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velikii [3]
3 years ago
15

How can we eliminate an imaginary from the denominator? Simplify 2/(3+5i) to demonstrate.

Mathematics
1 answer:
alexira [117]3 years ago
7 0
Multiply by the conjugate and simplify
3/17 - 5i/17

Hope this helps! :)
You might be interested in
A box of cereal is 13 ounces. About how many grams is it?
DaniilM [7]

1 ounce = 28.3495 grams

13 x 28.3495 = 368.544 grams

 round answer as needed

5 0
3 years ago
Beinggreat78 answer fast please :')
Dovator [93]

Answer:

17662.5 sq. feet

Step-by-step explanation:

We know that the formula for Area of a Circle is A = \pi (r)^2.

r = radius; d = diameter, which is r*2


And so, in the question, it gives you that the diameter is 150, first we divide it by 2 to get the radius.

150/2 = 75

The question said to keep \pi =3.14, so then we plug in the equation-

A = 3.14 * 75^2


Then we use PEMDAS [Parenthesis; Exponents; Multiply & Divide; Add & Subtract] which would get us-

A = 3.14 * 5625 (first doing the Exponent)

And we continue-

A = 17662.5 (then multiple)

So our answer is-

17662.5 sq. feet

I hope this helps!
Please give brainliest!

Have a great day

3 0
2 years ago
Read 2 more answers
Slope=1÷5; y intercep = -5
sertanlavr [38]
The equation is
y =  \frac{1}{5}  x  - 5
3 0
3 years ago
Please solve each of the following by factoring!
Oxana [17]

Answer:

see explanation

Step-by-step explanation:

(a)

x² - 36 = 0 ← is a difference of squares and factors as

(x - 6)(x + 6) = 0

equate each factor to zero and solve for x

x + 6 = 0 ⇒ x = - 6

x - 6 = 0 ⇒ x = 6

(b)

x² - 5x + 4 = 0

consider the product of the factors of the constant term (+ 4) which sum to give the coefficient of the x- term (- 5)

the factors are - 1 and - 4 , since

- 1 × - 4 = + 4 and - 1 - 4 = - 5 , then

(x - 1)(x - 4) = 0 ← in factored form

equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 4 = 0 ⇒ x = 4

(c)

x² - 2x = 3 ( subtract 3 from both sides )

x² - 2x - 3 = 0 ← in standard form

consider the product of the factors of the constant term (- 3) which sum to give the coefficient of the x- term (- 2)

the factors are + 1 and - 3 , since

1 × - 3 = - 3 and 1 - 3 = - 2 , then

(x + 1)(x - 3) = 0 ← in factored form

equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x - 3 = 0 ⇒ x = 3

(d)

6x² - 11x - 10 = 0

consider the product of the factors of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 6 × - 10 = - 60 and sum = - 11

the factors are + 4 and - 15

use these factors to split the x- term

6x² + 4x - 15x - 10 = 0 ( factor the first/second and third/fourth terms )

2x(3x + 2) - 5(3x + 2) = 0 ← factor out (3x + 2) from each term

(3x + 2)(2x - 5) = 0

equate each factor to zero and solve for x

3x + 2 = 0 ⇒ 3x = - 2 ⇒ x = - \frac{2}{3}

2x - 5 = 0 ⇒ 2x = 5 ⇒ x = \frac{5}{2}

6 0
2 years ago
Simplify.<br><br> −3+80÷8−5⋅(−1) plz help
Sliva [168]

Answer:

18

Step-by-step explanation:

-3 + 80 ÷ 8 -5 · (-1) ⇒ -3 + 10 + 5 ⇒ 18

5 0
3 years ago
Read 2 more answers
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