Find the sum of the complex numbers.
(3 + 5i) + (10 + 71)
O A. 13 + 121
O B. 7 + 121
O
C. 13 + 2i
O D. 7 + 21

Answer:

y= -6

Step-by-step explanation:

-4y - 20 + 19 = -y + 17        *add y on the right to get rid of -y

+y                    +y                then add it to -4y

-3y - 20 + 19 = 17               *add 20 to the left to get rid of -20  

     +20           +20              then add it to 17

-3y + 19 = 37                      *subtract 19 from the left to get rid of 19

       -19    -19                      then subtrcat 19 from 37 as well

-3y = 18                             *now we want to divide both sides by -3 to

-3      -3                               get y by it's self

y = -6                                *no we're left with y = -6 :D

- im sorry if this doesn't make sense x(

Answer:

(5x+7)(25x^2-35x+49)

Step-by-step explanation:

Not really an explanation for factoring, but I'm sure it's right.

Answer:

(465 - 75) ÷ 65

She worked for 6 hours

Step-by-step explanation:

Answer:

Step-by-step explanation:

jj

Answer:

x= 13.5

Step-by-step explanation:

f(x) = 2x + 9

f(x) = 36

Set the 2 equations equal to each other;

2x + 9 = 36

Subtract 9 from both sides;

2x = 27

Divide both sides by 2;

x = 13.5

Check:

f(x) = 2x + 9

f(13.5) = 2(13.5) + 9= 27 + 9 = 36

Answer:

cylinder

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

576Km:6Hrs

576 divided by 6=96 km

6 divided by 6=1

96km:1hr

96 was the coaches speed limit

km=Kilometers

Hrs=Hours

96>90

yes , the coach break the speed limit and the average speed is 96 km ph

Speed is the time rate at which an object is moving along a path

Given,

A coach travels to the beach which is 576 KM away in 6 hours.

The maximum speed he can travel is speed of 90 kph

We need to check whether the coach breaks the speed limit or not.

Yes he has to break the speed limit because in 6 hours with 90kph he can travel only 540 km. He still needs to travel 36 km.

and the average speed he has to maintain is 576/6

96kmph

Hence, yes the coach break the speed limit and the average speed is 96 km ph

To learn more on Speed click:

https://brainly.com/question/28224010

#SPJ2

Answer:

x = - 2, x = 9

Step-by-step explanation:

Given

f(x) = [tex]\frac{x^2-9x}{x^2-7x-18}[/tex]

The denominator of f(x) cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the values that x cannot be.

x² - 7x - 18 = 0

(x - 9)(x + 2) = 0

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 9 = 0 ⇒ x = 9

The excluded values are x = - 2, x = 9

Answer:

A D

Step-by-step explanation:

Since it is a one time fee of 55$, that will be our y intercept.

That allows A and D and F possible answers.

It says 10$ per puzzle and they spent 1245$

So A and D are answers.

Answer:

I think it is D. 9/15 * 14/20

9514 1404 393

Answer:

  C.  3/10 * 2/5

Step-by-step explanation:

3 of the 10 horizontal stripes are colored orange, representing a fraction of 3/10.

2 of the 5 vertical stripes are colored purple, representing a fraction of 2/5.

The area of overlap is 6 of the 50 small boxes, so represents the product ...

  3/10 * 2/5 = 6/50

Answer:

h (1,2), w (3,4), y (6,0)

Step-by-step explanation:

Reflecting across y-axis means only changing the x -value between negative and positive. Flipping the sign

Answer:

[tex]\overline{GB}[/tex] = 9

Step-by-step explanation:

The given parameters are;

The point of intersection of the perpendicular bisectors of the sides [tex]\overline{BC}[/tex], [tex]\overline{BA}[/tex], and [tex]\overline{CA}[/tex] intersect (meet) at point G

Let D represent the point of intersection of the perpendicular bisector from G to [tex]\overline{BC}[/tex], we have for ΔBGD and ΔCGD;

[tex]\overline{GD}[/tex] ≅ [tex]\overline{GD}[/tex] by reflexive property

∠GDB = ∠GDC = 90° given that [tex]\overline{GD}[/tex] is the perpendicular bisector of [tex]\overline{BC}[/tex]

Similarly, [tex]\overline{DB}[/tex] ≅ [tex]\overline{DC}[/tex], also given that  [tex]\overline{GD}[/tex] is the perpendicular bisector of [tex]\overline{BC}[/tex]

Therefore;

ΔBGD ≅ ΔCGD by Side-Angle-Side (SAS) rule of congruency

[tex]\overline{GB}[/tex] ≅ [tex]\overline{GC}[/tex]   by Congruent Parts of Congruent Triangles are Congruent, (CPCTC)

[tex]\overline{GB}[/tex] = [tex]\overline{GC}[/tex] = 9 by definition of congruency

∴ [tex]\overline{GB}[/tex] = 9.

Answer:

2/3

Step-by-step explanation:

7/x -10 = 3/6

7/x =3/6 +10

7/x = 63/6

42 = 63x

x = 42/63 or 2/3

Answer:

2/3

Step-by-step explanation:

Answer:

The measure of JHK is 25 degrees

Step-by-step explanation:

If GHI is equilateral, it means each of the angles are equal to 60 degrees

Thus;

7x - 31 = 60

7x = 60 + 31

7x = 91

x = 91/7

x = 13 degrees

The measure of JHK IS x + 12

simply insert the value of x here

Angle JHK = 13 + 12

Angle JHK is 25 degrees

Answer: 25

Step-by-step explanation:

Answer:

Step-by-step explanation:

x = (20 + 12)/2

x = 32/2

x = 16

Answer:

17

Step-by-step explanation:

The translation of the given question is

f (x) = - 8x− 4 what is the slope y and the position coefficient f (x) = (6x− 12): 3 what is the slope y and the position coefficient

Answer:

We need to determine slope and position coefficient which is the intercept.

f (x) = - 8x− 4   we know that f(x) is y

slope intercept form of the line

y = -8x -4

slope = -8

intercept = -4

similarly

f (x) = 6x− 12

y = 6x -12

slope =6

intercept = -12

Answer:

this is Newton's first law

Step-by-step explanation:

the soccer ball when kicked keep going forward until friction a person or another object like a wall stops it when the soccer ball is resting non-moving on the ground or stay like that until someone kicks it or another Force acts upon it

Answer:

C

Step-by-step explanation:

I hope this helps!! Feel better

Answer:

the answer is A because it has all numbers less than 15

Step-by-step explanation:

Answer:

555555

Step-by-step explanation:

Answer:

sorry im just answering this cuz need points

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

13x-2

Step-by-step explanation:

Answer:

13x - 2

Step-by-step explanation:

6x - 2 + 7x

13x - 2

9514 1404 393

Answer:

  m∠CAB = 62°

  m∠CBG = 114°

Step-by-step explanation:

Given:

  the above figure

Find:

  What are the measures of angles CAB and CBG

Solution:

The total angle at C is 32°+52° = 84°. We know that "remote interior" angles ECB and EBE have a sum that matches angle CEF.

So, angle CBE = 150° -84° = 66°

Angle CBG is the supplement of this, so is ...

  m∠CBG = 180° -66° = 114°

That angle is the total of "remote interior" angles BCA and CAB. So angle CAB is ...

  m∠CAB = 114° -52° = 62°

Answer:

The answer is 5/6

Step-by-step explanation:

7/12 + 3/12 = 10/12

10/12 = 5/6 ( divide the numerator and denominator by 2)