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?

Answers

Answer 1

Answer:

Possible value of k is √2

Step-by-step explanation:

The information given are;

The expression, 2·(√k - 1) + √8 to which may be added -6·√2 to obtain a rational number, we therefore have;

2·(√k - 1) + √8 - 6·√2 = R

Therefore, simplifying gives;

2·√k - 2 + 2·√2  - 6·√2 =  2·√k - 2 - 4·√2 = R

2·√k - 2 - 4·√2 + 2= R + 2 = R

2·√k - 2+ 2 - 4·√2 = R

2·√k - 2+ 2 - 4·√2 = R

2·√k + 0 - 4·√2 = 2·√k - 4·√2 = 2·(√k - 2·√2) = R

(√k - 2·√2) = R/2 = R

Therefore, √2 is a factor of √k such that √k - 2·√2 = R

Which gives k = x·√2, where x = a rational number

When x = 1, k = √2.

Therefore, a possible value of k is √2


Related Questions

please tell me y what 6(2y−9)=-42

Answers

Answer:

y =1

Step-by-step explanation:

6(2y−9)=-42

Divide each side by 6

6/6(2y−9)=-42/6

2y -9 = -7

Add 9 to each side

2y -9+9 = -7+9

2y =2

Divide by 2

2y/2 = 2/2

y =1

The number of gift baskets Nikki can make varies directly with the amount of time she
1
spends making the baskets. She can make 4 baskets in hour.
2
How many baskets can Nikki make in 5 hours?

Answers

Answer:

She can make 20 baskets in 5 hours

Please help me
I need to submit it now!!

Answers

Answer:

Alicia is right, 11 is the answer

Step-by-step explanation:

ItS EaSy

Answer:

it is eleven I think first add 12 plus 3 then subtract 3 u get eleven so Alicia is right ✅

please answer the problem below

Answers

Answer:

d) m<ADC=44°

Step-by-step explanation:

7x-19=9x-37

-19+37=9x-7

18=2x

x=9

m<ADC=9x-37=9(9)-37=81-37=44

Step-by-step explanation:

Your answer would be D) 44°

Simplify the following: (-83)2​

Answers

The answer is -166, your welcome

Please answer this question! it's due in a few hours if you don't mind!

Answers

Answer: 45 Seconds

Step-by-step explanation: Because if you do 3/4=0.75 or 75%. Knowing that a minute is 60 seconds long. 75% of 60 is 45 Seconds.

Hope this helped!

what comes next in the pattern

19, 20, 22, 25, 29, 30, 32, 35, 39, 40, 42, 45 ___

Answers

48 is the answer if you follow the pattern

the perimeter of a rectangular playground is 46m. if the length of the park is 7m, what is the width of the park?

Answers

Answer:

Step-by-step explanation:

2(7) + 2w = 46

14 + 2w = 46

2w = 32

w = 16 is the width of the park

Given f(x) = 2x + 15 and g(x) = 7x - 4,
find (f o g)(x).

Answers

Answer:

Step-by-step explanation:

f(g(x))

g(x) = 7x -4

f(7x - 4) = 2(7x - 4) + 15 = 14x - 8 + 15 = 14x + 7

7.2 times 1/9 I need help!

Answers

Answer:

8/10

Step-by-step explanation:

Step 1:

7 2/10 × 1/9

Step 2:

72/10 × 1/9

Answer:

8/10

Hope This Helps :)

7.2 times 1/9 is 0.8

What is fraction?

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator.

Given:

7.2 times 1/9

=7.2* 1/9

=72/10* 1/9

=8/10

=0.8

Hence, 7.2 times 1/9 is 0.8

Learn more about fraction here:

https://brainly.com/question/10354322

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is this the right andwer plz help i will mark you as brilliant​

Answers

Answer:

No the answer is 35! :)

Step-by-step explanation:

Answer:

The Answer is Thirty five

Step-by-step explanation:

So you would multiply five by seven and get Thirty Five

Kylie is in the business of manufacturing phones. She must pay a daily fixed cost to rent the building and equipment, and also pays a cost per phone produced for materials and labor. The daily fixed costs are $600 and and the total cost of producing 4 phones in a day would be $1600. Write an equation for C,C, in terms of p,p, representing total cost, in dollars, of producing pp phones in a given day.

Answers

Answer:

C= 400P+ 600

Step-by-step explanation:

In this problem, we are to model the equation for the total cost of producing a phone

Given that the fixed cost is $600

Also, the total cost of producing 4 phones in a day is $1600

hence the cost of producing 1 phone would be 1600/4= $400

the equation for producing p phones would be

C= 400P+ 600

This equation is the same as the equation of a straight line Y=mx+c

with C=y

400= m= gradient

P=x, the dependent variable

600= c the constant term.

Answer:

c=250+600

Step-by-step explanation:

I’m doing angle relationships and I have to find angle measurements and I have this problem it’s a right angle and it has a line coming from the inner corner and under the like it says it’s 68 degrees and the one on top is the measurement I’m trying to figure out help?

Answers

Right angles have a measure of 90 degrees
I’m assuming these two angles are complimentary (they add up to 90)

If one angle is 68, to find the other just subtract 68 from 90

90-68 = 22

The unknown angle is 22 degrees

A teacher spends $354 on costumes and microphones for six cast members in a play. Each cast member receives a costume that costs $38 and a microphone that costs $c What did the teacher spend on each microphone? The teacher spent $ ___on each microphone. Question 2 Justify your answer.

Answers

The teacher spend some amount on buying costumes and microphones for 6 cast members.

GiveN:

Cost of each costume = $38Cost of each microphone = $cTotal money spent = $354

Let's frame the equation. Total money is the total amount spent for 6 cast members.

Money spent on costumes = $38 × 6

Money spent on microphone = $c × 6

Equation:

[tex]6 \times 38 + 6 \times c = 354[/tex]

Taking 6 as common,

[tex]6(38 + c) = 354[/tex]

Dividing 6 from both sides,

[tex] \dfrac{6(38 + c)}{6} = \dfrac{354}{6} [/tex]

[tex]38 + c = 59[/tex]

Solving further,

[tex]38 + c - 38 = 59 - 38[/tex]

[tex]c = 21[/tex]

So, the cost of each microphone = $21

The teacher spent this much on each microphone.

#CarryOnLearning

━━━━━━━━━━━━━━━━━━━━

The teacher spent  $21 on each microphone.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

The total amount of teachers have = $354

Cost of costume for all 6 members ;

6 × 38 = $228

Cost of microphone for all 6 members ;

6 × c = 6c

Now,

Cost of microphone  + Cost of costume =  total amount

6c + 228 = 354

6c = 126

c = 21

Hence "The teacher spent  $21 on each microphone".

For more about the equation,

https://brainly.com/question/10413253

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Points A, B, and C are collinear. Point B is between A and C. BC=8x+709. AB=487+5x. AC=91. Find BC.

Answers

Answer:

           BC = 29

Step-by-step explanation:

Point B is between A and C and the points A, B, and C are collinear so:

AB + BC = AC

487 + 5x + 8x + 709 = 91

  13x + 1196 = 91

       - 1196      - 1196

   13x  =  - 1105

     ÷13     ÷13

    x = - 85

BC =  8x + 709 = 8(-85) + 709 = - 680 + 709 = 29

-1 +(-3) is units from -1 in the direction

Answers

Answer:

-4

Step-by-step explanation:

Which expression is equal to
7 + 6 x 5 – 2?
OA) 13 X 5-2
O B) 7+ 11 – 2
O C) 13 X 3
OD) 37 - 2​

Answers

Step-by-step explanation:

7+6x5-2

First we eliminate.

It isn't A. because they didn't use order of ops.

It isn't B. because they added 6 and 5 instead of multiplying.

Now, we simplify.

7+(6x5)-2

7+30-2

37-2

35

hope it helps!

Name the property or definition illustrated below
If y = 3x and 2x + 4y = 12, then 2x + 4(3x) = 12

Answers

Answer: Substitution

Step-by-step explanation:

GIVEN:

y=3x

2x+4y=12

Then, 2x+4(3x)=12

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

Substitution: replacing one variable in terms of another variable.

As we can see from the given aspects, y=3x, and the conclusion expression has no y instead of 3x. This means it represented y in terms of x, which fits the definition of substitution that replaces one variable.

Hope this helps!! :)

A parallelogram is transformed according to the rule (x, y) → (x, y). Which is another way to state the transformation?

R0, 90°
R0, 180°
R0, 270°
R0, 360°

Answers

Answer:

d) 360

Step-by-step explanation:

Answer: D. R0, 360°

Step-by-step explanation: RIGHT ON EDGE 2023

7/20 write the decimal from of each rational number and determine

Answers

Answer:

0.35

Step-by-step explanation:

Step 1:

7/20 = 35/100

Step 2:

35 ÷ 100

Answer:

0.35

Hope This Helps :)

JK = 7x + 9
JL = 114, and
KL = 9x + 9,
Find KL.

Answers

Answer:

KL= 63

Step-by-step explanation:

JK=7x+9 , JL=114 , KL=9x+9 ( if the points are on the same line and point J at the end point and K in the middle)

*J_______________________K___________________________L

JL=JK+KL

114=7x+9+9x+9

114-18=16 x

16x=98

x=98/16=6

KL= 9x+9

KL=9(6)+9

KL= 63

What is 6x - 2 if x = 5

Answers

Replace x with 5 so
6 (5) -2
30-2
28

Answer:

28

Step-by-step explanation:

6x = 6 x 5 because x = 5.

6 x 5 = 30

30 - 2 = 28

3(5x-2)=15x-6 is their a solution or no

Answers

Answer: 0 = 0

Step-by-step explanation: there is no solution  

Which model represents the sum given above

Answers

Answer:

Option a. z

Explanation:

Because in z it represents 5/8 + 3/8 + 1/8.

Look at the color in z .

Solve for a.
ab + c = d.

Answers

Answer:

a = [tex]\frac{d - c}{b}[/tex]

Step-by-step explanation:

ab + c = d

     - c        - c

ab = d - c

divide both sides by b

a = [tex]\frac{d - c}{b}[/tex]

I hope this helps!!

Answer:

a=d-c/b

Step-by-step explanation:

ab+c=d

ab=d-c

a=d-c/b

(a) A color printer prints 16 pages in 9 minutes.
How many minutes does it take per page?
| minutes per page

Answers

If rounded it will be 2 but if not that It would be 1.777777777777778 so most likely it would be 2 if rounded.

PLEASE HELP! URGENT!

Answers

The answer is John spent 92 dollars

Simplify the expression (5)2.
O 25
O-10
0-25
O 10

Answers

The answer is 25
I hope I could help!

which grows faster linear or exponential

Answers

exponential graphs grow faster

vince has 1/2 ton of gravel to spread equally in 8 square yards for his driveway. How many tons of gravel will be spread in each square yard?

Answers

Answer:

It would be 125 spread in each square yard.

Step-by-step explanation:

The answer is 125 I hope this helps:)
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