1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
KIM [24]
2 years ago
5

Simplify the expression (7 + 9i)(8 - 10i)

Mathematics
1 answer:
NeX [460]2 years ago
6 0

The simplified expression of (7 + 9i)(8 - 10i) is 146 + 2i

<h3>How to simplify the expression?</h3>

The expression is given as:

(7 + 9i)(8 - 10i)

Expand the bracket

7 * 8 + 9i * 8 -7 * 10i - 9i * 10i

Evaluate the products

56 + 72i -70i - 90(i²)

Evaluate the difference

56 + 2i - 90(i²)

In complex numbers;

i² = -1

So, we have:

56 + 2i - 90(-1)

Evaluate

56 + 2i + 90

Add the like terms

146 + 2i

Hence, the simplified expression of (7 + 9i)(8 - 10i) is 146 + 2i

Read more about complex numbers at:

brainly.com/question/10662770

#SPJ1

You might be interested in
The lengths of the sides of a rectangle are shown. Write
Simora [160]

Answer:

4t+6

Step-by-step explanation:

To find the perimeter of the rectangle you add the length of the sides.

Perimeter= t+ t+ t+ 3+ t+ 3= <u>4t+6</u>

or

Perimeter=2(t)+ 2(t+3)=  2t+ 2t+ 6=  <u>4t+6</u>

8 0
3 years ago
(x <br> 3<br> +y <br> 3<br> )(xy <br> 4<br> +7)
KonstantinChe [14]

Answer:

question is not proper

Step-by-step explanation:

question is

5 0
3 years ago
the endpoints of the diameter of a circle are (−6, 6) and (6, −2), what is the standard form equation of the circle?
miss Akunina [59]
The equation of a circle in standard form is

(x - h)^2 + (y - k)^2 = r^2

where (h, k) is the center of the circle, and r is the radius if the circle.

We need to find the radius and center of the circle.
We are given a diameter, so to find the center, we need the midpoint of the diameter.

M = ((-6 + 6)/2, (6 + (-2))/2) = (0, 2)
The center is (0, 2).

To find the radius, we find the length of the given diameter and divided by 2.

d = \sqrt{(-6 - 6)^2 + (6 - (-2))^2)}

d = \sqrt{144 + 64}

d = \sqrt{208}

r = \dfrac{d}{2} = \dfrac{\sqrt{208}}{2} = \dfrac{\sqrt{208}}{\sqrt{4}} = \sqrt{52}

(x - 0)^2 + (y - 2)^2 = (\sqrt{52})^2

x^2 + (y - 2)^2 = 52
7 0
3 years ago
Graph the inequality y&gt;-4x+6 to represent its solution set.
Deffense [45]

Answer:

Step-by-step explanation:

7 0
3 years ago
David is building wooden picture frames. Each frame requires 3/4 feet of wood. If David started with 12 feet of wood and now has
statuscvo [17]

Answer:

0.75

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • Find the next two terms in the sequence.<br><br> 0, 1, 4, 9, . . .
    14·1 answer
  • Need help with this also plz asap
    12·2 answers
  • Solve the following automotive-services problem. Voltage = 80 v Current = 40 amps Resistance = ?
    15·1 answer
  • 5(x+7)=10<br> Ghggggggggggggggg
    8·1 answer
  • What is the approximate area of the congruent orange right triangles?
    12·2 answers
  • There's a width of 8 in., a length of 20 in., and a height of 12 in.
    7·1 answer
  • Help a girl out!! Can you explain how you got the answers as well?
    9·1 answer
  • (10x5)-(30+20)x10=
    15·2 answers
  • What is the value of x?<br> Enter your answer in the box.<br> X<br> 8 2<br> X=<br> 30°<br> 452
    14·1 answer
  • Select the correct answer from each drop-down menu.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!