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Genrish500 [490]
3 years ago
11

Simplify: (3-4i)(1+5i)-(2-i) Show all of your work please

Mathematics
1 answer:
Rudik [331]3 years ago
8 0
So first you want to do the multiplication.

(3-4i)*(1+5i)

So what you want to do is multiply everything inside the parenthesis by everything inside the other parenthesis.

Or,

3 * 1 + 3 * 5i + -4i * 1 + (-4i) * 5i

Or,

3 + 15i + -4i - 20i

Then,

3 + -9i

3 - 9i - (2 - i)

Open the parenthesis, and since it has a minus before it reverse the operator inside of the parenthesis.

3 - 9i - 2 + i

Or,

1 - 8i


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You know that the two angles make up a perfectly flat line, which is a 180<span>° angle. So we can create the equation:'

3x + 10 = 12x

Now solve for 'x'. Subtract 3x to both sides:

10 = 9x

Divide 9 to both sides:

x = 10/9

We want to find the smaller angle, so put this value in for 'x' in '3x + 10':

3x + 10

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13 1/3</span><span>°</span>
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3 years ago
Six less than the quotient of a number and 4 is 15.
Artist 52 [7]

Answer:6 ÷ 4x = 15

Step-by-step explanation:

six is less than the quotient and quotient mean division, replace a number with a variable and put it with four and the you would put equal 15

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3 years ago
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Step-by-step explanation:

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2 years ago
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Determine the rate of change between the points (-1,-1) and (1,-1).
AVprozaik [17]

Answer:

\displaystyle m = 0

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

Coordinate Planes

  • Coordinates (x, y)
  • Slope Formula: \displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}

Step-by-step explanation:

*Note:

Rate of change is slope.

<u />

<u>Step 1: Define</u>

<em>Identify.</em>

Point (-1, -1)

Point (1, -1)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>.

  1. Substitute in points [Slope Formula]:                                                              \displaystyle m = \frac{-1 + 1}{1 + 1}
  2. [Order of Operations] Simplify:                                                                        \displaystyle m = \frac{0}{2}
  3. Simplify:                                                                                                             \displaystyle m = 0
4 0
2 years ago
What is the solution to the system of equations<br><br> y=2x-3.5<br><br> x-2y=-14
PIT_PIT [208]
Y-2x=-3.5
x-2y=-14
then multiply the first term by 2
2y-4x=-7
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then sum them
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x=-7
y=3.5
5 0
3 years ago
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