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Bingel [31]
3 years ago
11

How to simplify this equation?

Mathematics
2 answers:
makkiz [27]3 years ago
8 0
Here see the attachment
pychu [463]3 years ago
4 0

Answer:

10/9 +  \frac{1}{3} \sqrt{10} i

Step-by-step explanation:

(\frac{1}{3} \sqrt{5} - \frac{1}{2} \sqrt{2}i) ² =

(\frac{1}{3} \sqrt{5} )² + 2(\frac{1}{3} \sqrt{5} \frac{1}{2} \sqrt{2})i - (\frac{1}{3} \sqrt{5}i) ² =

5/9 + \frac{1}{3} \sqrt{5} \sqrt{2} i - (5/9. (-1)) =

10/9 +  \frac{1}{3} \sqrt{10} i  

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X^2-10x+27 in the form (x-a)^2+B​
Irina18 [472]

Answer:

(x-5)^2+2

Step-by-step explanation:

To convert between standard and vertex form, you have to complete the square (which, as a reminder, (a+b)^2 = a^2+2ab+b^2).

Since a^2 is x^2, and 2ab is -10x, then b must be -5, so b^2 is 25. Therefore, we add and subtract 25 from the expression:

(x-10x+25)+27-25

Then, we can make (x-10x+25) to (x-5)^2:

(x-5)^2+2

4 0
4 years ago
Max points i need this for finals
sladkih [1.3K]

Answer:

Slope (m) = \frac{y}{x} = \frac{3}{1} =3

Step-by-step explanation:

Slope (m) = \frac{y}{x} = \frac{3}{1} =3

0 = arctan(\frac{y}{x}) + 180^o = 251.56505117708^o

X = -4 – -2 = -2

Y = 4 – 10 = -6

Distance (d) = \sqrt{x^2+y^2}=\sqrt{40} = 6.3245553203368

Equation of the line:

y = 3x + 16

When x=0, y = 16

When y=0, x = -5.3333333333333

5 0
2 years ago
Pls help;)))))))))))))))(
rewona [7]

Answer:

Option 2)

Step-by-step explanation:

In a function, any number can be an x-coordinate only once.

Option 1) The 2 appears twice as x.

Option 2) All x-coordinates are different.

Option 3) The 2 appears twice as an x-coordinate.

Option 4) The 3 appears twice as an x-coordinate.

Answer: Option 2)

4 0
4 years ago
Solve the equation
makkiz [27]
In this equation you have 3m+3=15 or 3m+3=-15. Solving for m on both you get m=4 or m=-6. The answer is D.

3 0
4 years ago
Given 5 + 2 = 7, Choose the related addition sentence that shows the commutative property of addition.
Serggg [28]
2+5 = 7 is <span>the related addition sentence that shows the commutative property of addition because it has the same result of addition as 5+2=7.
Commu</span><span>tative property of addition says that if we have two numbers we have interchange them and this doesnot affect the result....</span>
5 0
3 years ago
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