What is the distance of Point A (4-i) from the origin of the complex plane?

Will give brainiest algebra 2

mars1129 [50]

The sum of squares of numbers is: 13

Step-by-step explanation:

Let x and y be two numbers

Then,

Difference of the squares of the numbers will be:

$x^2-y^2$

Product will be:

$xy$

Given identity is:

$(x^2+y^2)^2=(x^2-y^2)^2+(2xy)^2$

Given values are:

Difference of the squares of the numbers= $x^2-y^2=5$

Product of numbers = xy = 6

Putting the values in the identity

$(x^2+y^2)^2=(5)^2+[2(6)]^2\\=25+(12)^2\\=25+144\\=169$

As we have to only find x^2+y^2

Taking square root on both sides

$\sqrt{(x^2+y^2)^2}=\sqrt{169}\\x^2+y^2=13$

The sum of squares of numbers is: 13

Keywords: Identities

Learn more about identities at:

#LearnwithBrainly

7 0

3 years ago

Mr. Park pays $1000 per month in rent. Before depositing his paycheck, his checking account balance was $359.47. After the depos

IrinaVladis [17]

Answer:

Mr Park has enough money to pay his rent.

Step-by-step explanation:

The amount of the monthly rent paid = $1000

The account balance after depositing the paycheck = $1441.33

Now, to pay the rent,account should have more than the rent money $1000

Also, $1441.33 > $1000

⇒ The amount in the bank after depositing the paycheck > The rent to be paid

Hence, Mr Park has enough money to pay his rent.

6 0

3 years ago

What is slope intercept form?

emmainna [20.7K]

Answer:

Step-by-step explanation:

The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept. In our equation, y = 6x + 2, we see that the slope of the line is 6.

Hope this helps :)

5 0

1 year ago

Read 2 more answers

The total cost (in hundreds of dollars) to produce x units of a product is c(x) = (3x-2) / (8x+1), find the average cost for eac

olya-2409 [2.1K]

Answer:

a) $\frac{74}{10025}$

b) $\frac{3x-2}{x(8x+1)}$

c) $\frac{-24x^2+32x-2}{(8x^2+x)^2}$

Step-by-step explanation:

For total cost function $c(x)$ , average cost is given by $\frac{c(x)}{x}$ i.e., total cost divided by number of units produced.

Marginal average cost function refers to derivative of the average cost function i.e., $\left ( \frac{c(x)}{x} \right )'$

Given: $c(x)=\frac{3x-2}{8x+1}$

Average cost = $\frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}$

a)

At x = 50 units,

$\frac{c(50)}{50}=\frac{150-2}{50(400+1)}=\frac{148}{50(401)}=\frac{74}{10025}$

b)

Average cost = $\frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}$

c)

Marginal average cost:

Differentiate average cost with respect to $x$

Take $f=3x-2\,,\,g=8x^2+x$

using quotient rule, $\left ( \frac{f}{g} \right )'=\frac{f'g-fg'}{g^2}$

Therefore,

$\left ( \frac{c(x)}{x} \right )'=\left ( \frac{3x-2}{8x^2+x} \right )'\\=\left ( \frac{3(8x^2+x)-(16x+1)(3x-2)}{(8x^2+x)^2} \right )\\=\frac{24x^2+3x-48x^2-3x+32x+2}{(8x^2+x)^2}\\=\frac{-24x^2+32x-2}{(8x^2+x)^2}$

3 0

3 years ago

Can any one help me with this problem

katrin [286]

Answer:

37.74 ft

Step-by-step explanation:

An angle and its opposite side are known

Sin (of the angle)= opposite/ hypotenuse

The hypotenuse is equal to the length of the ladder, therefore solve the hypotenuse

Sin (32)= 20/ hypotenuse

hypotenuse= 20/ Sin (32)

Sin (32)=0.5299

hypotenuse= 20/ 0.5299

37.74 ft

Hopefully this helps :)

3 0

3 years ago