All categories

2 years ago

Compute (3+ 4i) − (7 − 20i).

Mathematics

1 answer:

Sonbull [250]2 years ago

6 0

Answer:

-4 + (24) i

Step-by-step explanation:

given,

(3+ 4 i) − (7 − 20 i)

for the given complex number

if the number is added of subtracted the real part will add or subtract to the real part and imaginary will add or subtract to the imaginary part.

now

(3+ 4 i) − (7 − 20 i)

= (3 - 7) + (4-(-20)) i

= -4 + (24) i

so, the given answer will be -4 + (24) i

You might be interested in

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Line m has no y

goblinko [34]

If the line does not have a y int, then it means it does not cross the y axis....that means it is a vertical line.....its x int is (3,0)...so this equation for the line is x = 3

if the line does not have an x int, it means it does not cross the x axis...that means it is a horizontal line...its y int is (0,-4)...so the equation for this line is
y = -4

4 0

3 years ago

Read 2 more answers

Student performance across discussion sections: A professor who teaches a large introductory statistics class (197 students) wit

adell [148]

Answer:

The test is not significant at 5% level of significance, hence we conclude that there's no variation among the discussion sections.

Step-by-step explanation:

Assumptions:

1. The sampling from the different discussion sections was independent and random.

2. The populations are normal with means and constant variance

$H_0:$ There's no variation among the discussion sections

$H_1:$ There's variation among the discussion sections

$\alpha =0.05$

Df Sum Sq Mean sq F value Pr(>F)

Section 7 525.01 75 1.87 0.99986

Residuals 189 7584.11 40.13

Test Statistic = $F= \frac{75}{40.13} =1.87$

$Pr(>F) = 0.99986$

Since our p-value is greater than our level of significance (0.05), we do not reject the null hypothesis and conclude that there's no significant variation among the eight discussion sections.

3 0

3 years ago

Allyson accidentally missed her turn on her way to visit her aunt. By the time she realized her mistake, she had been driving fo

olya-2409 [2.1K]

Answer:

can u convert this to miles?

Step-by-step explanation:

6 0

3 years ago

Match the English word or phrase to its math equivalent.

nydimaria [60]

Sum is addition, less than is subtraction, equals is is, division is of and multiplication is per

5 0

3 years ago

Please help

user100 [1]

Answer:

Length of garden will be 30 metres.

Step-by-step explanation:

Let the Width of garden be x metres.

then,

Length of garden will be (x+6) metres.

Area = Length × Breadth

720 = x X (c+6)

720 = x²+6x

0 = x²+6x-720

As we can see above equation is a quadratic equation in the form of ax²+bx+C.

so,

$= \frac{ - b ± \sqrt{{b}^{2} - 4ac} }{2a} \\ = \frac{ - 6 ± \sqrt{{6}^{2} - 4 \times 1 \times - 720} }{2} \\ = \frac{ - 6 ± \sqrt{36 + 2880} }{2} \\ = \frac{ - 6 ± \sqrt{2916} }{2} \\ = \frac{ - 6 ± 54}{2}\\= \frac{-6+54}{2} ... \frac{ - 6 - 54}{2} \\ = \frac{48}{2} ... \frac{ - 60}{2} \\ = 24... - 30$

One of the Roots of the Quadratic equation is 24 and other is -30.

And as we know width of any garden cannot be negative so the width of garden will be 24 metres.

As we got the width,

adding 6 to it will give us the Length,

So,

24 metres + 6 = 30 metres.

Length of the garden is 30 metres.

Hope It Helped You ;)

Follow me on Instagram,

@khuturr_

8 0

3 years ago