MATHEMATICS HIGH SCHOOL

What is the value of the product (3 - 2i)(3 + 2i)

Answers

Answer 1
Answer:

Answer:

13

Step-by-step explanation:

(3 - 2i)(3 + 2i)

FOIL

first  3*3 = 9

outer 3*2i = 6i

inner -2i*3 = -6i

last  -2i * 2i = -4i^2 = -4(-1) =4

Add together

9+6i-6i+4 = 13

Related Questions

What are the solutions to the quadratic equation 4x2 = 64? A. x = −16 and x = 16 B.x = −8 and x = 8 C.x = −4 and x = 4 D.x = −2 and x = 2
Y = x + 1    3x + y = 21
Circle R has a radius of 6, and is tangent to circle R at point Q. Also, QP = 8. (a) What is the measure of angle RQP Explain your answer. b) What is the length of RP Explain your answer. (c) What is the length of RS Explain your answer. (d) What is the length of RP Explain your answer.
Complete the following item based on the given information.The volume of a box(V) varies directly with its length(l). Using k for the constant of proportionality, express the relationship between V and l if V varies directly with l. V = _______
Brew Ha Ha & Tea Co. produces two types of coffee blends: Moring (x) and (y). The Morning Blend has 9 oz of Guatemalan coffee and 7 oz of Brazilian coffee, and the house blend has 6 oz of Guatemalan coffee and 10oz of Brazilian coffee. The company makes $2 in profit from each bag of the morning blend sold and $2.50 in profit from each bag of house blend sold. The company has 400 oz of both the Guatemalan and Brazilian coffees available. This set of inequalities represents the constraints in this situation. 9x + 6y< 400 7x + 10y<400 x > 0 y > 0 The company wants to maximize their profits using the objective function P = 2x + 2.5y What is the maximum profit? there is a chart for vertex and objective function

Two circles are concentric if they have the same center. Which equation represents a circle that is concentric with the circle shown but has a radius that is twice as large? (x – 4)2 + (y – 6)2 = 4 (x – 4)2 + (y – 6)2 = 16 (x – 6)2 + (y – 4)2 = 16 (x – 6)2 + (y – 4)2 = 4

Answers

Since you did not include the figure with the circle to which you have to compare the equations, I am going to determine the center and radius of the circles represented by each of the equations.

From that, you choose that whose center is the same of your circle and the radius is the double.


The canonic equation of a circle is:

(x - a)² + (y - b)² = r²

Where a and b are the coordinates of the center (a,b) and r is the radius.

So, let's determine the center and the radius of all the equations given:

A) (x – 4)² + (y – 6)² = 4


Center (4,6),;radius = √4 = 2


B) (x – 4)² + (y – 6)² = 16


Center (4, 6); radius = √16 = 4


C) (x – 6)² + (y – 4)² = 16


Center = (6, 4); radius = √16 = 4


D) (x – 6)² + (y – 4)² = 4

Center (6, 4); radius = √4 = 2

Answer:

(x-4)^2 + (y-6)^2 = 16

Step-by-step explanation:

Just to clarify the answer

Yesterday, 58 of the 72 students in a contest gave their speeches. How many students gave their speeches? Write your answer in simplest form.

Answers

so 58 out of 72
therefor
58/72
divide both by 2
58/2=29
72/2=36

29/36
29 is prime so that is simplest form
29/36 is answer
Lets express this as a fraction in simplest form. 

58/72

divide 

58/2 = 29
72/2 = 36

29/36 (cannot be simplified further)

Answer: 29/36

A circular pan has a diameter of 8 inches.What is the exact area of the pan?

A.
256π square inches

B.
8π square inches

C.
64π square inches

D.
16π square inches

Answers

d/2=r
area=pir^2
d=8
8/2=4=r
area=pi4^2
aera=16pi
answer is D

If a grocery store is selling 3 oranges for $1.47 .What is the unit cost ?

Answers

Answer:  0.49 dollars, which is equivalent to 49 cents

==========================================================

Work Shown:

Divide the total cost over the number of items to get the unit cost

unit cost = (total cost)/(number of items)

unit cost = (1.47)/(3)

unit cost = 0.49 dollars

unit cost = 49 cents

---------------------------

Another approach:

3 oranges = 1.47 dollars

3/3 oranges = 1.47/3 dollars

1 orange = 0.49 dollars

1 orange = 49 cents

The unit cost is the cost of 1 item, so the the unit cost is 49 cents per orange.

Final answer:

The unit cost of an orange in this case is calculated by dividing the total cost ($1.47) by the number of units (3), which gives us a unit cost of approximately $0.49.

Explanation:

The unit price can be calculated by taking the total price and dividing it by the number of units. In this case, the total price is $1.47 and there are 3 oranges. So the unit price would be calculated as follows:

$$1.47 divided by 3 = $0.49 (rounded to the nearest cent)

Therefore, the unit cost of an orange is approximately $0.49..

Learn more about Unit Cost here:

brainly.com/question/31310172

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Find the x-intercept and the y-intercept from the following linear equation: 4x + 8y = 64​

Answers

Answer:

x-intercept = 16/1 = 16.00000

y-intercept = 16/-2 = 8/-1 = -8.00000

Step-by-step explanation:

Solve for n. Round to the nearest tenth, if necessary.

47/n = 36/54

Answers

(36)/(54)=(36:18)/(54:18)=(2)/(3)\n\n(47)/(n)=(2)/(3)\ \ \ |cross\ multiply\n\n2\cdot n=3\cdot47\n\n2n=141\ \ \ \ |divide\ both\ sides\ by\ 2\n\nn=(141)/(2)\n\n\boxed{n=70.5}
47/n = 36/54 

47/n=2/3 

47=2/3n 

47=2n/3 

47*3=2n 

141=2n

141/2=n

Decimal Form: 70.5
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