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Mkey [24]
3 years ago
12

Help please i have to finish soon

Mathematics
1 answer:
Vitek1552 [10]3 years ago
6 0
-2/3 :)))))))))))))))))))))))))
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Solve for x and y 1/(x+yi) + 2/(x-yi) = 1+i
aliina [53]

Answer:

Step-by-step explanation:

x+i*y≠0 ==> x≠0 and y≠0

x-i*y≠0 ==> x≠0 and y≠0

We must exclude (0,0) as solution.

\dfrac{1}{x+i*y} +\dfrac{2}{x-i*y} =1+i\\\\\dfrac{1*(x-i*y)}{(x+i*y)(x-i*y)} +\dfrac{2*(x+i*y)}{(x-i*y)(x+i*y)} =1+i\\\\\\\dfrac{x-i*y+2x+2i*y}{x^2+y^2} =1+i\\\\3x+i*y=(1+i)(x^2+y^2)\\\\3x+i*y=(x^2+y^2)+i(x^2+y^2+i*(x^2+y^2)\\\\\left\{\begin{array}{ccc}3x&=&x^2+y^2\\y&=&x^2+y^2\\\end {array}\right.\\\\\\\left\{\begin{array}{ccc}y&=&3x\\3x&=&x^2+9x^2\\\end {array}\right.\\\\\\\left\{\begin{array}{ccc}y&=&3x\\x(10x-3)&=&0\\\end {array}\right.\\\\

\left\{\begin{array}{ccc}x&=&0\\y&=&0\\\end {array}\right.\ (to\ exclude) \ or \ \left\{\begin{array}{ccc}x&=&\dfrac{3}{10}\\\\y&=&\dfrac{9}{10}\\\end {array}\right.\\\\Sol=\{(\dfrac{3}{10},\dfrac{9}{10})\}\\

4 0
3 years ago
F(x)=−7x^2 −x and g(x)=9x^2 −4x , find (f−g)(x) and (f−g)(1)
givi [52]

Answer:

f(x) = -7x² - x

g(x) = 9x² - 4x

To find ( f - g)(x) subtract g(x) from f(x)

That's

( f - g)(x) = - 7x² - x - ( 9x² - 4x)

= -7x² - x - 9x² + 4x

Group like terms

( f - g)(x) = - 7x² - 9x² - x + 4x

<h3>( f - g)(x) = - 16x² + 3x</h3>

To find (f - g)(1) substitute 1 into ( f - g)(x)

That's

(f - g)(1) = - 16(1) + 3(1)

= -16 + 3

<h3>= - 13</h3>

Hope this helps you

6 0
3 years ago
What is the sum of 9 7/8 plus 11 2/8?
slamgirl [31]

Answer:

169/8

Step-by-step explanation:

9 7/8 = 79 / 8

11 2/8 = 90 / 8

90/8 + 79/8

The denominator (8) stays the same

90+79 = 169

169/8 or 21 1/8

8 0
2 years ago
The angles of a triangle are in the ratio 7:5:3. What are the measurements of the angles?
hoa [83]
The interior angles of a triangle must add up to 180 eighty degrees.
Since the ratio is 7:5:3, let's say that the three angles have degrees 7x, 5x, and 3x
7x+5x+3x = 15x = 180
-> x = 12
Therefore, the three angles are 7*12=84, 5*12=60, 3*12=36 degrees.
5 0
3 years ago
Which is greater than 3/4,is it 5/8, 10/12, 7/16, 10/20
Zolol [24]

You need to change 3/4 to the same denominator of each option and none of them are greater.
6 0
4 years ago
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