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3 years ago

Calculate the distance between (-2 - 5i) and (1 + 3i)

Mathematics

1 answer:

Andru [333]3 years ago

4 0

Answer:

d = sqrt(73)

d is approximately 8.544003745

Step-by-step explanation:

To find the distance we use the formula

d = sqrt ( (x2 -x1)^2 + (y2-y1)^2)

where x are the real coordinates and y is the imaginary coordinates

d = sqrt ( (1--2)^2 + (3--5)^2)

d = sqrt ( (1+2)^2 + (3+5)^2)

d = sqrt ( (3)^2 + (8)^2)

d = sqrt( 9+64)

d = sqrt(73)

d is approximately 8.544003745

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Determine the total annual FICA tax for an annual salary of $165,000. Use $106,800 for maximum taxable earnings.

Naya [18.7K]

It will be b because

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2 years ago

Simplify: (3) + (-4)

nikitadnepr [17]

Answer:

it should -1 because you have to evaluate the number

3 0

2 years ago

Let A be a set of numbers.

LUCKY_DIMON [66]

Answer:

a. closed under addition and multiplication

b. not closed under addition but closed under multiplication.

c. not closed under addition and multiplication

d. closed under addition and multiplication

e. not closed under addition but closed under multiplication

Step-by-step explanation:

Let A be a set of all integers divisible by 5.

Let $x,y$ ∈A such that $x=5m\,,\,y=5n$

Find $x+y,xy$

$x+y=5m+5n=5(m+n)$

So, $x+y$ is divisible by 5.

$xy=(5m)(5n)=25mn=5(5mn)$

So,

$xy$ is divisible by 5.

Therefore, A is closed under addition and multiplication.

Let A = { 2n +1 | n ∈ Z}

Let $x,y$ ∈A such that $x=2m+1\,,\,y=2n+1$ where m, n ∈ Z.

Find $x+y,xy$

$x+y=2m+1+2n+1=2m+2n+2=2(m+n+1)$

So,

$x+y$ ∉ A

$xy=(2m+1)(2n+1)=4mn+2m+2n+1=2(2mn+m+n)+1$

So,

$xy$ ∈ A

Therefore, A is not closed under addition but A is closed under multiplication.

$Let A=\{2,5,8,11,14,...\}$

Let $x=2,y=5$ but $x+y=2+5=7$ ∉A

Also,

$xy=2(5)=10$ ∉A

Therefore, A is not closed under addition and multiplication.

Let A = { 17n: n∈Z}

Let $x,y$ ∈ A such that $x=17n,y=17m$

Find x + y and xy

$x+y=17n+17m=17(n+m)$

$xy=(17m)(17n)=289mn=17(17mn)$

So,

$x+y,xy$ ∈ A

Therefore, A is closed under addition and multiplication.

Let A be the set of nonzero real numbers.

Let $x,y$ ∈ A such that $x=-1,y=1$

Find x + y

$x+y=-1+1=0$

So,

$x+y$ ∈ A

Also, if x and y are two nonzero real numbers then xy is also a non-zero real number.

Therefore, A is not closed under addition but A is closed under multiplication.

4 0

3 years ago

Every four years is a leap year. If a year is randomly chosen, what is the probability that it will NOT be a leap year?

Aloiza [94]

Answer:

3/4.

Step-by-step explanation:

There are 3 non leap years in every 4 year period so it s 3/4.

5 0

3 years ago

What is 9*10000000000000000000000000000000000000000000000?

zheka24 [161]

You would get 9e+46 so not a real answer, just an estimate of what the answer is.

4 0

3 years ago

Read 2 more answers