All categories

2 years ago

What is the standard form of (5+i)(6-5i)/2i(-3+7i)

Mathematics

1 answer:

Margaret [11]2 years ago

6 0

Answer:

Since all parts of 2i(-3+7i) is in the denominator, you have to use an extra set of parentheses around the whole denominator. this is what you do

(5+i)(6−5i) / (2i(−3+7i))

= (30−25i+6i−5i^2) / (−6i+14i^2)

= (35−19i) / (−14−6i)

= (35−19i)(−7+3i) / (2(−7−3i)(−7+3i))

= (−245+105i+133i−57i^2) / (2(49−9i^2))

= (−188+238i) / (2(58))

= (−188+238i) / 116

= −47/29 + 119/58 iso that is how you do it

You might be interested in

What is a valid prediction about the continuos function

Elodia [21]

Answer:

EX: f(x) ≥ 0 over the interval [-1, 1].

8 0

3 years ago

Tim's phone service charges $26.60 plus an additional $0.25 for each text message sent per month. if tim's phone bill was $32.85

Murljashka [212]

$26.60 + $0.25t= $32.85

To Solve:
$26.60 + $0.25t= $32.85
$26.60 - $26.60+ $0.25t= $32.85 - $26.60
$0.25t = $6.25
$0.25t/$0.25 = $6.25/ $0.25
t= 25

6 0

3 years ago

the math club is hoping to raise $108 at the harvest fair by selling lemonade. they exept to sell about 80 glasses if the weathe

EleoNora [17]

$1.35
because if they want to raise $108 and are going to sell 80 glasses then each drink should be $1.35X80=108
hope this helped:)

8 0

3 years ago

How can i adjust a quotient to slove a division problem?

Yakvenalex [24]

Divide all numbers to solve the problem

7 0

3 years ago

Given sin A = 12/13 and that angle A is in Quadrant 1,

UkoKoshka [18]

We have been given that $\text{sin}(A)=\frac{12}{13}$ and angle A is in quadrant 1. We are asked to find the exact value of $\text{cot}(A)$ in simplest radical form.

We know that sine relates opposite side of right triangle with hypotenuse.

$\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}$

This means that opposite side is 12 units and hypotenuse is 13 units.

We know that cotangent relates adjacent side of right triangle with adjacent side.

$\text{cot}=\frac{\text{Adjacent}}{\text{Opposite}}$

Now we will find adjacent side using Pythagoras theorem as:

$\text{Adjacent}^2=\text{Hypotenuse}^2-\text{Oppoiste}^2$

$\text{Adjacent}^2=13^2-12^2$

$\text{Adjacent}^2=169-144$

$\text{Adjacent}^2=25$

Let us take positive square root on both sides:

$\sqrt{\text{Adjacent}^2}=\sqrt{25}$

$\text{Adjacent}=5$

Therefore, adjacent side of angle A is 5 units.

$\text{cot}(A)=\frac{5}{12}$

Therefore, the exact value of cot A is $\frac{5}{12}$ .

5 0

3 years ago