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Answer:

answe is 1+i

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Answer:

[tex]\large\boxed{1+i}[/tex]

Step-by-step explanation:

[tex]$\frac{4+2i }{3-i} $[/tex]

Factor the numerator

[tex]$\frac{2(2+i) }{3-i} $[/tex]

Multiply both numerator and denominator by the conjugate of the denominator.

[tex]$\frac{2(2+i) }{3-i} \cdot \frac{3+i }{3+i} = \frac{2(2+i)(3+i) }{9-i^2} $[/tex]

Once [tex]i^2=-1[/tex]

[tex]$\frac{2(2+i)(3+i) }{10} $[/tex]

Solving the numerator

[tex]2(2+i)(3+i) = 2(6+2i+3i+i^2) = 2(6+5i-1)=2(5+5i)[/tex]

[tex]$\frac{2(5+5i)}{2 \cdot 5} =\frac{5+5i}{5}=\boxed{1+i} $[/tex]

Answer: D- multiply divide both sides by the same variable expression. B- no

Step-by-step explanation:

Multiply/divide both sides by the same variable expression. The correct option is D.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The given expression will be solved as below:-

5x = 3x

Multiply both sides of the expression by (1/x ).

( 1/x ) 5x = ( 1/x )3x

5 = 3

Divide both sides by x.

5x = 3x

5x /  x = 3x / x

5 = 3

Therefore, multiply/divide both sides by the same variable expression. The correct option is D.

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Answer:

12 less than or equal to 2

Step-by-step explanation:

The inequality for the given statement is $12 ≤ $2(n).

The equations with inequalities are those who have unequal sides on both sides. Unlike the equation, we compare the two values when we work with inequality. The equal sign is substituted between by being less than (or less than or equal to), larger than (or greater or equal to), or not equal to sign.

As per provided data from the question,

Total money to spent on the ride tickets = $12

Price of each ticket for a ride =$2

So, the inequality will be : $12 ≤ $2(n), here n is the number of rides.

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Answer:

46

Step-by-step explanation:

50%=0.5

0.5*92=46

Answer:

5x+15

Step-by-step explanation:

Answer:

5x+15

Step-by-step explanation:

3(x+2)+4+2x+5

(3x+6)+4+2x+5.

(3x+6)+9+2x

5x+15

Answer:

6

Step-by-step explanation:

A = S²

36 = S²

[tex]\sqrt{36}[/tex] = [tex]\sqrt{S^{2} }[/tex]

6=S

Answer:

Arrange the data in ascending order

1,1,2,3,4,4,4,5,5,5,5,6,6,7,8,11

n=16

position of median = (n+1)/2 = 17/2 = 8.5 th item

8.5 th item is the average of 8 and 9th item

median = (5+5)/2 = 5

Range = largest value - smallest value

           = 11 -1 = 10

position of Q1=  (n+1)/4 = 17/4 = 4.25 th item

Q1 = 4 + 0.25(5th item - 4th item )

    4 + 0.25(4-3)

= 4.25

position of Q3=  (n+1)/4 = 3*17/4 = 12.75 th item

Q1 = 12 + 0.75(13th item - 12th item )

    12 + 0.75(6-6)

= 12

Step-by-step explanation:

Answer: [tex]d=\frac{T+N3}{G}[/tex]

Step-by-step explanation:

To solve for d, we want to use algebraic properties to isolate d.

[tex]T=Gd-N3[/tex]            [add both sides by N3]

[tex]T+N3=Gd[/tex]            [divide both sides by G]

[tex]\frac{T+N3}{G} =d[/tex]

[tex]d=\frac{T+N3}{G}[/tex]

Now, we know that [tex]d=\frac{T+N3}{G}[/tex].

Answer:

False

Step-by-step explanation:

Unit Rate Definitions Unit rate is used to compare quantities in which the second quantity is one. Common examples of unit rate would include, miles per hour earnings per hour cost per gallon.

How much of something per 1 unit of something else. Examples: • 100 cars pass by in 2 hours. The unit rate is 50 cars per hour.

Answer:

False

Step-by-step explanation:

it could be 5 cats : 6 dogs.

Unit rates can be unequal too.

Answer:

Step-by-step explanation:

The distance between a point (x,y) and the point (-3,4) is

d1= [tex]\sqrt{ (x+3)2+(y-4)2}[/tex] .

The distance between a point (x,y) and the point (0,0) is

d2= [tex]\sqrt{x2+y2}[/tex] .

You know what y is from the equation of the line, so substitute that, set d1=d2, and solve for x.

The coordinates of the point on the straight line y=3x+1 that is equidistant from the origin and (−3, 4) is (-33/18, 39/6)

The distance formula is expressed as:

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

For the coordinate point (x,y) to (-3, 4), the distance is expressed as:

[tex]D_1 = \sqrt{(x+3)^2+(y-4)^2}\\[/tex]

For the coordinate point (x,y) to (0, 0), the distance is expressed as:

[tex]D_2=\sqrt{(x-0)^2+(y-0)^2}\\D_2 = \sqrt{x^2+y^2}[/tex]

Since the distance are equidistant, then D1 = D2

[tex]\sqrt{(x+3)^2+(y-4)^2} = \sqrt{x^2+y^2}\\ (x+3)^2+(y-4)^2 = x^2+y^2\\x^2+6x+9+y^2-8y+16 = x^2+y^2\\6x+9-8y+16=0\\6x-8y+25=0[/tex]

Substitute y = 3x+1 and get x

6x - 8y + 25 = 0

6x-8(3x+1) - 25 = 0

6x -24x-8-25=0

-18x-33 = 0

-18x = 33

x =-33/18

Sincey= 3x + 1

y = 3(33/18) + 1

y = 33/6 + 1

y = 39/6

Hence the required coordinates is (-33/18, 39/6)

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Answer:

answers in the explanation.

Step-by-step explanation:

1. x=12

2 x=7

3.x=8

4.x=5

Answer:

18m+n4

Step-by-step explanation:

i think.

Answer: girly im not gonna lie im no mathematician but i came up with 18m  8n i sowy if it's wrong but, you can't blame a girl from trying .

Step-by-step explanation: i combined like terms but im probably still wrong just saying .

Answer:

15/32 or 0.46875

Step-by-step explanation:

Answer:

Step-by-step explanation:

B

Answer:

1) 2 1/4 inches (2.25)

2) 5.3 millimeters

3) X=10 and YZ=60

Step-by-step explanation:

Number 1, you just add the measurements because n and q is the start and end of the line segment.

Number 2, you are given the whole measurement, and you know FG which is 9.7, so you subtract the 15 (whole measurement) by 9.7, which is 5.3.

Number 3, you know that XY and YZ equal XZ, so 8x+1 would equal 81. Do the math, you would get 8x=80 and then x=8. Now you know x, plug it in for 6x, so 6(10)=60.

Answer:

A sum of RS 700 is to be used to give seven cash prizes to students of school for their overall academic performance. If each prize is RS 20 less then its preceding prize, find the value of each of the prizes.

Answer:

This might help u...

Answer:

hey i would help you but i cant because my school computer blocked the image

Step-by-step explanation:

if you could tell me text wise i might be able to help you out :)

Answer:

9/20

Step-by-step explanation:

I guess I was help full for u

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Hey there!☺

[tex]Answer:\boxed{6.41*10^{13}}[/tex]

[tex]Explanation:[/tex]

[tex]64,100,000,000,000[/tex] as a scientific notation would be written like this:

[tex]{6.41*10^{13}}[/tex]

Hope this helps!

Answer:

13

Step-by-step explanation:

-5+5=0

0+8=8

5+8=13

Answer: 13

Step-by-step explanation:

an equation in slope intercept form is

y=mx+b

Answer:

y=mxb,

cuz the mx stands for slope, and the b stands for y-intercept

Explanation:

The tickmarks indicate which segments are the same length. On the left side, the single tickmark segments are the same length, and the same can be said about the double tickmarks segments as well. Because of this, the segment x cuts the diagonal sides in half.

The segment x is known as a midsegment of the triangle. It is half as long as the parallel side of 24 units. So x = (1/2)*24 = 12.

Answer:

1.4x10=14 if thats ur question

Step-by-step explanation:

Answer:

[tex]3 \sqrt{5} [/tex]

Step-by-step explanation:

Solve using Surd

[tex] \sqrt{45} = \sqrt{9 \times 5} \\ = \sqrt{ {3}^{2} \times 5 } \\ = 3\sqrt{5} [/tex]

The expression 3√5 will be equivalent to a square root of 45.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given the expression √(45)

⇒ √(9×5)

⇒ √(3²×5)

⇒ √(3²)√(5)

Since the square root of a square is the same number

So,

⇒ 3√5

Hence "The expression 3√5 will be equivalent to a square root of 45".

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