MATHEMATICS HIGH SCHOOL

Multiply and simplify the product.(3 – 5i)(–2 + 4i)
Select the product.

a. 14+ 2i

b. 14 + 22i

c. 15 + 22i

d. 26+2i
x

Answers

Answer 1
Answer: Multiplying complex numbers is a lot like multiplying binomial terms. The only relation one has to remember when dealing with complex numbers is that i² = -1.

Now let us try to multiply binomials. This is done by adding the products of the first term of the first binomial distributed to the second binomial, and the second term of the first binomial distributed to the second binomial. This is done below:

(3 – 5i)(–2 + 4i)  = -6 + 12i + 10i -20i²

Simplifying and applying i² = -1:
-6 + 22i - 20(-1)
-6 + 22i + 20
14 + 22i

Among the choices, the correct answer is B.
Answer 2
Answer:

Answer:

14 + 22i

Step-by-step explanation:

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Simplify the expression:25 - 3(5x - 6) - 22x

jay discounts a 100-day note for 25,000 at 13%. the effective rate of interest to the nearest hundredth percent is what?

Answers

Jay were able to get a discount in a 100-day note which 25000 dollars and get a 13% discount. 

Let's solve for the effective rate interest of this 100-day note:
=> 25 000 * .13 = 3 250 dollars is the discount. 
Thus, the 13% discount that he got is 3 250

Factor completely 9x2 − 25.

Answers

The required, 9x² - 25 can be factored completely as (3x + 5)(3x - 5).

To factor completely the expression 9x² - 25, we can use the difference of squares formula, which states that:

a² - b²= (a + b)(a - b)

In this case, we can recognize that 9x² is the square of 3x, and 25 is the square of 5. Applying the difference of squares formula, we have:

9x² - 25 = (3x)²- 5²

Using the formula, we can factor it as:

(3x + 5)(3x - 5)

Therefore, 9x² - 25 can be factored completely as (3x + 5)(3x - 5).

Learn more about factor here:

brainly.com/question/16950846

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This is difference of 2 squares. 

Take the square root of 9 and 25 

(3x + 5) (3x - 5)

A whole theater has the capacity to hold 1,000 people. On the opening night, the theater was 95% full. What part of the theater was filled on opening night?

Answers

Answer:

950 People

Step-by-step explanation:

If you have 95% of 100 then it is 95, correct? So, if you have 95% of 1000, the it must be 950.

Just saying, it might be wrong but try it anyways... if it isnt right then im sorry.

A triangle has a perimeter of 18 inches. If one side has length 8 inches, find the length of the shortest side if the other lengths are in the ratio of 2 units : 3 units.

Answers

a,b,c-\ sides\ of\ triangle\n\na+b+c=18\ inches\n\na=8inch\n\n(b)/(c)=(2)/(3)\n\n3b=2c\ \ --->b=(2c)/(3)\n\n8+(2c)/(3)+c=18\ |*3\n\n24+2c+3c=54\n\n5c=54-24\n\n5c=30\n\nc=(30)/(5)=6\n\nLength\ of\ shorter\ side\ is\ equal\ to\ 6\ inches.

Pablo wrote four division equations with 6 as the quotient. what could have been the four division equations he wrote?

Answers

(18)/(3)=6 \n \n (12)/(2)=6 \n \n(6)/(1)=6

A row of plaques covers 120 square feet of space along a wall. If the plaques are 3 feet tall, what length of the wall do they cover?

Answers

a foot =12inches so 12×3=36.then 120×12=1,440

flflflflfStep-by-step explanation:
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