Simplify the given expression below: (4+2i)-(1–7i)

Answer:

The lines are the same, they are just in a different position.

Step-by-step explanation:

A reflection is a type of rigid transformation. Rigid transformations do not change the size nor the length of the pre-image.

In other words, the pre-image and the image in a rigid transformation are congruent.

Hope this helps.  

Based on the fact that the right line is a reflection across the y-axis, the lines are the same, they are just in a different position.

This refers to the rigid transformation type that is used to represent an image and does not change its size or length of it.

With this understanding, we can see that the pre-image and the image in a rigid transformation are congruent which makes the lines to be the same, even if they are in a different position.

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Answer:

x = 5

Step-by-step explanation:

2x = 15 - 1x

add 1x to both sides

3x = 15

divide both sides by 3

x = 5

Answer:

X=5

Step-by-step explanation:

Add 1x on both sides so you can get like terms on one side now you have 3x=15 You will now divide by 3 on both sides to get x by itself so you end up with X=5

Answer:

RS = - 7

ST = - 13.5 = - 13½

RT = - 20.5 = - 20½

Step-by-step explanation:

From the question given above, the following were obtained:

RS = 6y + 2

ST = 15y + 9

RT = 5y - 13

To obtain RS, ST and RT, we must first obtain the value of y. This can be obtained as follow:

From diagram above, it is evident that:

RT = RS + ST

RS = 6y + 2

ST = 15y + 9

RT = 5y - 13

5y - 13 = 6y + 2 + 15y + 9

5y - 13 = 6y + 15y + 2 + 9

5y - 13 = 21y + 11

Collect like terms

5y - 12y = 11 + 13

- 16y = 24

Divide both side by - 16

y = 24/ - 16

y = - 1.5

Finally, we shall determine RS, ST and RT as follow:

RS = 6y + 2

y = - 1.5

RS = 6(-1.5) + 2

RS = - 9 + 2

RS = - 7

ST = 15y + 9

y = - 1.5

ST = 15(-1.5) + 9

ST = - 22.5 + 9

ST = - 13.5 = - 13½

RT = 5y - 13

y = - 1.5

RT = 5(-1.5) - 13

RT = - 7.5 - 13

RT = - 20.5 = - 20½

Step-by-step explanation:

i think this would be the right answer...

Answer:

53

Step-by-step explanation:

10= 1/5x Given

10 * 5 = 1/5x * 5 divide 5 to both sides (remember you need to do the reciprocal of 1/5, that's why you multiply 5 to both sides)

50=x

If x is 50, subsitute 50 in the equation x+3=?

(50) + 3 = ?

53 = ?

Answer:

A. x + 46 = 2,749

Step-by-step explanation:

The total MUST be 2,749 as it is the amount of books added and the amount of books that were present from before; therefore, the books in total is 2,749.

x remains there, for the library had already had (x) amount of books from before.

46 is added to x because 46 is the amount of books acquired, in addition to (x) amount of books.

Therefore, the answer is x + 46 = 2,749

Answer:

-6x+4

Step-by-step explanation:

Answer:

-6x + 2.2

Step-by-step explanation:

Collect like terms: −6x+(5.2+2−3−2)

then simplfiy to get the ansanswer  

Answer:

4-8

Step-by-step explanation:

Answer:

1:3

Step-by-step explanation:

I changed 4/12 to a fraction then simplified it

4/12=1/3

one gold fish ate their food for every 3 they fed

Answer:

11 miles

Step-by-step explanation:

find how many miles per minute

66 / 60 = 1.1

find how many miles in 10 minutes

1.1 • 10 = 11

11 miles

Answer:

11 miles

Step-by-step explanation:

66 miles per hour

Convert minutes to hours

10 minutes * 1 hour/ 60 minutes = 1/6 hour

distance = rate * time

              = 66 miles per hour * 1/6 hour

               = 11 miles

Answer:

3x - 6x - 7 = 29 Given

-----------------------------------

3x - 6x -7  = 29

           + 7   + 7     Addition property of equality

3x - 6x = 36

--------------------------------------------------------------

3x - 6x = 36

(3x + -6x) = 36         Combine like terms

-3x = 36    

--------------------------------------------------------------

-3x = 36

(-3x = 36)/ -3         Division property of equality

x = -12

Step-by-step explanation:

I tried to seperate the steps so you can go through them. First you had to add on both sides to take out the like terms, then combine the 3x and the  -6x to make -3x (easier to look at and divide), and finally divide to find X. the end product using X cannot be a negative because its a filler space for a real number.

Hope this helps :)

Answer:

answer in picture

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

First subtract the endpoints and then divide by 2.

The incorrect statement about the midpoint of a segment in the complex plane is: First subtract the endpoints and then divide by 2.

"It is a number of the type a + ib, where a, b are real numbers and [tex]i=\sqrt{-1}[/tex]"

"The midpoint of two complex numbers a + bi and s + ti is [tex]M=\frac{a+s}{2}+i(\frac{b+t}{2} )[/tex]"

"It is formed by the complex numbers, with real axis (x-axis in coordinate plane) and imaginary axis(y-axis in coordinate plane)"

For given question,

We know that the midpoint of a segment in the complex plane passing through two complex numbers a + bi and s + ti is given by [tex]M=\frac{a+s}{2}+i(\frac{b+t}{2} )[/tex].

This means, the midpoint is the average of the endpoints.

or to find the midpoint first add the endpoints and then multiply by [tex]\frac{1}{2}[/tex]

We know that the complex conjugate of a complex number x + iy is        x - iy.

if we find the midpoint of a segment passing through these points, then it would be,

[tex]M=\frac{x+x}{2} + i (\frac{y-y}{2})\\\\M=x+0i\\M=x+0\\M=x[/tex]

This means the midpoint would lie on the X-axis.

Therefore, the incorrect statement about the midpoint of a segment in the complex plane is: First subtract the endpoints and then divide by 2.

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Answers:

9/2

5/1

16/5

8/1

Answer:

B. ∃x (x2<1)

Step-by-step explanation:

When we take X = 0 and Placing it in each option as follow

A.

∃x (3x=1)

∃x (3(0)=1)

∃x (0=1)

Which is not true

B.

∃x (x2<1)

∃x ((0)2<1)

∃x (0<1)

Which is true

C.

∀x (x2=1)

∀x ((0)2=1)

∀x (0=1)

Which is not true

D.

∃x (x2<0)

∃x ((0)2<0)

∃x (0<0)

Which is not true.

Answer:

40,000+300×

Step-by-step explanation:

300× × + the 40,000

Answer:

see below

Step-by-step explanation:

x = -6  ⇒

Answer:

x =  - 6

Step-by-step explanation:

x = -6x⁻² x⁻¹ x⁰ x¹ x²

x² = 0,  x = 0

x¹  = 0, x = 0

the following points are undefined

x = 0

combine undefined points with solutions:

x = - 6

Answer:

6,000 * .07 = $420 per year

Therefore the remaining 10,000 must earn 1,080 per year

Total = Principal * (1+rate)^years OR

Total = 10,000 * 1 + rate

1,080 = 10,000*rate

1,080 / 10,000 = rate

rate = .108 OR rate = 10.8 % per year

Step-by-step explanation:

Answer:

7.25x²-6x-4

Step-by-step explanation:

29x²-24x-16

÷4=

7.25x²-6x-4

Answer:

I think is C

3.5x2

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

edu2021

Answer:

  x = 6

Step-by-step explanation:

The properties of equality let you add the same thing to both sides of the equation without changing the value of the variable. The same is true for dividing both sides of the equation by the same thing. These properties can be used to find the value of the variable.

  2x + 3 = 15 . . . . . . given

  2x +3 -3 = 15 -3 . . . . add the opposite of 3 to both sides

  2x = 12 . . . . . . . . simplify

  2x/2 = 12/2 . . . . . . . divide both sides by 2

  x = 6 . . . . . . . . . simplify

This value of x can be checked in the original equation to see if it makes the equation true:

  2×6 + 3 = 15 . . . . . . substitute 6 for x

  12 +3 = 15 . . . . . . . . a TRUE arithmetic fact

The value of x is 6, because that value makes the equation a true statement.

Answer:

46

Step-by-step explanation:

11+14+21=46

Answer:

21, 24

Step-by-step explanation:

1. Given:

2. Solution:

Answer: 9

Step-by-step explanation:

Answer: 17:20

Step-by-step explanation:

7 is 3 away from 10, 17 is 3 away from 20, hope this helps

Answer:

2962

Step-by-step explanation:

 2 8 8 8

+       7 4

----------------

  2 9 6 2

2962

2888 +

    74

---------

2962

8 + 4 = 12

8 + 1 + 7 = 16

8 + 1 = 9

Answer:

Each roll is $1.43.

Step-by-step explanation:

20.02 ÷ 14 = 1.43.

1.43 × 14 = 20.02.

Answer:

D. 34 ft

Step-by-step explanation:

25+9=34

Jim is 34ft below Jenifer

Answer:

d. H0: μ <= 21.80 Ha: μ > 21.80

Step-by-step explanation:

We set the null hypothesis as what is already given . We are already informed that the average wage is equal to  μ <= 21.80 against the claim that is required. It is required to test whether the average wage of the computer programmers is greater than μ > 21.80

So option d is the best answer.

Hypotheses testing is done  using an observation and a claim. The observation is set as a null hypothesis and claim is set as an alternative hypothesis. The null and alternative hypotheses must be chosen wisely to get the correct results.

The critical region is dependent on the claim set.

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

slope:-1/2

y-intercept:(0, 0)

Answer:

slope: [tex]-\frac{1}{2}[/tex]

y intercept: [tex]0,0[/tex]

Step-by-step explanation:

Here is a graph.

Hope this Helps!

Answer:

-1/2 + 2.

Step-by-step explanation: