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3 years ago

If(2-3i)+(x+y)=6, what is x+y?

Mathematics

1 answer:

zloy xaker [14]3 years ago

7 0

Answer:

Dear user,

Answer to your query is provided below

x + yi = 4 + 3i

Step-by-step explanation:

(2 − 3i) + (x + yi) = 6

=> 2 + x - 3i + yi = 6

=> (x + 2) + (y - 3)i = 6 + 0i

Equating coefficients:

x + 2 = 6 => x = 4

y - 3 = 0 => y = 3

Therefore x + yi = 4 + 3i

You might be interested in

Solve (2 - x)^2 < 4/25

Semenov [28]

Answer:

8/5 < x< 12/5

Step-by-step explanation:

(2 - x)^2 < 4/25

Take the square root of each side

sqrt((2 - x)^2) <±sqrt( 4/25)

Make two equations

2-x < 2/5 2-x > -2/5

Subtract 2 from each side

2-x-2 < 2/5 -2 2-x-2 > -2/5-2

-x < 2/5 - 10/5 -x > -2/5 - 10/5

-x < -8/5 -x > -12/5

Multiply by -1, remembering to flip the inequality

x> 8/5 x < 12/5

8/5 < x< 12/5

5 0

3 years ago

Read 2 more answers

If you have an old fish tank in the form of a circular cylinder and it is 2 feet in diameter and 6 feet tall, how many cubic fee

yuradex [85]

Answer:

The old fish tank hold 18.84 cubic feet of water.

Step-by-step explanation:

Given:

An old fish tank in the form of a circular cylinder and it is 2 feet in diameter and 6 feet tall.

Now, to find the cubic feet of water the fish tank hold.

Dimensions of old fish tank are:

Diameter is 2 feet so. we find the radius first.

Radius ( $r$ ) = $\frac{Diameter}{2}=\frac{2}{2}=1\ feet.$

Height ( $h$ ) = $6\ feet.$

Now, to get the cubic feet off water the tank hold we put formula:

(Taking the value of π as 3.14.)

$Volume=\pi r^2h\\\\Volume=3.14\times 1^2\times 6\\\\Volume=3.14\times 1\times 6\\\\Volume=18.84\ cubic feet.$

Therefore, the old fish tank hold 18.84 cubic feet of water.

7 0

3 years ago

Simplify the expression

erastova [34]

Answer : A

We need to simplify the given expression

Lets factor numerator first

$2x^2-5x-3$ =(2x+1)(x-3)

$x^2+8x+15$ =(x+5)(x+3)

Now we factor the denominator

$x^2+x-20$ =(x+5)(x-4)

$2x^2+9x+4$ =(2x+1)(x-4)

Now we simplify it

$\frac{(2x+1)(x-3)}{(x+5)(x-4)} * \frac{(x+5)(x+3)}{(2x+1)(x-4)}$

Now cancel out same factors. so we left with

$\frac{(x+3)(x-3)}{(x+4)(x-4)} }$

Now multiply the factors

$\frac{x^2-9}{x^2-16} }$

6 0

3 years ago

Plssssss help fast!!!!Launching From a Tower

aleksandrvk [35]

Answer:

A. h = 64

B. t = 4 -> 4 seconds

C. t = 1.5 -> 1.5 seconds

D. maximum height is 100 ft

E. The domain that makes sense for the function in this context is t

is any positive real number since time can not be negative.

Step-by-step explanation:

h = -16t2 + vt + 64

A. What tower platform height was the projectile launched from?

when the projectile was not launched, t = 0

h = -16(0)^2 + v(0) + 64 = 64

B. How long was the projectile in the air?

if the projectile lands, its height = 0 so substitute 0 for h

0 = -16(t)^2 + 48(t) + 64

= -16(t^2 - 3t - 4)

= -16(t - 4)(t + 1)

t = 4 or t = -1

Since time can not be negative, t = -1 can not be the answer. Therefore, the projectile lands when t = 4 or 4 seconds.

C. When did it reach its maximum height?

maximum -> t=-b/2a where in -16(t)^2 + 48(t) + 64, b = 48 and a = -16

t = -48/-32 = 1.5

D. What was its maximum height?

plug t = 1.5 into -16(t)^2 + 48(t) + 64

-16(1.5)^2 + 48(1.5) + 64 = -36 + 72 + 64 = 100

E. The domain that makes sense for the function in this context is t

is any positive real number since time can not be negative.

6 0

3 years ago

Mr.chu is slicing 4 cantaloupes for his class.There are 24 students in class. If Me.Chu cut the cantaloupes to make an equal por

babunello [35]

1/6 because 4/24 = 1/6

8 0

3 years ago