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Vadim26 [7]
3 years ago
9

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

Mathematics
2 answers:
Helga [31]3 years ago
8 0

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

Illusion [34]3 years ago
3 0

Answer:

Write the following quotient in the form a+bi.

-7i/2-7i

Step-by-step explanation:


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What is a simple formula to solve a math sequence? Or a couple formulas if possible? Thanks!
-Dominant- [34]
2 normal types of sequences:

1. arythmetic sequences: each term is the same distance to the next term, example, 2,4,6,8, distance is 2

2. geometric sequences: the ratio of consecutive terms is the same, example: 2,4,8,16, ratio is 4:2=2:1, 2/1=2


the nth term is denoted by a_{n}
the first term is represented by a_{1}

for arythmetic sequences, the nth tem is
a_{n}=a_{1}(n-1)d where d=distance between each term

for geometric sequences the nth term is
[tex] a_{n}=a_{1}r^{n-1} where r=ratio betwen consecutive terms

7 0
3 years ago
Alexander mixed 3 1/4 ounces of red pain and 2 3/4 ounces of white paint to make a batch of pink he need 25 ounces of pink paint
Anestetic [448]

Answer:

2

Step-by-step explanation:

6 0
3 years ago
X = 3y - 6
Vlad1618 [11]
X = 3y - 6....so sub 3y - 6 in for x in the other equation

2(3y - 6) - 4y = 8
6y - 12 - 4y = 8
2y = 8 + 12
2y = 20
y = 20/2
y = 10

x = 3y - 6
x = 3(10) - 6
x = 30 - 6
x = 24

solution is (24,10)
4 0
3 years ago
The question is the photo
Readme [11.4K]
For this question you can say:
5/9( °F - 32) = -10 °C
so now you should solve the equation:
5F/9 - 160/9 = -10 
⇒ 5F/9 = -10 + 160/9 ⇒ 5F/9 = -90/9 + 160/9 ⇒ 5F/9 = 70/9 ⇒ now you can multiply both sides of the equation by 9 so you will have:
5F = 70 ⇒ F = 14 ° F :)))
i hope this is helpful
have a nice day 
6 0
3 years ago
Liana is making muffins.she uses 2 cups to make 12 muffins. How much flour is needed for each muffin
vichka [17]

Solution is in image

7 0
3 years ago
Read 2 more answers
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