Three complex numbers are given as (1 + 21), (3 - 3i), and (4 + 6i). Find
their sum.

Answer:

the answers for x and y are both 12

Answer:

x=50 and y=80

Step-by-step explanation:

ATQ, x+50+y=180 and y+2x=180. x=50 and y=80

[tex] \begin{cases}\large\bf{\green{ \implies}} \tt \: \frac{6}{5} \: k \: = \: 12 \\ \\ \large\bf{\green{ \implies}} \tt \: \frac{6k}{5} \: = \: 12 \\ \\ \large\bf{\green{ \implies}} \tt \: 6k \: = \: 12 \: \times \: 5 \\ \\ \large\bf{\green{ \implies}} \tt \: 6k \: = \: 60 \\ \\ \large\bf{\green{ \implies}} \tt \: k \: = \: \cancel\frac{60}{6} \\ \\ \large\bf{\green{ \implies}} \tt \: k \: = \: 10 \end{cases}[/tex]

Answer:

k = -10

Step-by-step explanation:

In order to solve for k, we need to isolate the variable. This means we need k to be on one side of the equation by itself.

We are given:

[tex]-\frac{6}{5}k=12[/tex]

The first thing I would do is multiply both sides of the equation by 5:

[tex](5)-\frac{6}{5}k=12(5)[/tex]

This leaves us with:

[tex]-6k=60[/tex]

Now, in order to get k by itself, we need to divide by -6 on both sides:

[tex]\frac{-6k}{-6}=\frac{60}{-6}[/tex]

Therefore:

[tex]k=-10[/tex]

Answer:

1

Step-by-step explanation:

a/b=3------equation 1

a+b=2-----equation 2

from equation 2

b=2-a

substitute b=2-a in equation 1

a/2-a=3

a=3(2-a)

a=6-3a

a+3a=6

a=6/4

a=3/2

substitute a=3/2 in equation 2

3/2+b=2

3+2b=4

2b=1

b=1/2

a-b=3/2-1/2

a-b=(3-1)/2

a-b=2/2

a-b=1

Answer:

x = 4

Step-by-step explanation:

3x+8x=13+31

Combine like terms

11x =44

Divide by 11

11x/11 = 44/11

x = 4

The answer you are looking for is x=4.

Solution:

3x+8x=13+31

Combining and adding similar terms,

11x=44

Dividing both sides by 11,

So, therefore,

The final answer is x=4.

Answer: UV = 52

Concept:

Additive property of length, or the segment addition postulate, states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

Solve:

Given information

TU = 4x

UV = 2x + 14

TV = 7x - 5

Given expression deducted from the additive property of length

TV = TU + UV

Substitute values into the expression

7x - 5 = 4x + 2x + 14

Combine like terms

7x - 5 = 6x + 14

Subtract 6x on both sides

7x - 5 - 6x = 6x + 14 - 6x

x - 5 = 14

Add 5 on both sides

x - 5 + 5 = 14 + 5

x = 19

Find UV by substituting the value of x

UV = 2x + 14 = 2 (19) + 14 = [tex]\boxed{52}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

9514 1404 393

Answer:

  (b)  (−3, −5), because the point satisfies both equations

Step-by-step explanation:

Any solution to a system of two equations must satisfy both equations. The only reasonable explanation of "why" is the one associated with the answer shown above.

Answer:

6 or 5 or 4...........

Step-by-step explanation:

Answer:

x=N :x<7

Step-by-step explanation:

123456

hope it's helpful

[tex]\\ \sf\longmapsto 2x^2=10x[/tex]

[tex]\\ \sf\longmapsto x^2=\dfrac{10x}{2}[/tex]

[tex]\\ \sf\longmapsto x^2=5x[/tex]

[tex]\\ \sf\longmapsto x=5[/tex]

Given the data provided, it follows that the farmers must wait for 26 days before feeding the hay to cows.

The term half life is defined as the time taken for half of the original amount of the radioactive sample to remain.

Now we know that;

half life = 8 days

Original amount = No

Amount left after t days = 0.1No

time taken = t days

Hence;

0.693/8 = 2.303/t log (No/0.1No)

0.087 = 2.303/t

t = 2.303/0.087

t = 26 days

Learn more about radioactivity: https://brainly.com/question/14356798

Answer:

A=a+b

2

Step-by-step explanation:

To find the area of a trapezoid, multiply the sum of the bases (the parallel sides) by the height (the perpendicular distance between the bases), and then divide by 2.

Answer:

in 8 days

Step-by-step explanation:

soln

given,

total days=120

department=15

we know,

120/15

=8

•°•8days are given to each department.

[tex]\boxed{\underline{\bf \: Answer}}[/tex]

[tex] \sf100 \times 20 + 30[/tex]

First multiply 100 & 20 together.

[tex] \sf= 2000 + 30[/tex]

Now add 2000 & 30. You'll get :-

[tex]= \boxed{ \bf 2030}[/tex]

____

Hope it helps.

RainbowSalt2222

[tex]\\ \rm\longmapsto 100\times 20+30[/tex]

[tex]\\ \rm\longmapsto (100\times 20)+30[/tex]

[tex]\\ \rm\longmapsto 2000+30[/tex]

[tex]\\ \rm\longmapsto 2030[/tex]

Answer:

C. 0

Step-by-step explanation:

Since we are finding f(-4), we use the first function since -4 is less than -2.

f(-4) = (-4) + 4 = 0

Therefore, the answer is C.

Answer:

I think the answer is

x-16

since 16 is subtracted from x.

I hope this helps

Answer:

π×64×4=804.25

Step-by-step explanation:

Formula of cylinder is π×square of radius×height

Answer:

803.8

Step-by-step explanation:

it's 3.14×8×8×4 which would give you 803.84 and then you round which would give you 803.8

Answer:

Ex. 45° & 89°

Step-by-step explanation:

Acute angles are angles less than 90°. Therefore, any angle less than 90° will do.

Answer:

acute angles are angles which are less than 90° .

For example . A angle with 50°.

more examples of acute angels are : 78° , 60° , 45° , 30 ° .

hope this helps you

mrk me braniliest

Answer:

answer is 12

Step-by-step explanation:

gcf = 3

lcm = 180

let 45 be y

let unknown be X

to get x

X=( lcm * gcf) / y

X=(180*3)/45

X=(540)/45

X=12

the other number is 12

Answer:

Step-by-step explanation:

When you're looking to find things like f(2) and f(4) and f(-3000), etc. the number inside the parenthesis is an x value. Look to the graph, find that x value, and locate the y value that corresponds to it. f(2) = -8. f(-1) = 4. f(1) = -4. See?

Answer:

does not exist

Step-by-step explanation:

that what i put hope it helps

Answer:

plato screenshot!

Step-by-step explanation:

I don't personally know *how* to find the answers, but here's the screenshot of the suggested answer on Plato

Answer:

A B Slope of  C Slope of Line Through C

(−5,4) (−1,−1) −1.25 (1,2) 0.8

(−5,4) (−3, 5) 0.5 (−2, 1) −2

(−4, 1) (−3, 5) 4 (−2, −2) −0.25

(−5, −2) (−1, 1) 0.75 (−4, 3) −1.33

(−5, −2) (1, −1) 0.17 (−3, 1) −6

Step-by-step explanation:

that way you can copy and paste each one but Plato

Answer:

81/25

Step-by-step explanation:

change 3.24 into faction

324 over 100 because there are two decimal points .

simplfy into the smallest fraction

the answer is 81 over 25

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The correct option is A.

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centers overlap each other to form a right cylinder.

The solid is described as a three-dimensional solid made from

two parallel and congruent discs, not in the same plane, and all the points

between them is a Cylinder.

Hence, the correct option is A.

Learn more about Cylinder:

https://brainly.com/question/12248187

#SPJ2

9514 1404 393

Answer:

   79 23/24 yards

Step-by-step explanation:

  10 5/8 +24 5/6 +44 1/2 = (10 +24 +44) +(5/8 +5/6 +1/2)

  = 78 +(15/24 +20/24 +12/24) = 78 +47/24 = 79 23/24 . . . yards

_____

Express the fractions over a common denominator, add, and convert back to a mixed number. Here, the fraction cannot be reduced.

47/24 = 1 23/24

Answer:

A)   ± 54 cm^3 ( maximum possible error in volume )

B) i) 58.625 cm^3  ii) 49.625 cm^3

Step-by-step explanation:

A) using differential

edge of cube = 6 cm ,  maximum possible error = 0.5 cm

∴ side of cube ( x )= ± 0.5 cm

V = volume of cube

dv /dx = d(x)^3 / dx

∴ dv  = 3x^2 dx ---- ( 1 )

input values into 1

dv = 3(6)^2 * ( ± 0.5 )

    = ± 54 cm^3 ( maximum possible error in volume )

B) Using calculator

actual error in measuring volume when

i) radius = 6.5 cm instead of  6 cm

V1= ( 6.5)^3 = 274.625 ,  V = ( 6)^3 = 216

actual error = 274.625 - 216 = 58.625 cm^3

ii) radius = 5.5cm instead of 6cm

actual error = 49.625 cm^3

Answer:

x = 20

y = 10

Answered by Gauthmat