Can someone help me with this?

9514 1404 393

Answer:

  0.40+2.20i

Step-by-step explanation:

To clear the denominator of its imaginary part, multiply numerator and denominator by the conjugate of the denominator.

  [tex]\dfrac{3+4i}{2-i}=\dfrac{(3+4i)(2+i)}{(2-i)(2+i)}=\dfrac{6-4+3i+8i}{4+1}=\dfrac{2+11i}{5}\\\\=\boxed{0.40+2.2i}[/tex]

_____

Additional comment

This "multiply by the conjugate" is also used to clear radicals from the denominator. It takes advantage of the factoring of the difference of squares:

  (a -b)(a +b) = a² -b²

Answer:

Step-by-step explanation:

There are 2 pillars, two right prisms of dimensions 6x6x8 ft, two right pyramids of dimensions 6x6x4 ft on top of prisms.

There will be 4 faces of each painted.

Area of each prism face:

Total area of prism faces:

Slant height of pyramid faces:

Area of each face of pyramid:

Total area of pyramid faces:

Total area to be painted:

Cost of paint:

Total cost painted = 44,856

Answer in the picture.

Answer:

y = |x+6|

Step-by-step explanation:

To represent horizontal shift of a graph, we use the equation y = |x - h|, where h is the amount of units the graph is shifted.  

If we are shifting 6 units to the left, h = -6.  Therefore, the new equation will be: y = |x - (-6)| or y = |x + 6|

Answer:

She can travel for 10 days

Step-by-step explanation:

first you do 1,250 divided by 1,250 will equal 0. Then you do the other side 1,700- 1,250 =450. Then you do 450 divided by 45 and you will get 10

Hope this helps you out!

Answer:

3 and 2

Step-by-step explanation:

3+2=5

3-2=1

Hope this helps!!

Answer:

m = -3

c = 2

Step-by-step explanation:

if m = slope and c = y-intercept:

Convert to slope - intercept form : y = mx + b, or y = mx + c

2y + 6x = 4

2y = -6x + 4

y = -3x + 2

(m)Slope = -3

(c)y - intercept = 2

-Chetan K

Answer:

[tex] \\ • \: \frac{1}{8} + (2 - 4 \times 7)[/tex]

[tex] \\ = \frac{1}{8} + (2 - 28)[/tex]

[tex] \\ = \frac{1}{8} + ( - 26)[/tex]

[tex] \\ = \frac{1}{8} - 26[/tex]

[tex] \\ = \frac{1 - 208}{8} [/tex]

[tex] \\ = \frac{ - 207}{8} [/tex]

[tex] \\ = - 25 \frac{7}{8} \: \: or \: \: - 25.875[/tex]

[tex] \\• \: 20 \times 3 - 7(8 \times 9)[/tex]

[tex] \\ = 20 \times 3 - 7 \times 72[/tex]

[tex] \\ = 60 - 504[/tex]

[tex] \\ = - 444[/tex]

[tex] \\ • \: 23 - ( \frac{4}{2} ) + 7 - 4[/tex]

[tex] \\ = 23 - 2 + 7 - 4[/tex]

[tex] \\ = 23 + 7 - 2 - 4[/tex]

[tex] \\ = 30 - 6[/tex]

[tex] \\ = 24[/tex]

[tex] \frak {\overbrace{\underbrace{{{hope \: it \: helps}}}}}[/tex]

Answer:

B

Step-by-step explanation:

It's a right triangle, so the pythagorean theorem will be used a lot.

First, find the side length on the left.

25^2 = 7^2 + y

y = 24

Now, knowing that 7 - 3 = 4 (the smaller side length), I can use this theorem again to find x.

4^2 + 24^2 = x^2

x = [tex]\sqrt{592}[/tex]

Just need to simplify it a little farther...

592 / 16 = 37, so B must be the answer.

Answer:

c

Step-by-step explanation:

Line EG bisects angle DEF

Answer:

Step-by-step explanation:

Intersecting chords theorem:

Substitute values and solve for OS:

Correct choice is B

Answer:

3 or 4

Step-by-step explanation:

Answer:

p=(180.50-19.50)/23

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex](x_{1} ,y_{1}) = (-3 , -4) \\\\(x_{2},y_{2}) = (-7 ,16)\\\\\\Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\\=\dfrac{16-[-4]}{-7-[-3]}=\dfrac{16+4}{-7+3}\\\\=\dfrac{20}{-4}\\\\=-5[/tex]

(1 , -3) & ( 1 , 0)

The x-coordinates in the points are unchanged. So, the line is parallel to y-axis.

Slope is undefined.

3) (0,2)  , (4 , 0)

[tex]Slope =\dfrac{0-2}{4-0}=\dfrac{-2}{4}=\dfrac{-1}{2}[/tex]

Answer:

1.5

Step-by-step explanation:

Numbers in the interval are 0, 1, 2 and 3

Average Value = (0+1+2+3)/4=1.5

The average value of the numbers in the interval {0,3} is 1.5.

Average is defined as the ratio of the sum of the number of the data sets to the total number of the data. The average actually determines the middle value of the data.

Mean is defined as the ratio of the sum of the number of data sets to the total number of data.

Given that the value c is in the interval [0,3]. The interval is written {0,1,2,3}.

The average of the numbers is calculated as,

Average Value = (0+1+2+3)/4

Average Value =1.5

Therefore, the average value of the numbers in the interval {0,3} is 1.5

To know more about an average follow

https://brainly.com/question/20118982

#SPJ2

Answer:

15. 41.68 inches

16. 78.79°

Step-by-step explanation:

It's a little hard to explain in just text, but I'll try.

15 ================

This is assuming that "length" means the base of the ramp, not the top. Imagine/draw a right triangle with a 21° angle at the bottom and a height of 16 inches. We have the angle, the opposite side, and we need to find the adjacent side that is the base. Use tangent (soh cah toa) to find this.

[tex]tan(21)=\frac{16}{x} \\xtan(21)=16\\x=\frac{16}{tan(21)}[/tex]

x ≈ 41.68

16 ================

From the angle between the ladder and the ground, the ground is adjacent and the ladder is the hypotenuse. Given 2 sides and no angle, we'll use inverse cosine.

[tex]cos^{-1}(\frac{7}{36})=x\\[/tex]

x ≈ 78.79°

Answer:

6^4

Step-by-step explanation:

6^2*6^9/6^7

6^(2+9)/6^7

6^(11-7)

6^4 or 1296

Answer:

forty six hundred thousand tweny five thound and six hundred eighty nine

six hundred and fifty eight hundred nine thoundsand two and two hundred and fifty

Step-by-step explanation:

Answer:

6 ft/s

Hope I helped

Answer: its an enlargement and when it enlarges A goes up 6 and moves to the right 3 spaces P stays the same b also moves to the right 6 spaces

so in conclusion answers are

A'=(8,5)

B'=(-2,10)

Step-by-step explanation:

i hopes this helps if it doesn't I'm very sorry i tried helping the best i can :|

Answer:

If we assume that everyone in the group is an owner, we would have

[tex]20*2=40[/tex] legs.

[tex]64-40=24[/tex] legs

Therefore, we need 24 more legs.

These 24 additional legs can be made from the difference of legs between the owners and dogs.

In this case, dogs have [tex]4-2=2[/tex] more legs than an owner.

24 ÷ 2 = 12.

There are 12 dogs in the group.

Answer:

Can you pls give a bit more information.

Step-by-step explanation:

Step-by-step explanation:

kruitika- 42

Gordorn-31

so krutila was 11 when they gave birth to Gordon

she was 23 when they gave birth to pip

The youngest of them is pip so pip is =19

The volume of a cone is (1/3)πr2h.

In this problem r=2h or h=(1/2)r

Hence V = (1/6)πr3

dV/dt = (1/2)πr2 dr/dt

With this information you should now be able to answer the question. Remember the relation between r and h!

never mind i was right

im also so sorry if you dont understand or its not one of the answers

Answer:

t a sand and gravel plant, sand is falling off a conveyor, and onto a conical pile at a rate of 10 cubic feet per minute. The diameter of the base of the cone is approximately three times the altitude. At what rate is the height of the pile changing when the pile is 15 feet high?

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Hope this helps! Have a great day ahead. Tell me if I'm wrong :) Stay Safe <3

Answer:

1

Step-by-step explanation:

they are both co-prime (numbers that have a common factor of only 1)