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kumpel [21]
3 years ago
10

Simplify the following expression. (10-4i)(4-5i)+(-15+20i)

Mathematics
1 answer:
Vikki [24]3 years ago
3 0

Answer:

5-46i

Step-by-step explanation:

1. Multiply (10-4i) and (4-5i), I recomnd using foil:

40-50i-16+20i^2 + (-15+20i)

2. Remove the parenthesis around -15+20i

*we can do this since there is a "+":    

40-50i-16+20i^2 + (-15)+20

3. Simplify i^2

* i^2 is -1 by textbook defination:

40-50i-16+20(-1) + (-15)+20

4. Simplify

40-50i-16-20 + (-15)+20

6. Combine like terms:

-5-50i-16i+20i

5-46i

And the problem is done

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quinn is playing video games at a virtual reality game room . The game room charges 20 dollars for every 30 minutes of play time
USPshnik [31]

Answer:$100

Step-by-step explanation:

He need five periods of play time because 150 divided my 30 is 5. Then, you multiply 5 times the $20 because it is $20 for every 20 minutes.

Therefore, the answer is 20.

5 0
3 years ago
A rectangular building for a gym is three times as long as it is wide. Just inside the walls of the building, there is a 6ft rec
lisov135 [29]

The equation 3x² - 48x + 6856 represents the area of the gym and track together in terms of width.

<h3>What is the area of the rectangle?</h3>

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

We have:

A rectangular building for a gym is three times as long as it is wide. Just inside the walls of the building, there is a 6ft rectangular track along the walls of the gym and has an area of 7000ft²

Let x be the width of the rectangle.

As the area of track along the walls of the gym is 7000ft²

(x - 12)(3x - 12) = 7000

After simplifying:

3x² - 48x + 6856 = 0

Thus, the equation 3x² - 48x + 6856 represents the area of the gym and track together in terms of width.

Learn more about the rectangle here:

brainly.com/question/15019502

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3 0
1 year ago
Please help with this question
ELEN [110]

Answer:

r^2 * 1/s^4 * t^5

Step-by-step explanation:

r^2 * 1/s^4 * t^5

s^-4 = 1/s^4

7 0
3 years ago
Need help with this both please help me it due today at 11:59pm please will mark brainiest please
exis [7]

Answer:

c= -20

x= 38

Explanation:

Solve for x and c by simplifying both sides of the equation, then isolating the variable.  

hope this helps!

8 0
3 years ago
Solve<br> -20y + 15 = 2 - 19y + 11
andrey2020 [161]

Answer:

the answer to this equation is 2

4 0
3 years ago
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