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Mademuasel [1]
4 years ago
14

Can someone help me solve this problem?

Mathematics
1 answer:
dlinn [17]4 years ago
5 0
(3 + i)^2 * (1 -  2i)^2
==============
( 1 + 2i)^2 * ( 1 - 2i)^2

Let's work on the denominator first.
((1 + 2i)(1 - 2i))^2
(1 - 4i^2)^2
(1 + 4)^2
25

now work on the numerator which does not look very nice.

((3 + i)(1 - 2i))^2
(3 -  6i + i - 2(i)^2 )^2
(3 - 6i + i + 2)^2
(5 - 5i)^2
25(1 - i)^2
25(1 - 2i + i^2)
25 (-2i)
-50i

Now put the two parts together
-50i / 25 = - 2i

There might be a shorter way to do this, but I don't know what it might be.

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The attendence at a water park varies directly as the temperature and invesely as the number of days of rain during the month. I
Margarita [4]
Let A be attendance, t the temperature and n the number of days. Then,
A\alpha\frac{t}{n}
A=k\frac{t}{n}
Where k is a constant of proportionality;
If A=3200, T=88 and n=8, then k,
3200=\frac{88k}{8}
3200=11k
k=\frac{3200}{11}
Rewriting the equation and replacing the value of k,
A=\frac{3200t}{11n}
When t=92 and n=12
The A= \frac{3200*92}{11*12}
A=\frac{294400}{132}
A= 2231
5 0
3 years ago
You can rent time on computers at the local copy center for a $7 setup charge and an additional $1.75 for every 5 minutes. How m
Vera_Pavlovna [14]

For 46 minutes you can use the computer for $23.

Given that, you can rent time on computers at the local copy centre for a $7 setup charge and an additional $1.75 for every 5 minutes.

We need to find how much time can be rented for $23.

<h3>What is a linear equation?</h3>

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant.

Now, every minute charge=1.75/5=$0.35

Let time used be t, so we can write an equation as

7+0.35t=23

Solve the equation for t.

That is, 0.35t=16

⇒t=16/0.35=45.714

⇒t=45.714≈46 minutes

Therefore, for 46 minutes you can use the computer for $23.

To learn more about the linear equation visit:

brainly.com/question/14362668.

#SPJ1

5 0
2 years ago
If y = -x and x + 6y = 30, what is the<br> value of x?
jekas [21]

Answer:

x = -6

Step-by-step explanation:

y = -x  equation 1

x + 6y = 30   equation 2

using equation 1 in equation 2 we have:

x + 6(-x) = 30

x - 6x =30

-5x = 30

x= -30/5

x= -6

8 0
3 years ago
What is the slope of a line parallel to a line with equation 2x - 5y = 9
Aleonysh [2.5K]
First take and get the slope of the line. If the slope is equal to an option then that's your answer. Hope I helped!
5 0
3 years ago
Quadratic equations Please Help Me!!!!!!
igor_vitrenko [27]

The roots are 1 +√7 and 1 -√7.

<h3>What is Quadratic equation?</h3>

A quadratic equation in the variable x is an equation of the form ax² + bx + c= 0, where a, b, c are real numbers, a≠0

Given equation:

y= x²+2x-6

First,

Half the coefficient of x and add and subtract the square of (b/2)

y= x²+2x-6+(1)²-(1)²

y= x²+2x+(1)² -6 -(1)²

y= (x+1)² -7

Now, equate y=0

(x+1)² -7 =0

(x+1)² = 7

x+1= ±√7

x=1 ±√7

Hence, the roots are 1 +√7 and 1 -√7.

Learn more about quadratic equation here:

brainly.com/question/1962219

#SPJ1

7 0
2 years ago
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