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nataly862011 [7]
3 years ago
6

SImplify to standard form (a+bi) (12-9i)²

Mathematics
1 answer:
olga2289 [7]3 years ago
5 0

Answer:

Hello,

Step-by-step explanation:

<u />

<u>Formula used (a+b)^2=a²+2ab+b²</u>

(12-9i)^2=3^2*(4-3i)^2\\\\=9*(16-9-24i)\\\\=9*(7-24i)\\\\=63-216i\\

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The six numbers in a set are 137, 128, 250, 136, 129, and 138. Which measures of the data increase when the outlier is included?
Leni [432]
Range increases. This is because range is the biggest number minus the smallest number. So when the biggest number is much bigger than the rest of the numbers, the range increases.
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3 years ago
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What is the solution of the system of equations? -y+3x=6 y=-6x+12
irinina [24]

Answer:

x = 2

y = 0

Step-by-step explanation:

We can solve using substitution, substitute y in the first equation with the second equation:

-(-6x + 12) + 3x = 6

Distribute the negative sign:

6x - 12 + 3x = 6

Combine like terms:

9x - 12 = 6

Isolate the variable and solve for x by adding 12 in both sides:

9x = 18

x = 2

Substitute 2 with x in any equation to find the value of y:

-y + 3(2) = 6

-y + 6 = 6

Subtract 6 in both sides to isolate the variable:

-y = 0

0/-1 = 0

y = 0

Our answer would be x = 2 and y = 0

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3 years ago
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What percent is shaded in the grid? Answer:​
Keith_Richards [23]
I can’t see a picture of the grid
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3 years ago
The numbering system we commonly use is called the decimal numbering system because it uses ____ symbols to represent all possib
mafiozo [28]

The numbering system we commonly use is called the decimal numbering system because it uses <u> 10 </u> symbols to represent all possible numbers.

A way of writing numbers is known as a number system.

There are the following number systems:

  1. Decimal number system: "Deci" meaning 10, implies that the number system consists of 10 digits or symbols, namely 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
  2. Binary number system: "Bi" meaning 2, implies that the number system consists of 2digits or symbols, namely 0, and 1.
  3. Octal number system: "Oct" meaning 8, implies that the number system consists of 8 digits or symbols, namely 0, 1, 2, 3, 4, 5, 6, 7, and 8.
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Hence, we can say that the numbering system we commonly use is called the decimal numbering system because it uses <u> 10 </u> symbols to represent all possible numbers.

Learn more about number systems at

brainly.com/question/14567654

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6 0
2 years ago
Determine if line AB and line CD are parallel, perpendicular, or neither.
choli [55]

Answer:

AB and CD are parallel lines

Step-by-step explanation:

• Parallel lines have equal slopes

• The slopes of perpendicular lines are negative reciprocals

Calculate the slope m using the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

let (x₁, y₁ ) = A(1, 4) and (x₂, y₂ ) = B(3, 8)

m = \frac{8-4}{3-1} = \frac{4}{2} = 2

let (x₁, y₁ ) = C(- 1, 6) and (x₂, y₂ ) = D(3, 14)

m = \frac{14-6}{3+1} = \frac{8}{4} = 2

Since slope of AB and CD are equal then lines are parallel


3 0
3 years ago
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