How do I solve (3+i)(3-i)

Answers

Answer 1

Answer: $(3+i)(3-i)=3(3-i)+i(3-i)=9-3i+3i-i^2=9-(-1)=\n\n=9+1=10$

Answer 2

Answer: (3+I)(3-1)
-i^2+9=0
-I^2=-9
I^2=9
i= + or - 3

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Evaluate 4x-3y+(7x-7y) for x = 6 and y =-1

Answers

$for\ \ x = 6\ \ and\ \ y =-1\n\n4x-3y+(7x-7y)=4x+7x-3y-7y=11x-10y=\n\n=11\cdot 6-10\cdot (-1)=66+10=76$

Answer: 76

Step-by-step explanation:

During the first week of the year, Angelina's dad give her $10 and says that he will give her $10 more each week for the rest of the year. At the end of the year, how much money will Angelina receive from her dad? (Hint : 1 year = 52 weeks) Make a table to show the pattern, and explain your answer.

Answers

52x10= 520+10=530....... She will have $530 by the end of the year

Gym A charges a registration fee of $74 plus $33 per month for members. Gym B charges a registration fee of $164 plus $18 per month for members. After how many months would the total cost at Gym A and Gym B be the same for members?

Answers

Answer:

The total charge at Gym A and Gym B would be the same at 6 months

Step-by-step explanation:

The model for the charges of both Gyms is made of the registration fee plus a variable quantity per month.

Let's call m the number of months for members.

Gym A charges $74 plus $33 per month, thus:

$C_a=74+33m$

Gym B charges $164 plus $18 per month, thus:

$C_b=164+18m$

We want to find out the number of months needed for both charges to be the same, thus:

$74+33m=164+18m$

Subtracting 74 and 18m:

$33m-18m=164-74$

Simplifying:

$15m=90$

Dividing by 15:

$m=90/15=6$

m=6

The total charge at Gym A and Gym B would be the same at 6 months

Find the unknown length. Round to the nearest tenth if necessary.

Answers

Answer:

a = 7.4

Step-by-step explanation:

Since this is a right triangle, we will use the Pythagorean theorem:

c^2 = a^2 + b^2

28^2 = a^2 + 27^2

784 = a^2 + 729

55 = a^2

a = 7.4

Answer:

55 i believe

28 + 27 = 55

The area of a circle is 9pi square meters. What is the circumference?

Answers

circumference of a circle=2πr

area=πr²

1) we calculate the radius of this circle.
Data:
area=9π m²
area=πr²

9π m²=πr²
r²=9π m² / π
r²=9 m²
r=√(9 m²)=3 m

2) we calculate the circumference:
circumference=2πr=2π(3 m)=6π m

Answer: the circumference is 6π m

If the area of the base of a rectangular solid is tripled, what is the percent increase in itsvolume?

Answers

If the height does not change, the volume is just tripled.

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