Can someone help me pls

Answer:

blank space=[tex]\frac{31}{2}[/tex]+[tex]\frac{13i}{2}[/tex]

The empty boxes which make the equation true are (22 -3i) - (15 + 9i)

= 7 - 12i.

As the name suggests it is a combination of real numbers and imaginary numbers.

A complex number (a + ib) where a is the real part and b is the imaginary part.

'i' here is called iota and i = √-1, i² = - 1, i³ = - i and i⁴ = 1.

Given,  (_ -3i) - (15+_i) = 7 - 12i.

Assuming the real number to be 'a' and the imaginary number to be 'b'.

∴ (a - 3i) - (15 + bi) = 7 - 12i.

a - 3i - 15 - bi = 7 - 12i.

On comparing the real and imaginary parts we get,

a - 15 = 7.

a = 22,

- 3i - bi = - 12i.

- bi = - 9i.

b = 9.

learn more about complex numbers here :

https://brainly.com/question/10251853

#SPJ2

Answer:

v - √19

Step-by-step explanation:

the answer is v - √19

Answer:

4/35

Step-by-step explanation:

Probability of 1 student having no hw is 4/7, then 3/6, then 2/5

4/7 x 3/6 x 2/5 reduces to 4/35

Answer:

The answer is=

41887.551

Answer:

c = 53 miles

Step-by-step explanation:

a^2 + b^2 = c^2

45^2 + 28^2 = c^2

2,025 + 784 = c^2

2809 = c^2

c  = 53

Answer:

y=-30+6+6 I hope it helps

have a good night

Answer:

Angle HGD and HGI are adjacent angle

hope it helps

9514 1404 393

Answer:

  B  550 tickets

Step-by-step explanation:

50% of 1100 tickets were sold the first two days.

  0.50 × 1100 = 550

550 tickets were sold the first two days.

Answer:

Step-by-step explanation:

Answer:

13°

Step-by-step explanation:

1. the two angles are equal

2. the sum of all the angles of a triangle is equal to 180°

so X+13+154=180

X+167=180

X= 180-167

X=13°

Answer:

Step-by-step explanation:

We know it must be graph A because when finding the most popularly bought item, the percentages only can go to 100%

So graphs C and D are eliminated.

Also since it never said any flavors were unknown, all the percents have to add up to 100%

So graph B is eliminated.

Only graph A follows the requirements

Answer:

all sides are equal so the x is 50.1 degree and nearest 100 will be 100

please mark me as brainliest

Answer:

b

Step-by-step explanation:

Answer:

113

Step-by-step explanation:

200 Customers = 45 Desserts

1 Customer = 45/200= 0.225 Desserts(Approx)

500 Customers= 0.225*500 = 113 Desserts(Approx)

Answer:

A) [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Answer:

Arithmetic

Step-by-step explanation:

We are given the sequence :

6.6, 7.2, 7.8, 8.4, 9, ...

We need to determine whether it is arithmetic, geometric, or neither.

Arithmetic sequences are a bunch of numbers that gradually increase or decrease through equal amounts of adding or subtracting.

Geometric are the same thing but the numbers are gradually increasing or decreasing through multiplication or dividing.

Looking at the sequence, we notice that 0.6 is added into every single number to reach the one next to it.

It fits the description of an arithmetic sequence, therefore the sequence is arithmetic.

Answer:

6 sides

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

You are dividing, if you think about it every time I do it is the opposite of your equation. Plus you are supposed to multiply on both sides to get the value of d.

9514 1404 393

Answer:

Step-by-step explanation:

The original side length is 14 m, so the area is (14 m)² = 196 m².

The longer side length is 14 m + 5m = 19 m, so the area is (19 m)² = 361 m².

The increase in area is ...

  361 m² -196 m² = 165 m²

The area increases from 196 m² to 361 m², which is an increase of 165 m².

Answer:

The areas from 196 m² to 361 m², which is an increase of

165 m²

Answer:

2. Measure 5

3. lines m and n are parallel

4. line t is transversal

5. 8 angles are formed by transversal

6. 1, 3, 5, 7 are congruent. 2, 4, 6, 8 are congruent.

Answer:

Step-by-step explanation:

what are we looking for?/

Answer: D

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer: B rational

Step-by-step explanation:

Answer:

Bottom right does not belong.

Step-by-step explanation:

The bottom right chart does not belong.

It does not calculate the formula correctly after the first time:

y = 2/3x

y = 2/3(4)

y = 8/3

y = 2.66666...7

In the picture, it shows y = 4 instead which is untrue. When looking at the top left picture, the graph also shows that when x = 4, y = 2.66666...7.

The bottom left picture fits in because it's counting by 1's in gallons of lemonade and by 1.5's in cups of sugar. The graph is also counting by these numbers.

9514 1404 393

Answer:

  right

Step-by-step explanation:

If you're going to be in the business of classifying triangles based on side lengths, it can be useful to know there is a "form factor" that can help. For sides a, b, c, with long side 'c', it is computed as ...

  f = a² + b² - c²

It has the following interpretation with respect to triangle shape:

  f > 0 . . . acute

  f = 0 . . . right

  f < 0 . . . obtuse

__

In this case, we have ...

  16² +63² -65² = 256 +3969 -4225 = 0

The triangle is a right triangle.

_____

Additional comment

When the triangle is a right triangle, this is equivalent to a statement of the Pythagorean theorem: c² = a² + b².

For triangles of other shapes, the interpretation is consistent with the Law of Cosines. When the form factor is divided by 2ab, the result is the cosine of the largest angle. That is why >0 means acute and <0 means obtuse.

Answer:

Step-by-step explanation:

1)

2)

3)