Recall the symbol Z represents the complex conjugate of z. If z=a+bi and w=c+di show that the statement is true zw=z*w

Answers

Answer 1
Answer: z = a + bi
w = c + di

zw = (a + bi)(c + di)
zw = a(c + di) + bi(c + di)
zw = a(c) + a(di) + bi(c) + bi(di)
zw = ac + adi + bci + bdi²
zw = ac + adi + bci + bd(-1)
zw = ac + adi + bci - bd

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Which ordered pair is a solution of the equation y = x – 3? (–2, 5) (–5, 2) (2, 5) (5, 2)

Given the following m(x)=5x-3​

Answers

x = - 3/m-5 im pretty sure if your looking for x

If o is in the middle of l t, where exactly is it located? If l t =16 cm, what is l o and o t

Answers

Answer:

LO = OT = 8cm

Step-by-step explanation:

Given

LT = 16cm

Required

Determine LO and OT

First, we have:

LO + OT = LT

From the question, we understand that O is the middle of LT

This implies that LO = OT

Substitute OT for LO in the above formula

OT + OT = LT

2OT = LT

Divide both sides by 2

OT = (1)/(2)LT

Substitute 16cm for LT

OT = (1)/(2) * 16cm

OT = 8cm

Recall that LO = OT

So;

LO = OT = 8cm

Solve this equation -9h-6+12h+40=22

Answers

-9h - 6 + 12h + 40 = 22
3h + 34 = 22
3h = -12
h = -12/3
h = -4
-9h-6+12h+40=22\n\n(-9h+12h)+(-6+40)=22\n\n3h+34=22\ \ \ |subtract\ 34\ from\ both\ sides\n\n3h=-12\ \ \ \  \ \ |divide\ both\ sides\ by\ 3\n\n\boxed{h=-4}

In a school 3/5are boys. In a day 1/6 were absent and 250 boys were present. How many girls are in that school

Answers

Answer:

There are 200 girls in that school

Step-by-step explanation:

The correct and complete question is as folly;

In a school 3/5 pupils are boys. One day 1/6 of the boys were absent when 250 boys were present. How many girls are in the school?

SOLUTION

Let the total number of students in the school be x students

Since 3/5 are boys , then the number of girls in the school would be 1-3/5 = 2/5

The number of boys are 3/5 * x = 3x/5

The number of girls are 2/5 * x = 2x/5

Now on a particular day, 1/6 of the boys were absent and 250 boys were present.

What this means is that the fraction of boys present is 1-1/6 = 5/6

Now, 5/6 of the total boys population were present.

Mathematically;

5/6 * 3x/5 = 250

3x/6 = 250

x/2 = 250

x = 2 * 250 = 500

So there are 590 students in the school.

The number of girls in the school is ;

2x/5 = 2/5 * 500 = 200 girls

How many gallons are in 161.25 sq ft

Answers

There are none. "Square foot" is a unit of area, not volume. 
Square feet are flat, and can't hold water.

If you meant to ask about 161.25 CUBIC feet, I can help you there:

(161.25 ft³) x (1,728 in³/ft³) x (1 gallon/231 in³) = 1,206.234 gallons (rounded)
i got 1206.23cubic feet when i tryed this problem hope this helped

What is the answer ​

Answers

I think it’s also 20 degrees.

Answer:

it's most likely D because 80 plus 80 equals 160 plus 20 is 180