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lutik1710 [3]
3 years ago
8

Write the expression in standard form. 6/(4-13i)

Mathematics
2 answers:
Anna007 [38]3 years ago
8 0
\frac{6}{4-13i}* \frac{4+13i}{4+13i}= \\ = \frac{6*(4+13i)}{16-169i ^{2} } = \\ = \frac{24+78i}{16+169}= \\ = \frac{24+78i}{185}=
= 24/185 + 78/185 i 
Paha777 [63]3 years ago
7 0
6/(4 - 13i) = 6/(4 - 13i) * (4 + 13i)/(4 + 13i) = (24 + 78i)/(16 + 169) = 6/185 (4 + 13i)
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PLEASE HELP!!!<br><br> Find the value of x.<br> 78°<br> (12x + 18)"
mojhsa [17]

X = 5

Step-by-step explanation:

78 = 12x+18

-18 -18

60 = 12x

5 = x

4 0
2 years ago
Si un triángulo tiene una hipotenusa de 15 cm y un cateto que mide 12 cm, ¿cual es la longitud del otro cateto?
BartSMP [9]

Answer:

   

9cm

Explicación:

El teorema de pitagoras nos dice que la hipotenusa al cuadrado es igual a la suma de los catetos al cuadrado:

c^{2} =a^{2} + b^{2}

Donde c es la hipotenusa y a  y b son los catetos.

Por lo cual, podemos reemplazar c por 15cm y a por 12cm :

15^{2} =12^{2} +b^{2}

Finalmente , debemos resolver la ecuación para b, así que b es igual a :

225=144+b^{2} \\225-144=144+b^{2} -144\\81=b^{2} \\\sqrt{81} =b\\9=b

Por lo tanto, la longitud del otro cateto es 9 cm

3 0
3 years ago
What are the solutions of x^2-2x+5=0? A. X=2i or x=-2i. B. X=1+2i or x=1-2i. C. X=2+i or x=2-i. D. X=2+2i or x=2-2i
satela [25.4K]

Answer:

B. x=1+2i or x=1-2i.

Step-by-step explanation:

The equation is given as;

x²-2x+5=0

complete the square method to find value of x as;

x²-2x = -5

x²-2x + 1 = -5 + 1

x²-2x +1 =-4

( x-1 )² = -4

x-1 = ±√-4 ---------<em>where √-1 = i</em>

x-1 =± 2i

So;

x-1 = + 2i

x= 1+2i

or

x= 1-2i

x= 1-2i

7 0
3 years ago
Jim pays $75 per month for a cell phone plan plus $0.30 per minute beyond the first 1,000 minutes his bill was $105.60 last mont
oee [108]
105.60-75=35.60
35.60/.30=102
1000+102=1102. He used 1102 minutes
5 0
3 years ago
Read 2 more answers
The sum of two numbers is with a ratio of 15:10 .find the larger number
Naddik [55]
With ratio to get the same ratio but bigger or smaller numbers you should double the ratio or half it. Dont know if this was any help :)
3 0
3 years ago
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