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
pickupchik [31]
3 years ago
6

What is the sum of the expression (8- 4 i) + (-2+7i)?

Mathematics
1 answer:
prohojiy [21]3 years ago
5 0

Answer:

The sum of the expression (8 - 4i) + (-2 +7i) is (6 + 3i)

Step-by-step explanation:

In the complex numbers (a + bi) and (c + di), we can add the real parts together and the imaginary parts together, so their sum is

(a + bi) + (c + di) = (a + c) + (b + d)i

Let us use this fact to solve our question

∵ The complex numbers are (8 - 4i) and (-2 + 7i)

∴ Their sum = (8 - 4i) + (-2 + 7i)

∵ The real parts are 8 and -2

∵ 8 + -2 = 8 - 2 = 6

∴ The sum of the real parts is 6

∵ The imaginary parts are -4i and 7i

∵ -4i + 7i = 3i

∴ The sum of the the imaginary parts is 3i

∵ (8 - 4i) + (-2 + 7i) = (8 - 2) + (-4 + 7)i

∴ (8 - 4i) + (-2 + 7i) = 6 + 3i

∴ The sum of the expression (8 - 4i) + (-2 +7i) is (6 + 3i)

You might be interested in
What will be the new coordinates of (3, -1) if it is reflected across the y-axis
Vaselesa [24]

Answer:

(-3,-1)

Step-by-step explanation:

7 0
3 years ago
Please help I’ll mark you as brainliest if correct
Nina [5.8K]

Answer:

2/7

Step-by-step explanation:

Find the seperate chances, those being 1/5 and 1/2 and add.

5 0
3 years ago
A firework is launched at the rate of 10 feet per second from a point on the ground 50 feet from an observer. to 2 decimal place
Kazeer [188]

The rate of change of the angle of elevation when the firework is 40 feet above the ground is 0.12 radians/second.

First we will draw a right angle triangle ΔABC, where ∠B = 90°

Lets, assume the height(AB) = h and base(BC)= x

If the angle of elevation, ∠ACB = α, then

tan(α) = \frac{AB}{BC} = \frac{h}{x}

Taking inverse trigonometric function, α = tan⁻¹ (\frac{h}{x}) .............(1)

As we need to find the rate of change of the angle of elevation, so we will differentiate both sides of equation (1) with respect to time (t) :

\frac{d\alpha}{dt}=[\frac{1}{1+ \frac{h^2}{x^2}}]*(\frac{1}{x})\frac{dh}{dt}

Here, the firework is launched from point B at the rate of 10 feet/second and when it is 40 feet above the ground it reaches point A,

that means h = 40 feet and \frac{dh}{dt} = 10 feet/second.

C is the observer's position which is 50 feet away from the point B, so x = 50 feet.

\frac{d\alpha}{dt}= [\frac{1}{1+ \frac{40^2}{50^2}}] *\frac{1}{50} *10\\ \\ \frac{d\alpha}{dt} = [\frac{1}{1+\frac{16}{25}}] *\frac{1}{5}\\ \\ \frac{d\alpha}{dt} = [\frac{25}{41}] *\frac{1}{5}\\   \\ \frac{d\alpha}{dt}= \frac{5}{41} =0.1219512

= 0.12 (Rounding up to two decimal places)

So, the rate of change of the angle of elevation is 0.12 radians/second.

5 0
3 years ago
A scientist measured the exact distance between two points on a map and came up with the following number: 0.04000 km.
stellarik [79]

Answer:

The first zero after decimal point and 4 only

Step-by-step explanation:

Despite having 5 decimal points, the rules of significant figures dictate that unless there is a digit other than zero after, the only significant numbers are those that come before zero. For this case, the significant digits are only 0.04 but if it was 0.0400005 then all the other zeros would have also be considered significant.

5 0
3 years ago
20 PTS BRAINLIEST HELPPPPPPP
lesya [120]

Answer:

The answer is D, (-3,3)

Step-by-step explanation:

Multiply K's cooridinates (-2,2)  by 3/2. (-2 × 3/2) (2× 3/2)

7 0
3 years ago
Other questions:
  • What is the length of d?<br><br> A.11 1/4 in<br> B.4 1/20 in<br> C. 20 in <br> D. 12 3/4 in
    8·1 answer
  • What's the value for x makes this equation true 3/5 X-0.5=19 ​
    14·1 answer
  • How do I do this this is all new to me please show work so I can learn
    15·1 answer
  • If the slope of BC is 1/2 what is the slope of AC
    10·1 answer
  • 1/4 + 1/6= ?<br><br> Help and im to lazy :p
    10·1 answer
  • What Will You nota miss about remote learning​
    15·2 answers
  • If &lt; ABC forms a linear pair with &lt; CBD, use the linear pair postulate to determine the value of X. Then find the measure
    7·1 answer
  • On a number line, what number is between 1/4 and 1/5?
    8·1 answer
  • The aquarium has 6 fewer yellow fish than green fish. 40 percent of the fish are yellow. How many green fish are in the aquarium
    14·1 answer
  • If 48X^2,64x^4 ,x 36x^2 are in proportion , find the value of x​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!