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masha68 [24]
3 years ago
13

Simplify the expression: (5 - 4i) (6 - 2i).

Mathematics
1 answer:
Andreyy893 years ago
8 0

Answer:

22 - 34i

Step-by-step explanation:

note that i² = - 1

Given

(5 - 4i)(6 - 2i) ← expand factors using FOIL

= 30 - 10i - 24i + 8i²

= 30 - 10i - 24i - 8 ← collect like terms

22 - 34i

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marin [14]
Let us find the slopes of the two lines

ax+by=c, slope m1 = -a/b

bx-ay=c, slope m2 = b/a

m1*m2 = (-a/b)(b/a) = -1

Therefore the two lines are perpendicular so the answer is D
4 0
3 years ago
kylie is 6 years younger than her brother. The sum of their ages is 22. How old is Kylie? How old is her brother
Nat2105 [25]
Kylie is 8 and her Brother is 14
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5 0
3 years ago
Change the equation to slope intercept form and identity the slope and y-intercept -8x+2y=6
gulaghasi [49]

The answer is:

y=4x+3

The slope is: 4

The y-intercept is: 3

The explanation is shown below:

1. The slope intercept form of the linear equation is:

y=mx+b

Where m is the slope and b is the y-intercept.

2. Therefore, you must solve for <em>y</em>, as following:

-8x+2y=6\\y=\frac{8x+6}{2}\\y=4x+3

m=4\\b=3

8 0
3 years ago
Read 2 more answers
Please help! i will give u 20 points I need the answer with the method
olga55 [171]

Answer:

6 mm

Step-by-step explanation:

So, the area he needs to fill isn't really important, you don't need to calculate it. What is necessary is the individual dimensions of that area (width/length). The width and the length must be divisible by the lengths of the tiles. This is so you don't need to cut anything. For example let's say the area needed to be filled was 15 mm (width) by 10 mm (length). If I chose 3mm square tiles, it could perfectly fill up the width, but when it came to the length there would be a small 1 mm gap. And you would need to cut one of the square tiles, so it would have a length of 1 mm. In this case the 15mm was divisible by 3, but the 10 mm wasn't. So using this logic, it can't be the 4 mm square tile since 150mm / 4 mm = 37.5. It can be the 6m since 150mm / 6mm = 25 and 180 mm / 6mm = 30. It can't be the 8 mm since 150 mm / 8mm = 18.75 mm

5 0
2 years ago
I need help with this equation: <br><br> 12x+15=99
statuscvo [17]

Answer:

=7

Step-by-step explanation:

3 0
3 years ago
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