Write (5+2yi)(4-3i)-(5-2yi)(4-3i) on a+bi form, where y is a real number

Answers

Answer 1

Answer: the answer is attached here

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Alan has scored 99, 85, and 74 on his previous three tests. What score does he need on his next test so that his average (mean) is 83?

Answers

(99+85+74+x)/4=83
multiply both by 4
99+85+74+x= 332
258+x=332
subtract 258 both sides
x= 74

He must get a 74.

To check answer:
99+85+74+74= 332
332/4 = 83

It’s right!

Hope it helps

T Object]Which of the following is a true statement about the Marshall Plan?
A. It was designed to aid poor people in the United States.
B. It was implemented in 1954.
C. It was named after Truman's Secretary of State.
D. It gave Europe exactly $100 million dollars in aid.

Answers

♥C. It was named after Truman's Secretary of State.♥
A. It was designed to aid poor people in the United States. False
B. It was implemented in 1954. False
C. It was named after Truman's Secretary of State. True
D. It gave Europe exactly $100 million dollars in aid. False

C. It was named after Truman's Secretary of State

What is 17/100 into a decimal

Answers

The answer is 0.17. To convert fraction to a decimal, you must divide a numerator by a denominator. In 17/100, 17 is the numerator and 100 is the denominator, thus 17/100 = 17 : 100. When you divide by 100, put the decimal spot two spaces from the right-hand side because 100 has two zeros. Therefore: 17/100 = 17 : 100 = 0.1Hope this helps. Let me know if you need additional help!

Answer: 0.17

Step-by-step explanation: To write 17/100 as a decimal, remember that the hundredths place is two places to the right of the decimal point.

This means that 17/100 can be written as the decimal 0.17. Notice that we put the last digit of 19 in the hundredths place.

Giselle works as a carpenter and as a blacksmith. She earns $20\$20 $20 dollar sign, 20 per hour as a carpenter and $25\$25 $25 dollar sign, 25 per hour as a blacksmith. Last week, Giselle worked both jobs for a total of 3030 30 30 hours, and earned a total of $690\$690 $690 dollar sign, 690 . How long did Giselle work as a carpenter last week, and how long did she work as a blacksmith? Giselle worked as a carpenter for hours and as a blacksmith for hours last week.

Answers

c = # of carpenter hrs , b = # of blacksmith hrs

c + b = 30...c = 30 - b
20c + 25b = 690

20(30 - b) + 25b = 690
600 - 20b + 25b = 690
-20b + 25b = 690 - 600
5b = 90
b = 90/5
b = 18 <== hrs worked as blacksmith

c + b = 30
c + 18 = 30
c = 30 - 18
c = 12 <== hrs worked as carpenter

Answer:

Carpenter: 12 hours and Blacksmith: 18 hour

Step-by-step explanation:

How do you know if a quadrilateral is a parallelogram?

Answers

If a quadrilateral is a parallelogram then opposite sides are parallel. For example, look at the diagram I provided below. If quadrilateral A,B,C,D is a parallelogram, then side A,B is parallel to side D,C. Also, side A,D must be parallel to side B,C.

Hey there! :D So you're wondering how you can tell if a quadrilateral is a parallelogram, right? Well, you are about to find out! The way you can tell whether a quadrilateral is a parallelogram because we know that a quadrilateral has 4 sides, right? And a parallelogram is a figure with opposite sides that never intersect or cross. So for example, a square is a quadrilateral and it has 4 equal sides and if we extend the lines horizontally, the would not cross.

I hope this makes sense to you! Have a good evening!(If you are in the US, but if you aren't, good morning!) :D

Please solve the following quadratic equation and show your work: x^2 -x =30

Answers

Rewriting the equation as a quadratic equation equal to zero:
x^2 - x - 30 = 0
We need two numbers whose sum is -1 and whose product is -30. In this case, it would have to be 5 and -6. Therefore we can also write our equation in the factored form
(x + 5)(x - 6) = 0
Now we have a product of two expressions that is equal to zero, which means any x value that makes either (x + 5) or (x - 6) zero will make their product zero.
x + 5 = 0 => x = -5
x - 6 = 0 => x = 6
Therefore, our solutions are x = -5 and x = 6.

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A box of oranges weighs 4 kg. If one orange weighs 80 g, how many oranges are in the box?