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Answer:

Equation A: x = -1 and y = 3

Equation B: x = 12 and y = 16

Step-by-step explanation:

In the complex numbers (a + bi) and (x + yi)

Equation A

∵ (x + yi) + (4 – 7i) = 3 – 4i

∴ (x + 4) + (y - 7)i = 3 - 4i

→ Compare the real parts and compare the imaginary parts

∴ x + 4 = 3 and y - 7 = -4

∵ x + 4 = 3

→ Subtract 4 from both sides

∴ x + 4 - 4 = 3 - 4

∴ x = -1

∵ y - 7 = -4

→ Add 7 to both sides

∴ y - 7 + 7 = -4 + 7

∴ y = 3

Equation B

∵ (x + yi) - (-6 + 14i) = 18 + 2i

∴ (x - -6) + (y - 14)i = 18 + 2i

→ (-)(-) = (+)

∴ (x + 6) + (y - 14)i = 18 + 2i

→ Compare the real parts and compare the imaginary parts

∴ x + 6 = 18 and y - 14 = 2

∵ x + 6 = 18

→ Subtract 6 from both sides

∴ x + 6 - 6 = 18 - 6

∴ x = 12

∵ y - 14 = 2

→ Add 14 to both sides

∴ y - 14 + 14 = 2 + 14

∴ y = 16

Answer: In equation A,  -1  and  3 .  In equation B,  12  and  16 .

picture below

Step-by-step explanation:

Answer:

y= -x - 7

Step-by-step explanation:

Answer:

The value of m is 3 because (5^4)^3 = 244140625 and 5^12 = 244140625 also, this means they are both equal to each other. Another way of getting the correct answer is just seeing what times 4 will get you 12, as you can see

3 x 4 = 12.

So yea the answer is M = 3.

Step-by-step explanation:

Answer:2x-5= -10

If that was what you mean.

Step-by-step explanation:

Answer:

y = -5

y = -3

y = -1

y = 1

y = 3

Step-by-step explanation:

Answer:

10 dimes would be $1.00 and 4 nickels is $.20. That equals $1.20 and 14 coins.

Kaelyn has 4 nickels

Answer:

carolina needs to buy at least 713 paintballs to get $10 off

Step-by-step explanation:

Entrance fee = $18

Fee per ball = $0.08

The field has a promotion that says, "Get $10 off if you spend $75 or more"

Let B represent the number of paintballs that Carolina buys.

18 + 0.08B ≥ 75

Subtract 18 from both sides

0.08B ≥ 75 - 18

0.08B ≥ 57

Divide both sides by 0.08

B ≥ 57 / 0.08

B ≥ 712.5

Approximately

B ≥ 713

carolina needs to buy at least 713 paintballs to get $10 off

Answer:

Step-by-step explanation:

cant see the  picture :)

Answer:

6.40 cus I got it right ona test

Step-by-step explanation:

Answer:

B: 6.40

Step-by-step explanation:

Given:

Superman is working at Daily Planet Newspaper P(100, 40).

Bank robbery at B(40,80).

Criminals to jail at C(130, 105).

Then fly back to the Daily Planet.

To find:

The total distance for the trip.

Solution:

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using distance formula, the distance between Daily Planet Newspaper P(100, 40) and place of bank robbery at B(40,80) is

[tex]PB=\sqrt{(40-100)^2+(80-40)^2}[/tex]

[tex]PB=\sqrt{(-60)^2+(40)^2}[/tex]

[tex]PB=\sqrt{3600+1600}[/tex]

[tex]PB=\sqrt{5200}[/tex]

[tex]PB=20\sqrt{13}[/tex]

Similarly,

Distance between place of bank robbery at B(40,80) and jail at C(130,105) is

[tex]BC=\sqrt{\left(130-40\right)^2+\left(105-80\right)^2}[/tex]

[tex]BC=5\sqrt{349}[/tex]

Distance between jail at C(130,105) and Daily Planet Newspaper P(100, 40) is

[tex]CP=\sqrt{\left(100-130\right)^2+\left(40-105\right)^2}[/tex]

[tex]CP=5\sqrt{205}[/tex]

Total distance for the trip = PB+ BC +CP

[tex]Trip=2\sqrt{13}+5\sqrt{349}+5\sqrt{205}[/tex]

[tex]Trip=7.2111+93.4077+71.5891[/tex]

[tex]Trip=172.2079[/tex]

[tex]Trip\approx 172.21[/tex]

Therefore, the total distance for the trip is about 172.21 units.

Answer:

Hi!

My name is Euijin :D and the answer is:

600$

Step-by-step explanation:

I Divided 12 and 0.02 and got 600

Answer:

41, I did simple math

Answer:

it is ether b or c

Step-by-step explanation:

Answer:

Step-by-step explanation:

5) 6:18 = 1:3

6) 10:12 = 5:6

7) 12:28 = 6:14 = 3:7

8) 18:24 = 6:8 = 3:4

9) 16:20 = 8:10 = 4:5

10) 15:9 = 5:3

11) 5:30 = 1:6

12) 14:10 = 7:5

13) 6:16 = 3:8

14) 20:35 = 4:7

Hope this helps

plz mark as brainliest!!!!!

Answer:

Step-by-step explanation:

5) 6 : 18 = [tex]\frac{6*1}{6*3} = 1 : 3[/tex]

6) [tex]10 : 12 = \frac{2*5}{2*6} = \frac{5}{6}= 5 : 6[/tex]

7) [tex]12 : 28 =\frac{4*3}{4*7}=\frac{3}{7}= 3:7[/tex]

[tex]8) 18:24 =\frac{6*3}{6*4}=\frac{3}{4} = 3 : 4\\\\\\9)16 : 20 =\frac{4*4}{4*5}=\frac{4}{5}=4:5\\\\\\10) 15:9=\frac{5*3}{3*3}=\frac{5}{3}=5:3\\\\\\11)5:30 =\frac{5*1}{5*6}=\frac{1}{6}=1:6\\\\\\12)14:10=\frac{2*7}{2*5}=\frac{7}{5}=7:5\\\\\\13)6:16=\frac{2*3}{2*8}=\frac{3}{8}=3:8\\\\\\14)20:35=\frac{5*4}{5*7}=\frac{4}{7}=4:7\\\\[/tex]

To reduce to simplest form, find Greatest Common Factor of the two numbers and divide both numbers by the GCF

21 = 3 * 7

9  = 3 * 3

GCF = 3

[tex]\frac{21}{9}=\frac{3*7}{3*3}=\frac{7}{3}=7:3[/tex]

Answer:

-27.34

Step-by-step explanation:

to convert 17/50 to decimal, just multiply the numerator and denominator by 2 to see what the numerator would be out of 100 (aka in decimal)

17/50 --> 34/100

34/10 = .34

Answer:-27.34

Step-by-step explanation:

y = -2x + 3

y = -x + 10

y = 4x + 10

y = 3/2x - 2

y = -1/2x - 1

y = x + 5

y = 25x + 5

y = .99x + 1.99

y = x - 2

y = -1.50 + 1.50

y = 42x + 27

y = -1/3x - 2

now i am in my phone can see the photo

sometimes in the computer don't appear the picture

Answer:

x=2

Step-by-step explanation:

because if you put the equation as in x+11=6x+1  and do the equation you'll get x=2

Answer:

your awnser is n=1 if i wrong just message me but I'm positive that is the awnser

Answer:

0.0816

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

Answer: 2/3

Step-by-step explanation: you can count rise over run. the space from the two points is 4/6, which simplifies to 2/3.

Answer:

no

Step-by-step explanation:

this would not be considered a function

Answer:

the formula for the width of the photo on the cake

Step-by-step explanation:

The term 3n is best described as the formula for the width of the photo on the cake. That is because, as described in the question the original photo has a width of length n. While the photo on the cake is 3 times that of n, meaning that the formula is stating that the width of the photo is 3 multiplied by the value of n. Which is represented as 3n, just as shown in the question. Therefore, that would be the best representation of that term.

Answer:

x = 16

Step-by-step explanation:

the two angles are vertical angles.

vertical angles are equal.

4x - 7 = 3x + 9

subtract 3x from both sides of the

4x - 3x - 7 = 3x + 9 - 3x

x - 7 = 9

add 7 to both sides of the equation

x - 7 + 7 = 9 + 7

x = 9 + 7

x = 16

Answer:he 36

Step-by-step explanation:

Answer:

The answer should be72 toy cars.

Step-by-step explanation:

Step 1:

48-12

= 36

= 36 multiplied by 2

= 72

Answer:

D

Step-by-step explanation:

In 2 hours they wash 8 cars total so...

8

16

24

The extra time is 15 mins for 2 cars

Answer

10

Step-by-step explanation:

TAnswer: he graph in the attached figure

Step-by-step explanation:

we have

y-1=2/3(x-3)

This is the equation of a line into point slope form

where

the point is (3,1) and the slope is m=2/3

using a graphing tool

The graph in the attached figure

Answer:

the answer is B

Step-by-step explanation:

got it right on edge

hii!! i used an online calculator so i could help you quicker, but the area is 60, and the height is 12.

hope this helps!! <3