgreater \  4^2+\left(-3\right)^2 \ \textgreater \  Refine \ \textgreater \  25

\frac{5\left(4+3i\right)}{25} \ \textgreater \  \mathrm{Cancel\:the\:common\:factor:}\:5 \ \textgreater \  \frac{4+3i}{5}

Group\:the\:real\:part\:and\:the\:imaginary\:part\:of\:the\:complex\:number
\frac{4}{5}+\frac{3}{5}i\;is\;our\;answer!

Hope this helps!
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Solve.<br>(-2/3)(-1/4)<br><br>A. -2/7<br>B. -2/12<br>C. 2/12<br>D. 2/7<br><br><br>​
WITCHER [35]

Answer:

C. 2/12

Step-by-step explanation:

multiplication  and when two negatives are multiplied together they always equal a positive i hope this helps have a great day :)

6 0
3 years ago
Find the equation of the line that passes through the point (2, 1) and is perpendicular to y=(−2/5)x+3.
Natali [406]

Answer:

Step-by-step explanation:

perp. 5/2

y - 1 = 5/2(x - 2)

y - 1 = 5/2x - 5

y = 5/2x - 4

4 0
3 years ago
Read 2 more answers
what is the surface area of cone with a diameter of 10 centimeters and a slant height of 12 centimeters round your answer to the
Oduvanchick [21]

The surface area of the cone is 266.9cm^2

Explanation:

The diameter of the cone is 10 cms

Thus, the radius of the cone is given by

r=\frac{d}{2} =\frac{10}{2} =5

The slant height of the cone is 12 cms

The formula for surface area of the cone is given by

$S A=\pi r^{2}+\pi r l$

Substituting the values, we get,

$S A=(3.14)(5)^{2}+(3.14)(5)(12)$

$S A=(3.14)25+(3.14)(60)$

SA=78.5+188.4

SA=266.9cm^2

Thus, The surface area of the cone is 266.9cm^2

5 0
3 years ago
Pls ans I can’t get it
11111nata11111 [884]

Answer:

1.u=1/2

2.b= -35

3.a= -8

8 0
3 years ago
The product of four different positive integers is 100. What is the sum of these four integers?
Leno4ka [110]

Step-by-step explanation:

The Answer for the above question is

The four integers are 1,2,5,10. And Sum of the four integers is 18 .

<u>Method : </u>

Product of four different positive integers is 100 .

<u>First</u> of all lets break the number "100"

 ⇒  100 = 50*2

 ⇒ 100 = 25 * 2 * 2

  ⇒ 100 = 5 * 5 * 2 * 2

But here we get the same  integers 2 and 5 and we want different positive integers . So hereby merge 5 * 2  which is 10.

Let's get to the possible combination -

  After merging 5*2 = 10 we get the answer as -

 ⇒ 100 = 1 * 2 * 5 * 10

 Here, we have 1, 2, 5, 10. these are the positive integers whose product gives 100 .

Sum of these products is -

   ⇒ Sum = 1 + 2 + 5 + 10

  ⇒  Sum = 18 .

Sum of these four Integers is 18.

5 0
3 years ago
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