what is the coordinates of the point? ​

[tex]\frac { 2 + 3 i } { 3 + 4 i }[/tex]

[tex]=\frac{\left(2+3i\right)\left(3-4i\right)}{\left(3+4i\right)\left(3-4i\right)} [/tex]

[tex]=\frac{\left(2+3i\right)\left(3-4i\right)}{3^{2}-4^{2}i^{2}} [/tex]

[tex]=\frac{\left(2+3i\right)\left(3-4i\right)}{25} [/tex]

[tex]=\frac{2\times 3+2\times \left(-4i\right)+3i\times 3+3\left(-4\right)i^{2}}{25}[/tex]

[tex]=\frac{2\times 3+2\times \left(-4i\right)+3i\times 3+3\left(-4\right)\left(-1\right)}{25} [/tex]

[tex]=\frac{6-8i+9i+12}{25} [/tex]

[tex]=\frac{6+12+\left(-8+9\right)i}{25} [/tex]

[tex]=\frac{18+i}{25} [/tex]

[tex]=\boxed{\frac{18}{25}+\frac{1}{25}i=0.72+0.04i}[/tex]

_______

Hope it helps :) ⚜

The amount contributed by Willie and Bruno is $31000 and $19,000 respectively.

Let amount contributed by Willie be x

Let amount contributed by Bruno be y

Since Willie agreed to contribute $12,000 more than Bruno;

Therefore;

By solving the system of equations simultaneously;

In essence; The amount contributed by Willie and Bruno is $31000 and $19,000 respectively.

Read more:

https://brainly.com/question/23612222

Answer:

Pentagon - 5 sides = 5 x 4 = 20

Hexagon - 6 sides = 6 x 5 = 30

Nanagon - 9 sides = 9

20 + 30 + 9 = 59 IN TOTAL

Step-by-step explanation:

Answer:

7×7 = 49

Step-by-step explanation:

7 is a prime number. 7×7= 49 (product of primes)

Answer:

$973.77

Step-by-step explanation:

$927.40 = 100%

New price = 100% + 5%

New price = 105% of 927.40

105% of 927.40 = 1.05(927.40)

1.05(927.40) = 973.77

-Chetan K

Answer: Well all you have to do Is find the Rise over run.

Step-by-step explanation:

Then you will have your answer :)

Answer:

Step-by-step explanation:

12

Answer:

18.725

Step-by-step explanation:

4 5/8 = (4*8 + 5) /8 = 37/8

10 7/10 = (10*10 + 7) / 10 = 107/10

3 2/5 = (3*5 + 2) / 5 = 17/5

lcm of 8, 10, 5 is 40

37/8 + 107/10 - 17/5

= (37*5 + 107*4 - 17*8) / 40

= (185 + 428 + 136) / 40

= 749/40

= 18.725

Answer:

vertex = (7, - 2 )

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

y = x² - 14x + 47

Using the method of completing the square

add/subtract ( half the coefficient of the x- term)² to x² - 14x

y = x² + 2(- 7)x + 49 - 49 + 47

  = (x - 7)² - 2 ← in vertex form

with vertex = (7, - 2 )

La razón que indica el avance de un automóvil  a 40,000m en 60 min es  666.67 m/min

Queremos obtener la razón entre la distancia avanzada por un automóvil y el tiempo en el que se avanza esta distancia.

Recordamos que:

velocidad = distancia/tiempo.

Entonces lo que calcularemos es la velocidad, en promedio, del autmóvil.

Tenemos:

Velocidad = 40,000m/60min = 666.67 m/min

Sí quieres aprender más, puedes leer:

https://brainly.com/question/25316464

Answer:

26,100

Step-by-step explanation:

[Given] 6 percent of 435000

[6% as a decimal] 0.06 of 435000

[Multiply] 26,100

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

x² = (1,5)² + (1,5)²

x² = 2,25 + 2,25

x² = 4,5

x = 2,1m

[tex]\bold{\underline{Solution : -}}[/tex]

[tex]\sf x^2 = (1.5)^2 + (1.5)^2 [/tex]

[tex]\sf x^2 = 2.25 + 2.25 [/tex]

[tex]\sf x^2 = 4.5 [/tex]

[tex]\sf x = \sqrt{4.5} \approx 2.1[/tex]

Step-by-step explanation: In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

Answer:

  Student 1

Step-by-step explanation:

In order to accomplish the next step of construction PS║QR, the angle LQM must be copied to make angle NPT. That is done by drawing arc NT (centered at P) so it has the same (chord) length as arc LM.

This step is only accomplished by Student 1.

Answer:

it's rise/run 3/2

Step-by-step explanation:

you rise positive 3 and run 2

Answer:

x=7

Step-by-step explanation:

3*7=21

21-9=12

Answer:

y(x) = -400 m + (700 m/hr)x

Step-by-step explanation:

Let y = 0 represent sea level.  Noir's initial altitude was -400 m.  In two hours she went from -400 m to +1000 m, a positive change of 1400 m.  Thus, the rate of ascent was m = slope = (change in altitude) / (change in time), or

rate of ascent = 1400/2 m/hr  =  700 m/hr

Thus, an equation describing her altitude relative to sea level after x  hours is

y(x) = -400 m + (700 m/hr)x, where x is the number of hours of driving completed.  This formula correctly predicts the altitude after two hours:

y(2) = -400 m +  (700 m/hr)(2 hr) = 1000 m above sea level.

Answer:

Yes

Step-by-step explanation:

Loss=(C.P)-(S.P)

C.P= x and S.P= y

Loss= x-y

Loss= $(x-y)

Answer:

Step-by-step explanation:

Given:

Amount after 8 years:

Rate of interest=r=0.05

So

Amount

Answer:

∠ ABC = 108°

Step-by-step explanation:

The 2 given angles are vertically opposite and are congruent , that is

4x + 8 = 3x + 33 ( subtract 3x from both sides )

x + 8 = 33 ( subtract 8 from both sides )

x = 25

Then

∠ ABC = 3x + 33 = 3(25) + 33 = 75 + 33 = 108°

Answer:

a) alternate interior angles

b) vertical angles

c) corresponding angles

d) linear pair

Step-by-step explanation:

Alternate interior angles:

Vertical angles:

Corresponding angles:

Linear pair:

Answer:

These should be the answers you are looking for.

A: 62

B: 8.9

C: 2.8

This should be correct, but please tell me if it isnt.

Explanation:

The simplest way to figure this out is by counting how many marks there are on the number line. If the numbers are betweeen 1 and 2 on a number line for example, youll want to use decimals.

Example of a problem:

I--I--I--I--I--I--I--I--I--I--I

1               ^              2

Count the markings like this: 1.1, 1.2, 1.3, 1.4, 1.5 .

the furthest you can go with a decimal until you get a full number is 0.9.

If you are solving a question with full numbers (example: 20 through 30), you would count normally.

I--I--I--I--I--I--I--I--I--I--I

20           ^              30

The answer would be 25 for this one.

I hope this helps you out in the future.

Math definetly sucks, especially common core. I feel you.

Answer:

take value of x as 0 so

9y=-18 y =-18/9

y=-2

(0,-2)

same take y equal 0

Answer:

Option 4: {(-2, -6), (-1,2), (-2, – 7), (6,6)}

Step-by-step explanation:

In order to determine whether a given relation is a function, one must always take notice of the x-values ⇒ make sure that an x-value does not have more than one corresponding y-value.

Option 1:  {(-6, -9), (-2, -3), (–9,2), (2, -3)}  ⇒ This relation is a function. Each input has one corresponding output.

Option 2: {(-2,0), (-5,8), (7,9), (6,8)}   ⇒ This relation is also a function. Each input has one corresponding output.

Option 3: {(6,9), (-7,8), (1, –4), (8,8)}  ⇒ This relation is also a function. Each input has one corresponding output.

Option 4:  {(-2, -6), (-1,2), (-2, – 7), (6,6)} ⇒ This relation is not a function. The x-value, x = -2, has two corresponding y-values: y = -6, and y = -7.

Therefore, the correct answer is Option 4: {(-2, -6), (-1,2), (-2, – 7), (6,6)}.

Answer:

the last one {(-2, -6), (-1,2), (-2, – 7), (6,6)}

Step-by-step explanation:

it has 2 of the same x values with 2 different y coordinates, in other words it fails the vertical line test.

Answer:

B dude also also watch out the jews are coming

Answer:

I don't understand anything. if I was know of course I will help you

Answer:

x - 5y - 6

Step-by-step explanation:

- 6 + 4y - ( - x + 9y) ← distribute parenthesis by - 1

= - 6 + 4y + x - 9y ← collect like terms

= x - 5y - 6

Answer:

She had $150 in the beginning before she bought the swimming items.

Step-by-step explanation:

You have the right numbers for the equation but you also times the money she had in total.

The equation is x-3(44)=18

44 is the total for one daughter and you times that by three to get for three duaghters.

Then you multiply -3 and 44 which is -132.

Which would be x-132=18

Now you would move -132 to the other side which would be +132 →x=18+132

x=150

Answer:

2

Step-by-step explanation:

cube root of 8