All categories

3 years ago

Find the conjugate and product of2-i5

Mathematics

1 answer:

WITCHER [35]3 years ago

3 0

Answer: $2+i5,\ 29$

Step-by-step explanation:

Given

Complex number is $2-i5$

Its conjugate is obtained by changing the sign of the original number i.e. $2+i5$

The product of the two numbers is

$\Rightarrow (2-i5)(2+i5)=2^2-(5i)^2\quad \quad [(x+y)(x-y)=x^2-y^2]\\\\\Rightarrow (2-i5)(2+i5)=4-25i^2\\\\\Rightarrow (2-i5)(2+i5)=4+25=29$

You might be interested in

Calculate the sum of the series whose partial sums are given.

aleksley [76]

When we calculate the sum of the series C∞, n=1 ∑ an
whose partial sums are given
sn = 2 − 9(0.9)ⁿ
We can get an answer which is 2.
It has an infinite number of terms, the infinite series. The partial sum is the sum of the first n terms, Sn. The answer in this question is 2.

7 0

3 years ago

The net worthw(t) of a company is growing at a rate of′(t) = 2000−121t2dollarsper year, wheretis in years since 1990.(a) If the

stiv31 [10]

Answer:

The worth of the company in 2000 is $56,000.

Step-by-step explanation:

The growth rate of the company is:

$f'(t)=2000-12t^{2}$

To determine the worth of the company in 2000, first compute the change in the net worth during the period 1990 (<em>t</em> = 0) to 2000 (<em>t</em> = 10) as follows:

$\int\limits^{10}_{0} {2000-12t^{2}} \, dt =\int\limits^{10}_{0} {2000} \, dt-12\int\limits^{10}_{0} {t^{2}} \, dt=2000 |t|^{10}_{0}-12|\frac{t^{3}}{3}|^{10}_{0}\\=(2000\times10)-(4\times10^{3})\\=20000-4000\\=16000$

The increase in the company's net worth from 1990 to 2000 is $16,000.

If the company's worth was $40,000 in 1990 then the worth of the company in 2000 is:

Worth in 2000 = Worth in 1990 + Net increase in company's worth

$=40000+16000\\=56000$

Thus, the worth of the company in 2000 is $56,000.

4 0

3 years ago

Square with area of 196 is reduced by a factor of 1/4

dalvyx [7]

Answer:

a = 14

Step-by-step explanation:

Area; 196

hope this helps.

3 0

2 years ago

Read 2 more answers

Malin and Shawn begin with the same number, t. Malin subtracts 6 from t and then divides the result by 6. Shawn adds 7 to t and

uysha [10]

T

adds 6
t-6

divides by 6
(t-6)/6

shawn
7+t

divide by 7
(7+t)/7

theyare equal

(t-6)/6=(7+t)/7
times 42 both sides
7(t-6)=6(t+7)
distribute
7t-42=6t+42
minus 6t both sides
t-42=42
add 42 both sides
t=84

7 0

3 years ago

Read 2 more answers

Ella and three friends run in a relay that is 14 miles long.Each person runs equal parts of the race.How many miles does each pe

sergeinik [125]

Each Person Runs: 3.5 miles.
14÷4= 3.5.

3 0

2 years ago

Read 2 more answers

Find the conjugate and product of2-i5 ​

Find the conjugate and product of2-i5