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Musya8 [376]
3 years ago
8

Find the protucts of each pair of complex conjugates. (4+5i)(4-5i)

Mathematics
2 answers:
FinnZ [79.3K]3 years ago
7 0

Answer:

41

Step-by-step explanation:

Gelneren [198K]3 years ago
4 0

(4 + 5i)(4 - 5i)

FOIL.

16 - 20i + 20i - 25i^2

Simplify.

16 - 25i^2

i^2 = -1

16 + 25

41

<h3>The product is 41.</h3>
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Julio joined an athletic club. There was a one-time fee of $49.95 to join the club, plus a monthly fee of $24.95. Julio has paid
Rama09 [41]

c (cost)
m (month)


c= xm + b

$424.20= 24.95m+ $49.95

Move everything except variable on one side.

424.20 - 49.95 = $374.24

$374.25 = 24.95m

Divide by 24.95

m = 15

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3 0
3 years ago
Given right triangle ABC, what is the value of tan(A)? Five-thirteenths Twelve-thirteenths Twelve-fifths Thirteen-twelfths
WITCHER [35]

Answer:

Twelve-fifths.

Step-by-step explanation:

The diagram is shown below

Given triangle be right angled at B,

Withe reference to \angle A,

Its opposite side is BC=12 , adjacent side is AB=5 and hypotenuse is AC=13

We are to find the value of tan(A)

We know tan=\frac{opposite}{adjacent}

Substituting the above values we get,

tan(A)= \frac{BC}{AB}=\frac{12}{5}

So the answer is Twelve-fifths.

8 0
3 years ago
Read 2 more answers
Teresa is maintaining a camp fire. She can keep the fire burning for 444 hours with 666 logs. She wants to know how many logs (y
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Answer:

82 parenthesis

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Staci is attending a music festival. The ticket to the festival costs $87.96 . Staci plans to purchase $30.00 t-shirts from the
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5 0
2 years ago
#
fiasKO [112]

4. The point Z is the orthocenter of the triangle.

5. The length of GZ is of 9 units.

6. The length of OT is of 9.6 units.

<h3>What is the orthocenter of a triangle?</h3>

The orthocenter of a triangle is the point of intersection of the three altitude lines of the triangle.

Hence, from the triangle given in the end of the answer, point Z is the orthocenter of the triangle.

For the midpoints connected through the orthocenter, the orthocenter is the midpoint of these segments, hence:

  • The length of segment GZ is obtained as follows: GZ = 0.5 GU = 9 units. -> As z is the midpoint of the segment.
  • The length of segment OT is obtained as follows: OT = 2ZT = 2 x 4.8 = 9.6 units.

<h3>Missing Information</h3>

The complete problem is given by the image at the end of the answer.

More can be learned about the orthocenter of a triangle at brainly.com/question/1597286

#SPJ1

8 0
1 year ago
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