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

Answers

Answer 1

Answer: (5+2 i)(4-3i) - (5-2yi)(4-3i)

Factorize out (4 -3i)

(4 -3i)( (5 +2i) - (5 -2yi) )

= (4 -3i)(5 +2i - 5 + 2yi)

= (4 -3i)(5 - 5 + 2i + 2yi)

= (4 -3i)(2i + 2yi)

= (4 - 3i)(2 + 2y)i. Let's multiply the first two.

(4 - 3i)(2 + 2y) = 2*(4 -3i) + 2y*(4 - 3i)
      = 8 - 6i + 8y - 6yi
      = 8 + 8y - 6i - 6yi

(4 - 3i)(2 + 2y)i = (8 + 8y - 6i - 6yi)i Note: i² = -1
   = 8i + 8yi - 6i² - 6yi²
   = 8i + 8yi - 6(-1) - 6y(-1)
   = 8i + 8yi + 6 + 6y
   = 6 + 6y + 8i + 8yi
   = (6 + 6y) + (8 + 8y)i In the form a + bi

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**WILL GIVE MEDAL!!!**A car traveling on a highway is 60 miles away from home after 1 hour, and is 300 miles away from home after 5 hours. What is the rate of change of the car’s distance over time?

a. 1/60 mph
b. 15/2 mph
c. 55mph
d. 60 mph

Answers

If the car is traveling 60mph and is 300 miles away after 5 hours, the rate of change here is to divide 5 by 300. The answer is 60 (D). The problem here would look like 300/5=60. So the rate of change of the car's distance over time would be 60.

hi hope you are well can someone give the answers will mark as brainliest as soon as I am done with this assignment

Answers

Answer:

41) 10

42) 65

43) 26

44) 33

45)65

41.)10

42.) 65

43.)26

44.)33

45.)65

hoped that helped:)

A salesman bought 2 dozen television sets at $300 each. He sold two-thirds of them ata 25% proﬁt but was forced to take a 30 % loss on the rest. What was his total proﬁt (or
loss) on the television sets?

Answers

Well, the first 16 were about 16*75=$1200 extra. The last 8 were $720 lost. Thus, the total profit is $480. He bought them with $7200, which means the profit is around 6.67%.

Answer: A salesman bought 2 dozen television sets at $300 each. He sold two-thirds of them at a 25% profit but was forced to take a 30% loss on the rest. what was his total profit(or loss) on the television sets?

----

Original cost 24*300 = 7200

----

Profit: 0.25*(2/3)24*300 = 1200

---

Loss: 0.3*(1/3)24*300 = 720

----

Total profit = 1200-720 = $480

Step-by-step explanation:

Which shows 232 − 172 being evaluated using the difference of perfect squares method?232 − 172 = (529 + 289)(529 − 289) = 196,320
232 − 172 = 529 − 289 = 240
232 − 172 = (23 + 17)(23 − 17) = (40)(6) = 240
232 − 172 = (23 − 17)2 = (6)2 = 36

Answers

difference of perfect squares is a² - b² = (a+b)(a-b)

Here, we can let 23 = a and 17 = b, so using this method, we have
23² - 17² = (23+17)(23-17) = 40 × 6 = 240

So third option is correct.

Answer:

Your answer is 23^2 − 17^2 = (23 + 17)(23 − 17) = (40)(6) = 240, or C on your answer sheet.

Step-by-step explanation:

Lets begin!

So when a binomial is composed of two perfect squares separated by a subtraction symbol, a certain method called the difference of perfect squares can be used. The difference of perfect squares method can be done by multiplying the sum and difference of the two square roots.

So, to solve:

23^2 - 17^2 = (23 + 17)(23-17) = (40)(6) = 240

Thus being your answer.

Always here to help a Brainly citizen! (✪㉨✪) Sincerely, Kelsey from Brainly

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The area of a rectangular pool is (14x^2+21x) square feet. If it is 7x feet long, what is the width, in feet?

Answers

(14x^2+21x) = 7x(2x + 3)

A= L * W

but L = 7x so W = 2x + 3

answer: width is (2x +3) feet

Answer:

you get (2x+3), because 14 divided by 7 = 2 and 21 divided by 7 = 3

Step-by-step explanation:

Solise is planting 24 bushes and 16 trees in equal rows. She wants all the rows to be exactly the same with no plants left over. What is the greatest number of rows Solise can plant?

Answers

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Since Solise want to plant both trees and bushes in the same number of rows, you need to find the common factor.

Since the question is asking what the greatest number of rows she can plant, you have to find the greatest common factor.

The greatest common factor of 24 and 16 is 8.

You can plant 24 bushes in 8 rows (meaning you can divide it by 8), and 16 trees in 8 rows (meaning you can divide it by 8). Since the greatest number you can divide them both by is 8, the GCF of 24 and 16 is 8.

So the greatest number of rows Solise can plant is 8 rows.

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