2 years ago

PLEASEEEEEE HELP DUE AT 2:40

Mathematics

1 answer:

tatuchka [14]2 years ago

8 0

That’s all it is not really understanding

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Write the following quotient in the form a+bi.<br> -7i/2-7i

Helga [31]

Answer:

$\large\boxed{\dfrac{49}{53}-\dfrac{14}{53}i}$

Step-by-step explanation:

$\text{Use}\\\\i=\sqrt{-1}\to i^2=-1\\\\(a-b)(a+b)=a^2-b^2\to(a-bi)(a+bi)=a^2+b^2\\\\\text{distributive property}\ a(b+c)=ab+ac\\---------------------\\\\\dfrac{-7i}{2-7i}=\dfrac{-7i}{2-7i}\cdot\dfrac{2+7i}{2+7i}=\dfrac{-7i(2+7i)}{2^2+7^2}=\dfrac{(-7i)(2)+(-7i)(7i)}{4+49}\\\\=\dfrac{-14i-49i^2}{53}=\dfrac{-14i-49(-1)}{53}=\dfrac{-14i+49}{53}\\\\=\dfrac{49}{53}-\dfrac{14}{53}i$

8 0

2 years ago

Read 2 more answers

Simplify:0.3(x-2y)+0.5x-y

astraxan [27]

Answer:

0.3[x-2y] + 0.5x - y

Use the distributive property: a(b-c) = ab - ac

0.3x - 0.6y + 0.5x - y

Now, add/subtract all like terms

0.3x + 0.5x - 0.6y - y

0.8x - 1.6y

If you want, we can simplify that down further to:

0.8(x - 2y)

7 0

3 years ago

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8. On Monday, 301 students went on a trip to the zoo. All 7 buses were filled and 7 students had to travel in

tankabanditka [31]

Answer:

42 Kids

Step-by-step explanation:

1st you have to subtract 7 form 301 so you get 294

2nd you divide 294 by 7 294/7

And you should get an answer of 42 Kids

5 0

2 years ago

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What does 4+9+(16 divide 4-8-3) x 5 equal?

stellarik [79]

Answer:

-22

Step-by-step explanation:

4 + 9 + (16 ÷ 4 - 8 - 3) × 5

= 13 + (4 - 8 - 3) × 5

= 13 - 7 × 5

= 13 - 35

= -22

7 0

3 years ago

F the range of the function f(x) = 7x – 2.7 is {14.1, 30.9, 41.4, 58.9, 68}, what is its domain?

grigory [225]

You need to solve 5 equations
1. 7x - 2.1 = 14.1
2. 7x - 2.1 = 30.9 and so on

1. 7x - 2.1 = 14.1
7x = 16.2
x = 2.314 so first number in the domain is 2.314

You can calculate the other 4 in the same way

7 0

2 years ago