To solve this problem you must apply the proccedure shown below:
1. You have the following expression:
(3+3i)-(13+15i)
2. If you want to substract both terms, you need to substract the real numbers and the complex numbers. Then, you obtain:
3+3i-13-15i
(3-13)+(3i-15i)
3. Then, you obtain the following result:
-10-12i
4. Therefore, as you can see, the correct answer is the last option (option D), which is:
D. -10-12i
The total amount of money is 65x + 10 cents.
<h3>Sum of coins</h3>
Given the following coins value
x dimes, (x+2) nickels, and 2x quarters
If value of a dime is 10 cents, nickel is 5 cents, and a quarter is 25 cent, the the total coin is cent is expressed as 10x + 5(x + 2) + 25(2x)
Total in cents. = 10x + 5(x + 2) + 25(2x)
Total in cents = 10x + 5x + 10 + 50x
Simplify
Total in cents = 65x + 10
Hence the total amount of money is 65x + 10 cents.
Learn more on cents to dimes here: brainly.com/question/6810598
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Answer:
x = 111°
Step-by-step explanation:
We know that angles in a triangle add up to 180°
Step 1: Find angle supplementary to <em>x</em>
82 + 29 + x = 180
111 + x = 180
x = 69°
Step 2: Find angle <em>x</em>
Both the angles are supplementary, meaning they add up to 180°.
x + 69 = 180
x = 111°
Answer:
Start at the y-intercept (0, -4.5) and then use rise over run (Up 3 and right 4)
Step-by-step explanation:
y - y1 = m(x - x1)
y + 3 = 3/4(x - 2)
y + 3 = 3/4x - 3/2
y = 3/4x - 9/2
Answer:
x = 3 twice
Step-by-step explanation:
x^2 = 6x - 9
Rewrite by subtracting 6x from both sides and add 9 to both sides.
x² - 6x + 9 = 0
Factorise by finding factor of +9 that add up to -6
These factors are -3 and -3 that is
-3 -3 = -6 and -3×-3 = 9
Rewrite equation
x² - 3x - 3x + 9 = 0
x ( x-3) -3(x -3) = 0
Therefore
(x -3)(x-3) = 0
x - 3 = 0 or x - 3 = 0
x = 3 or x = 3
x = 3 twice
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