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igomit [66]
3 years ago
7

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

Mathematics
2 answers:
eimsori [14]3 years ago
6 0

Answer:

13

Step-by-step explanation:

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

Expand

(9 + 6i - 6i - 4i^2)

Add

(9 - 4i^2)

Convert i^2

i^2 = (\sqrt{-1})^2 = -1

(9 - 4(-1))

Add

(9 + 4)

= 13

Semenov [28]3 years ago
3 0

Answer:

13.

Step-by-step explanation:

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

= (3 * 3) + (-2i * 3) + (2i * 3) + (-2i * 2i)

= 9 - 6i + 6i - 4\sqrt{-1} ^{2}

= 9 - 4(-1)

= 9 + 4

= 13

Hope this helps!

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Jamie's truck has a 40-gallon gas tank.
andreev551 [17]

Answer:

$60.48

Step-by-step explanation:

hope this helps!!

5 0
3 years ago
A 13-inch piece of ribbon is 33.02 centimeters long. How long will a 24-inch piece be?
m_a_m_a [10]

Answer:

60.96

Step-by-step explanation:

1 inch = 2.54

so to know what 24 inch = you can multiply 24 time 2.54 and you should get the answer

       

2.54 time 24= 60.96

5 0
3 years ago
Simplify.<br> -4(3 – 1) +2
vladimir2022 [97]

Answer:

-4(3-1)+2

-4x2+2

-8+2= -6

since there is only one - and one + the answer will be negative

4 0
3 years ago
Marti is filling a 10– inch diameter ball with sand to make a medicine ball that can be used for exercising. To determine if the
Mice21 [21]

Answer:

Option A. 30\ pounds

Step-by-step explanation:

step 1

Find the volume of the sphere ( medicine ball)

The volume is equal to

V=\frac{4}{3}\pi r^{3}

we have

r=10/2=5\ in ----> the radius is half the diameter

Convert inches to feet

Remember that

1 ft=12 in

r=5\ in=5/12\ ft

assume

\pi=3.14

substitute

V=\frac{4}{3}(3.14)(5/12)^{3}

V=0.3029\ ft^{3}

step 2

Find the weight of the ball

Multiply the volume in cubic foot by 100

0.3029*100=30.29\ pounds

Round to the nearest pound

30.29=30\ pounds

6 0
3 years ago
Cot^2x csc^2x + 2 csc^2x –cot^2 = 2
kow [346]

Answer:

x = π/2 + πk

Step-by-step explanation:

cot² x csc² x + 2 csc² x − cot² x = 2

Multiply both sides by sin² x:

cot² x + 2 − cos² x = 2 sin² x

Add cos² x to both sides:

cot² x + 2 = 2 sin² x + cos² x

Pythagorean identity:

cot² x + 2 = sin² x + 1

Subtract 1 from both sides:

cot² x + 1 = sin² x

Pythagorean identity:

csc² x = sin² x

Multiply both sides by sin² x:

1 = sin⁴ x

Take the fourth root:

sin x = ±1

Solve for x:

x = π/2 + 2πk, 3π/2 + 2πk

Which simplifies to:

x = π/2 + πk

4 0
4 years ago
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