Perform the indicated operations on the following complex numbers. Simplify:
-6(3 + 5i)

Step-by-step explanation:

Given

8(x - 1) = - 4x + 136

8x - 8 = -4x + 136

8x + 4x = 136 + 8

12x = 144

x = 144 / 12

x = 12

1/2 + 3/8 = 4+3/8 = 7/8

Answer:

7 / 8

Step-by-step explanation:

In order to add fractions, the denominators must be the same.

1 / 2 + 3 / 8

Find the least common denominator by prime factorization.

2:2

8:2, 2, 2

To determine the least common denominator (LCD), multiply the common factor 2 times the other factors in blue.

LCD = 2 × 2 × 2 = 8

Multiply  1 / 2 times 4 / 4 so that it will have a denominator of 8.

1 / 2 × 4 / 4 + 3 / 8

= 4 / 8 + 3 / 8

= 7 / 8

Hope this helps :)

The coordinates of the point that makes the division in the given ratio is (0,3)

Step-by-step explanation:

Here, we want to find the point on the line segment that divides the line segment in the ratio 1:2

We simply use the internal division formula

That would be;

(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)

m = 1 and n = 2

(x1,y1) = (4,9)

(x2,y2) = (-8,-9)

Substituting these values into the formula, we have;

2(4) + 1(-8)/(1 + 2) , 2(9) + 1(-9)/(2 + 1)

= (8-8)/3 , (18-9)/3

= (0,3)

Answer:

Don't go to the mansion

Step-by-step explanation:

Hope this helps

Answer:

3 and 13 are supplementary angles.

8 and 10 are vertically opposite angles.

11 and 15 are co - interior angles.

8 and 16 are vertically opposite angles.

1 and 6 are alternating angles.

6 and 10 are supplementary angles.

14 and 15 are supplementary angles.

Answer:

The equation is P= 2w + 2(w+4.1)

The width is 8.2cm

Step-by-step explanation:

Answer:

4 /19

Step-by-step explanation:

3(7x - 1) = 1(2x + 1)

21x - 3 = 2x + 1

19x = 4

x  4/19

Answer:

7175

Step-by-step explanation:

100%->7000

102.5%->7175

Answer:

Step-by-step explanation:

[tex]3x-7\ge 14\\ \\ 3x\ge 21\\ \\ x\ge 7\\ \\ \text{The graph will be shaded from the x=7 vertical line and rightward to infinity.}[/tex]

Answer:

awnser would be d x is multiplied by 1/3 so horizontal stretch

Answer:

Step-by-step explanation:

y-(-4)= 7/4(x-(-4)

Y+4= 7/4x +4

Y = 7/4x

Don't get confused by the words and write it out!

What is [tex]\frac{8\sqrt{3}}{2}[/tex]?

we can seperate this to what is 8 * [tex]\sqrt{3}[/tex] / 2

we just cancel out the 2 with the 8. So the answer will be

4[tex]\sqrt3[/tex]

Hope it helped!

Answer:

see in the pic, we have: E(-5; -3), F(-3; -6), A(-5; -8), B(1,-8), C(3; -5), D(1;0)

=> AB = 6

[tex]bc = \sqrt{(3 - 1) {}^{2} + ( - 5 + 8) {}^{2} } = \sqrt{13} \\ \\ \\ cd = \sqrt{(1 - 3) {}^{2} + ( - 5) {}^{2} } = \sqrt{29} \\ \\ \\ [/tex]

[tex]de = \sqrt{( - 5 - 1) {}^{2} + ( - 3) {}^{2} } = 3 \sqrt{5} [/tex]

[tex]ef = \sqrt{( - 3 + 5) {}^{2} + ( - 6 + 3) {}^{2} } = \sqrt{13} [/tex]

[tex]fa = \sqrt{( - 5 + 3) {}^{2} + ( - 8 + 6) {}^{2} } = 2 \sqrt{2} [/tex]

the perimeter of the shape = AB + BC + CD + DE + EF + FA

[tex] = 6 + \sqrt{13} + \sqrt{29} +3 \sqrt{5} + \sqrt{13} + 2 \sqrt{2} [/tex]

[tex] = 28.13[/tex]

Answer:

1200.96m

Step-by-step explanation:

please give me brainliest

Answer:

V = 1200.96 [tex]m^{3}[/tex]

Step-by-step explanation:

V = [tex]\pi[/tex] [tex]r^{2}[/tex] [tex]\frac{h}{3}[/tex] [tex]\pi[/tex] x [tex]9.14^{2}[/tex] x [tex]\frac{13.72}{3}[/tex] = 1200.95996[tex]m^{3}[/tex]

Answer:

80 minutes

Step-by-step explanation:

Answer:

Tom worked for 1 hour and 20 minutes.

Step-by-step explanation:

Answer:

(x,y)=(6,6)

Step-by-step explanation:

there you go

Answer:

x = 2

z = 85°

Step-by-step explanation:

95° + z = 180°

z = 180 - 95

z = 85°

z + (11x + 73) = 180°

85 + (11x + 73) = 180°

11x + 85 + 73 = 180°

11x + 158 = 180°

11x = 180 - 158

11x = 22

x = 22/11

x = 2

Answer:

c.) 28 games

Step-by-step explanation:

First, you divide 80% by 100

80/100 = 0.8

Then, multiply it by the total games they have played.

0.8 * 35 = 28

There you have your answer :)

Answer:

C) 28 Games

Step-by-step explanation:

Answer:

990.037

Step-by-step explanation:

Answer:

Your question isn't clear

Step-by-step explanation:

Answer:

61 and 67

Step-by-step explanation:

Answer:

The only prime numbers between 60 and 70 are 61 and 67 -->

Step-by-step explanation:

Answer:

The answer is 13.

Step-by-step explanation:

Answer:

x ≤ 19

Step-by-step explanation:

Answer:

Step-by-step explanation:

In parallelogram opposite angles are equal

6x = 66      {Divide both sides by 6}

x = 66/6

x = 11

20y - 46 = 13y + 10     {Add 46 to both sides}

20y - 46 + 46 = 13y + 10 + 46

             20y   = 13y + 56     {Subtract 13y from both sides}

   20y - 13y    = 13y-13y + 56

              7y    =  56    {Divide both sides by 7}

                y =  56/7

y = 8

Answer: Infinitely many solutions when we graph this it comes out as one straight line also try using Desmos it helps with equations like this by graphing them for you! -Your friend, Bill Cipher

Step-by-step explanation: Have a great Valentines day <3

Answer:

16,777,216 bacterias.

Step-by-step explanation:

There are 24 hours in one day, and the given bacteria (1) doubles every hour.

Hour 0: 1

Hour 1: 1 x 2 = 2

Hour 2: 2 x 2 = 4

Hour 3: 4 x 2 = 8

Hour 4: 8 x 2  = 16

Hour 5: 16 x 2 = 32

Hour 6: 32 x 2 = 64

Hour 7: 64 x 2 = 128

Hour 8: 128 x 2 = 256

Hour 9: 256 x 2 = 512

Hour 10: 512 x 2 = 1,024

Hour 11: 1,024 x 2 = 2,048

Hour 12: 2,048 x 2 = 4,096

Hour 13: 4,096 x 2 = 8,192

Hour 14: 8,192 x 2 = 16,384

Hour 15: 16,384 x 2 = 32,768

Hour 16: 32,768 x 2 = 65,536

Hour 17: 65,536 x 2 = 131,072

Hour 18: 131,072 x 2 = 262,144

Hour 19: 262,144 x 2 = 524,288

Hour 20: 524,288 x 2 = 1,048,576

Hour 21: 1,048,576 x 2 = 2,097,152

Hour 22: 2,097,152 x 2 = 4,194,304

Hour 23: 4,194,304 x 2 = 8,388,608

Hour 24: 8,388,608 x 2 = 16,777,216

~

Another way to do it is using exponential functions. If it doubles every hour as such: [tex]2^{x}[/tex]  , in which x is the amount of hours: [tex]2^{24} = 16777216[/tex]

~

Answer:

The answer is - 7.95

Step-by-step explanation:

[tex]15.9x + c = 5.3(3x - 1.5) \\ 15.9x + c = 15.9x - 7.95 \\ c = - 7.95[/tex]