An expression is given: 2 open parentheses square root of k minus 1 close parenthesis plus square root of 8. If on adding negative 6 square root of 2to the expression results in a rational number, what is the value of k?

[tex]\text{Hello! :D}[/tex]

[tex]\boxed{\text{width = 13ft, length = 29ft}}[/tex]

[tex]\text{ Let the width = "w":}\\\\\text{Write an expression to represent the length in terms of "w":}\\\\l = 2w + 3\\\\\text{Formula of a rectangle: } \\\\P = 2l + 2w\\\\\text{Therefore:}\\\\84 = 2(2w + 3) + 2(w)\\\\84 = 4w + 6 + 2w\\\\84 = 6w + 6\\\\\text{Subtract 6 from both sides:}\\\\78 = 6w\\\\\text{Divide both sides by 6:}\\\\78/6 = 6w/6\\\\w = 13ft\\\\\text{Plug this value of "w" into the equations for the length:}\\\\l = 2(13) + 3\\\\l = 26 + 3\\\\l = 29ft[/tex]

Answer:

X= 62 Y=620

Step-by-step explanation:

Y is right because its ten times more than x and x is right because you take the three side and you multiply each one by 2 then you add then all together and you get 62.

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Answer: First choice. ECFBDA

Explanation:

The answer choices list either step E or step F first.

It turns out that step E must come first because we place the compass on the original angle ABC to help copy this angle.

The arc formed on angle ABC intersects the two rays as described in step E. Those two intersection points are labeled point D and point E, which is what step C describes. So C must be the next step.

Therefore the correct sequence is ECFBDA.

ECFBDA is the correct order of steps for bisecting angle ABC.

"Angle bisector is defined as the ray which divides an angle into two equal measures."

According to the question,

Rearrange the given statements in correct order of steps for angle bisector.

E. Place the compass on point B, and swing an arc that intersects rays BA and BC.

C. Place point D on the intersection of the arc on ray BA and point E on                                                

    the intersection of the arc with ray BC.

F. Place the compass on point D, and draw an arc inside the angle.

B. Keeping the compass the same distance , place the compass on point

    E. draw an arc inside the angle.

D.  Place point F on the intersection of the arcs created from points D

     and E.

A. Draw a ray from point B through point F.

Hence, ECFBDA is the correct order of steps for bisecting angle ABC.

Learn more about angle bisector here

https://brainly.com/question/12896755

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Answer:multiple property

Step-by-step explanation:

Answer: Associative property of multiplication: Changing the grouping of factors does not change the product. For example, ( 2 × 3 ) × 4 = 2 × ( 3 × 4 ) (2 \times 3) \times 4.

Step-by-step explanation: Changing the grouping of factors does not change the product. For example, ( 2 × 3 ) × 4 = 2 × ( 3 × 4 ) (2 \times 3) \times 4.

I really hope it help!!!!!!!!!

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.

Line GH bisects angle FGI, that means angle FGH = angle HGI

the value of x and angle FGI

angle FGH = angle HGI

6x - 11 = 4x + 7

or, 6x - 4x = 7 + 11

or, 2x = 18

or, x = 18/2 = 9

angle FGI = angle FGH + angle HGI

or, angle FGI = 6x - 11 + 4x + 7

or, angle FGI = 10x - 4

By putting the value of x, we get

angle FGI = 10(9) - 4

or, angle FGI = 90 - 4 = 86°

The value of x is 9.

Angle FGI = 86°

Answer:

[tex]\sqrt{2}/2[/tex]

Step-by-step explanation:

Making a unit circle will be very helpful if you don't already have one. You will use it for years to come.

I think it is adjacent because it isn't linear or vertical at all.

The measure of DE = 90 degrees because its corresponding central angle = 90 degrees.

Step-by-step explanation:

sorry i am busy i will answer it tomorrow or free time

Answer:

x = 8, -4

Step-by-step explanation:

2x-4-6=6; therefore, x = 8

2x-4=-12; therefore, x = -4

Answer:

19

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 3 and d = 4 , thus

a₅ = 3 + (4 × 4) = 3 + 16 = 19

It would be the last bubble, 4/6

hope I helped ya

Answer:

let cp be x

mp= x+ (20% 0f x)= 1.2x

sp = mp -d%of mp= 1.2- 15% *1.2 =1.02x

profit = 40

sp-cp =40

1.02x-x=40

x=2000

cp =2000

mp= 1.2*2000=2400

Step-by-step explanation:

400-220=180

180/3=60

The answer is 60.

Answer:

3+2x

Step-by-step explanation:

Distribute the equation out.

1/4(12+8x)

(1/4*12)+(1/4*8x)

Multiple those out to get a new equation

3+2x

You cannot add those together because of the variable. Theres no way of knowing what x equals so this is as far as you can go therefor making the answer 3+2x

Answer:

Are of parallelogram = base * height

672 = b*h

or, (9x-12)* 16 =672

0r 9x-12 = 42

9x = 54

x=6

height =9x-12 = 54 -12 = 42

Step-by-step explanation:

Answer:

5/8

Step-by-step explanation:

Hey there!☺

[tex]Answer:\boxed{-z-3}[/tex]

[tex]Explanation:[/tex]

[tex]-3-z[/tex]

-3 + -z Add together

-z - 3

Hope this helps!

Answer:

I am stuck on that question tooo

Step-by-step explanation:

Step-by-step explanation:

First, let's write an equation.

h= numbers of hours, the instructor will charge $8 per hour.

s= amount of $

"12" is the initial fee.

From this information the equation will look like:

s=8h

However, on our graph, we will have to start on 12 since this was the initial fee. (so on the y, put a dot on 12.)

I think that (0, 12) is the y-intercept but I'm not entirely sure. In reality, your graph can't have any negative h(x) or y(s) values so the graph would be shaped like an "L".

Answer:

x = sqrt(11 - y) - 2 or x = -sqrt(11 - y) - 2

Step-by-step explanation:

Solve for x:

y = -x^2 - 4 x + 7

y = -x^2 - 4 x + 7 is equivalent to -x^2 - 4 x + 7 = y:

-x^2 - 4 x + 7 = y

Multiply both sides by -1:

x^2 + 4 x - 7 = -y

Add 7 to both sides:

x^2 + 4 x = 7 - y

Add 4 to both sides:

x^2 + 4 x + 4 = 11 - y

Write the left hand side as a square:

(x + 2)^2 = 11 - y

Take the square root of both sides:

x + 2 = sqrt(11 - y) or x + 2 = -sqrt(11 - y)

Subtract 2 from both sides:

x = sqrt(11 - y) - 2 or x + 2 = -sqrt(11 - y)

Subtract 2 from both sides:

Answer: x = sqrt(11 - y) - 2 or x = -sqrt(11 - y) - 2

Answer: because 4 would be greater than 3.

Step-by-step explanation:

Answer:

The correct option is;

1

Step-by-step explanation:

A line in geometry is an array of points that lay on the path of a ray and extends along the ray path in both directions infinitely, while a point in geometry marks a location

Therefore, given that the points A and B are on the same line, and are therefore on the same ray that gives the direction of the line, the number of distinct lines that can contain the both A and B, given that the original line extends to infinity in both direction is 1.

The solution set is r = (+4, -4) .