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
tekilochka [14]
3 years ago
12

If (x+yi)(1-3i)=10 Then x+y=

Mathematics
1 answer:
Naily [24]3 years ago
7 0

Answer:

x + y = 4

Step-by-step explanation:

Given that, (x + iy)(1 - 3i) = 10, then we have to calculate x + y.

Now, (x + iy)(1 - 3i) = 10

⇒ x(1 - 3i) + iy(1 - 3i) = 10

⇒ x - 3xi + iy - 3yi² = 10

⇒ (x + 3y) + i(y - 3x) = 10

Now, comparing the real and imaginary part of both sides we get,

(x + 3y) = 10 ............. (1) and

y - 3x = 0

⇒ y = 3x ............... (2)

Solving equations (1) and (2) we get

x + 3(3x) = 10

⇒ x = 1

So, y = 3x = 3

Therefore, x + y = 1 + 3 = 4 (Answer)

You might be interested in
A fence is to be installed around a rectangular field. the​ field's perimeter is 204204 feet. find the dimensions of the field i
dem82 [27]
204204 - 16 = 204188
204188 / 4 = 51,047

width = 51,047
length = 51,055
4 0
3 years ago
6) 98=4b+ 2c; Find b if c=5
andreev551 [17]
The answer is b= 22 :)
8 0
3 years ago
PLEASE HELP<br> ILL GIVE U BRAINLEIST<br> AND 5 STARS:)
skad [1K]

Answer:

The slope is undefined!!but DONTTTT trust my answer if you are in exam or test

5 0
2 years ago
Read 2 more answers
A parking lot is 75 feet wide and 90 feet long. What is the cost of paving the lot with concrete at $3.50 per square yard?
g100num [7]
This question is super simple when you sit down and think about what it's asking. What is the cost of the whole paving lot?

We know that the paving lot is 90 ft by 75 ft, we need to start by finding the area of the whole paving lot.

Area of a rectangle is Length multiplied by Width.

90 × 75 = 6,750

The area of the paving lot is 6,750 feet squared.

Now we need to find the cost of the paving lot, we know that one square yard costs $3.50 to pave.

We can solve this by first taking the step to finding how many yards are in the paving lot.

A yard is 3 feet so we'll divide the area of the paving lot by 3.

6,750 ÷ 3 = 2,250

With the paving lot having 2,250 square yards we can now multiply this by the $3.5 cost per square yard.

2,250 × 3.5 = 7,875

It should cost $7,875 dollars to pave the entire lot.
3 0
3 years ago
Re-write the quadratic function below in Standard Form<br> y=-3 (x - 2)² – 7
pav-90 [236]

Answer:

y=-3x^2+12x-19

Step-by-step explanation:

we know that

The quadratic equation in standard form is equal to

y=ax^{2} +bx+c

we have

y=-3(x-2)^{2}-7

This is a quadratic equation in vertex form

Convert to standard form

y=-3(x^2-4x+4)-7

Apply distributive property

y=-3x^2+12x-12-7

Combine like terms

y=-3x^2+12x-19 ----> quadratic equation in standard form

3 0
2 years ago
Other questions:
  • A prediction for the volume at 105 seconds is 497 cm3.
    8·2 answers
  • Cynthia besch wants to buy a rug for a room that is 1313 ft wide and 2222 ft long. she wants to leave a uniform strip of floor a
    6·1 answer
  • In the diagram, −→− bisects ∠ .
    11·1 answer
  • Does 3x-3+5=3x+1+5 have infinitely solutions , one solution or no solution ?
    14·1 answer
  • What is the value of the expression below when z = • 3?<br> 622 + 2z + 10
    8·1 answer
  • The yearbook staff enlarges a picture with a length of 5 inches and a width of 7
    15·2 answers
  • HELPPPPPPPPPPPPPPPPPPPPPPPPP
    8·1 answer
  • Which system of linear inequalities is represented by the graph?
    13·2 answers
  • ………………..please lolz :,)
    10·2 answers
  • How many weeks will have to pass before Juan and Karen have the same amount of money in the savings
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!