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Sphinxa [80]
2 years ago
8

Calculate the distance between (2, -2) and (-3, -1).

Mathematics
1 answer:
Elena L [17]2 years ago
6 0

Answer:5.1

Step-by-step explanation:

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Let alpha and beta be conjugate complex numbers such that frac{\alpha}{\beta^2} is a real number and alpha - \beta| = 2 \sqrt{3}
miskamm [114]

Answer:

-3+i\sqrt{3} , 1+\sqrt{3}

Step-by-step explanation:

Given that alpha and beta be conjugate complex numbers

such that frac{\alpha}{\beta^2} is a real number and alpha - \beta| = 2 \sqrt{3}.

Let

\alpha = x+iy\\\beta = x-iy

since they are conjugates

\alpha-\beta = x+iy-(x-iy)\\= 2iy= 2i\sqrt{3} \\y =\sqrt{3}

\frac{\alpha}{\beta^2} }\\=\frac{x+i\sqrt{3} }{(x-i\sqrt{3})^2} \\=\frac{x+i\sqrt{3}}{x^2-3-2i\sqrt{3}} \\=\frac{x+i\sqrt{3}((x^2-3+2i\sqrt{3}) }{(x^2-3-2i\sqrt{3)}(x^2-3-2i\sqrt{3})}

Imaginary part of the above =0

i.e. \sqrt{3} (x^2-3)+2x\sqrt{3} =0\\x^2+2x-3=0\\(x+3)(x-1) =0\\x=-3,1

So the value of alpha = -3+i\sqrt{3} , 1+\sqrt{3}

3 0
3 years ago
6x^2-4xy-15xy+10y^2 factor by grouping
PtichkaEL [24]
4 answers · Mathematics
Best Answer
We will need to split the middle term and use the grouping method. To do this multiply the coefficient of the first term (6) against the coefficient of the last term (10):

6 * 10 = 60
Factors of 60 = +-(1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60)

From the list of factors find two numbers that when added together give -19 and when multiplied together give 60. -15 and -4 added together give -19 and multiplied together give 60 so split the middle term by rewriting these values back into the expression:

6x^2 - 15xy - 4xy + 10y^2

Now use the grouping method, take out the highest common factor between the two sets of terms:

3x(2x - 5y) - 2y(2x - 5y)

Group the outside terms:

(3x - 2y)(2x - 5y)


Answers
6 = -3*-2
10 = 5*2
5*3+2*2=19
thus
(2y-3x)(5y-2x)
8 0
3 years ago
I like cheese burger do u liek cheese burgers 2+2+12-21+492
andre [41]
Yes bananannanejdjdbe evehsosnsbscwhwje shekels s
4 0
1 year ago
A type of green paint is made by mixing 2 cups of yellow with 35 cups of blue.
adell [148]

Answer:

1. 1 cup  of yellow 17.5 cups of blue 2. 4 cups of yellow 70 cups of blue

3. 2 cups of yellow 40 cups of blue 4. 2 cups of yellow 30 cups of blue

Step-by-step explanation:

1. to get same shade keep ratios the same but divide by 2 for smaller amount

2/2 = 1 and 35 /2 = 17.5

2. similar to 1. except multiply by 2

3. use same yellow amount but more blue

4. use same yellow but less blue

8 0
2 years ago
How do I do a multiplication targets or wheels ​
aleksklad [387]

Answer:

a

Step-by-step explanation:

do 2 x 2 you should get the right answer

8 0
3 years ago
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