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Alona [7]
3 years ago
14

Write the expression as a complex number in standard form.

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
3 0

Answer:

15+2i

Step-by-step explanation:

Hi there!

We are given the following expression:

(7-4i) + (8+6i)

And we want to write it as a complex number in standard form

Standard form is <u>a+bi</u>, where a is the real part of the number and bi is the imaginary part of the number.

We can open up the parentheses on the expression

7-4i+8+6i

Now combine the like terms (add 8 and 7 together, then add -4i and 6i together)

<u>15+2i </u>

The complex number is now in standard form

Hope this helps!

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3n^2-1 find the 2nd and 5th term
Butoxors [25]

Answer:

2nd term = 11

5th term = 74

Step-by-step explanation:

3n² - 1

n = 2 , 2nd term = 3*2²  - 1

                           = 3*4 -1

                          = 12 - 1

                          = 11

n= 5 , 5th term = 3*5² - 1

                        = 3*25 - 1

                      = 75 - 1

                      = 74

7 0
3 years ago
Read 2 more answers
Solve. Write the solution in interval notation. -2x&gt;-8 and -5x&lt;20.
Novosadov [1.4K]

Answer:

The interval notation of the solution is (-4 , 4)

Step-by-step explanation:

* Let us explain a very important point in solving inequality

- When you multiply or divide an inequality by negative number we

   must reverse the symbol of the inequality

- Ex:

∵ 2 < 3

- If we multiply the both sides of the inequality by -1, then the

  inequality will be -2 < -3 and this is completely wrong, so we must

  reverse the symbol of the inequality

∴ -2 > -3

* Now let us solve the problem

∵ -2x > -8

- Divide both sides by -2 and remember to reverse the symbol of the

  inequality

∴ x < 4

∵ -5x < 20

- Divide both sides by -5 and remember to reverse the symbol of the

  inequality

∴ x > -4

- From both solutions

∴ -4 < x < 4

∴ The solution is {x : -4 < x < 4}

- Interval notation is a way of writing the solutions of inequalities

 ( , ) if x does not equal the end numbers

 [ , ] if x equals the end numbers

 [ , ) , ( , ] if x equals one of the two end numbers

* The interval notation of the solution is (-4 , 4)

4 0
3 years ago
An arithmetic sequence begins as follows: a1=13 a2=19 Which of the following gives the definition of its nth term?
Otrada [13]

Answer:

the nth term of the sequence is a_n=6n+7

Step-by-step explanation:

Given : An arithmetic sequence begins as follows: a_1=13, a_2=19

To find : Which of the following gives the definition of its nth term?

Solution :

The nth term of the A.P is a_n=a+(n-1)d

The first term is a=a_1=13

The common difference is d=a_2-a_1

d=19-13=6

Substitute in the formula,

a_n=13+(n-1)6

a_n=13+6n-6

a_n=6n+7

Therefore, the nth term of the sequence is a_n=6n+7

5 0
3 years ago
a scaled drawing of a rectangular park is 5 inches wide and 7 inches long. the actual park is 210 yards long. what is the width
VMariaS [17]

Answer:

I think the width would be 150 yd

Step-by-step explanation:

just broke down the 210 yd we had already to inches found out how much it was scaled up and did the same on the other side

6 0
3 years ago
Read 2 more answers
Solve for x. X/3 = 5/8
Aleks04 [339]
The best way to solve this one would be simple cross multiplying. Multiply the top of one side with the bottom of the other side. In this problem you need to multiply X with 8 and multiply 3 with 5. You'll get an equation of 8X=15, then divide both sides by 8 so that you get X by itself. Your answer will them be X=1.875
3 0
3 years ago
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