[tex] \sqrt{2k ^{2} + 17 } - x = 0[/tex]If k>0 and x=7 in the equation, what is the value of k?

Mathematics College

[tex] \sqrt{2k ^{2} + 17 } - x = 0[/tex]

If k>0 and x=7 in the equation, what is the value of k?

Answers

Answer 1

Answer:

[tex]k=4[/tex]

Step-by-step explanation:

So we have the equation:

[tex]\sqrt{2k^2+17}-x=0[/tex]

Where:

[tex]k>0\text{ and } x=7[/tex]

And we want to find k.

Firstly, let's substitute 7 for x. So:

[tex]\sqrt{2k^2+17}-7=0[/tex]

Now, we can solve for k. Add 7 to both sides:

[tex]\sqrt{2k^2+17}=7[/tex]

Square both sides:

[tex]2k^2+17=49[/tex]

Subtract 17 from both sides:

[tex]2k^2=32[/tex]

Divide both sides by 2:

[tex]k^2=16[/tex]

Take the square root of both sides:

[tex]k=\pm\sqrt{16}[/tex]

Evaluate:

[tex]k=\pm 4[/tex]

Remember that we are told k>0. In other words, k must be positive. So, we can ignore the negative answer, giving us:

[tex]k=4[/tex]

So, the value of k is 4.

And we're done!

Related Questions

Describe the shape of the distribution shown on the dot plot.

The dot plot displays the golf scores from a golf tournament.

132 , 134, 136, 138, 148
(Golf Score Strokes)

A. Uniform
B. Bimodal
C. Left Skewed
D. Right Skewed
E. Symmetrical
F. Bell shaped

Answers

Answer:

Then it's probably D. Right-Skewed

PLEASE HELP ME SOLVE THIS ASAP WITH WORK!!

Answers

Answer:

Step-by-step explanation:

If you multiply a number from the big polygon by 2/3s, you will get the corresponding number on the small polygon. For example, 6 × 2/3 = 4To find x, find the corresponding number on the big polygon and multiply it by 2/3s. The number on the big polygon is 9. 9 × 2/3 = 6

I hope this helps!

For Mindy's party, she bought 26.4 pounds of meat to make tacos. The night before, she split the meat evenly into 4 containers so it would fit into the refrigerator. How many pounds of meat are in each container?

Answers

Answer:

Step-by-step explanation:6x4.3

what the simplify form for –3(x + 3) + 4x

Answers

Answer:

x - 9

Step-by-step explanation:

First, distribute:

-3x - 9 + 4x

Then, simplify (add up x):

x - 9

And we're done ^^

Answer:

-3x -9 +4x

-3x + 4x - 9

x - 9

The answer is x - 9

you multiply -3 by x - 3

And there you go .

At the end of the day a bakery has9/10 of a pie left over. The employees decide to split the leftovers equally in each takes home 1/10 of the pie how many employees were at the bakery

Answers

Answer:

9 people

Step-by-step explanation:

9 pieces of the 10 pieces of pie were left. If all 9 of those are gone and each took 1, there were 9 employees.

what is the acceleration of the object in the graph?

-0.8 m/s^2
1.25 m/s^2
-1.25 m/s^2
-0.4 m/s^2

Answers

Answer:

-0.8 m/s^2

Step-by-step explanation:

Acceleration is the slope of the velocity curve. Here the velocity decreases from 12 m/s to zero in 15 seconds. So, the slope is ...

(-12 m/s)/(15 s) = -0.8 m/s^2

Value of the expression when n=3
-2n(5+n-8-3n)

Answers

Answer:

Step-by-step explanation:

Substitute n into the equation:

-2(3)[5+3-8-3(3)]

-6[-9]

+54

A man’s age today is three years less than four times the age of his oldest daughter,Let a represent the daughters age.Write an equation to match the scenario.

Answers

The mans age(x)=(4•a)-3

the value of 7y–2 is 10 more than the value of 2y

Answers

Answer:

y=12/5 (in decimal notation y=2.4)

Step-by-step explanation:

the value of 7y-2 = 10 more than 2y

7y-2 = 10+2y

7y-2y = 10+2

5y = 12

y = 12/5

y = 2.4

What is 24% of 162.5?

Answers

Answer:

I believe 39 is your answer

The ages of Edna, Ellie, and Elsa are consecutive integers. The sum of their ages is 114.
What are their ages?

Answers

x = Edna's age

x + 1 = Ellie's age

x + 2 = Elsa's age

the sum of their ages = 114

Let's set all of their ages equal to 114

x + x + 1 + x + 2 = 114

Combine like terms

3x + 3 = 114

Subtract 3 from both sides

3x = 111

Divide both sides by 3

x = 37

Edna's age = x = 37 years old

Ellie's age = x + 1 = 37 + 1 = 38 years old

Elsa's age = x + 2 = 37 + 2 = 39 years old

(-1,-2) (2,7) in slope intercept form

Answers

I hope it will help you :)

(57 + 4) x 4 - 16 I need this for my math test

Answers

Answer:

228

Step-by-step explanation:

(57 + 4) * 4 - 16

61 * 4 - 16( To get 61 solve the ones in brackets first)

244 - 16( Solve the multiplication to get 244 _ 61 * 4=244)

228 ( Then solve the subtraction - 244-16= 228)

SO THE ANSWER IS 228.

YOU JUST NEED TO FOLLOW BODMAS.

HOPE IT HELPED

!!!!25 POINTS HELP NOW PLEASE!!!! Emily and Hunter tracked the average temperature in their city for the past 8 days. They recorded their temperature findings in this list. 66°F, 57°F, 61°F, 65°F, 54°F, 62°F, 59°F, 56°F What is the mean absolute deviation of this data set? Enter your answer in the box.

Answers

I Believe the mean would would 60 degrees Fahrenheit

-2x+3-(5-6x) simplify please

Answers

Answer:

4x-2

Step-by-step explanation:

First, distribute the minus sign.

-2x+3-(5-6x)

-2x+3+ -1(5)+ -1(-6x)

-2x+3+ (-5) + (6x)

-2x+3-5+6x

Next, combine like terms.

-2x+3-5+6x

(-2x+6x)+(3-5)

4x+(-2)

4x-2

Answer:

4x - 2

Step-by-step explanation:

-2x + 3 - -5 + 6x ( First distribute the parenthess and apply minus-plus rules making it -2x+3-5+6x )

-2x + 6x + 3 - 5 ( Group the equation like this putting like terms together)

4x + 3-5 ( From there add -2x and 6x- like terms to get 4x)

4x -2( After that subtract 3-5 ad the answer is -2)

THE FINAL ANSWER BECOMES 4x - 2

HOPE IT HELPED

Evaluate the expression if x= -2 and y= - 4.
3xy + 4

Answers

Answer:

Step-by-step explanation:

3(-2)(-4)+4=?

(-6)(-4)+4=?

24+4=-28

3(-2)(-4)+4 =
24+4 = 28

PLZ HELP IVE BEEN STUCK ON THIS QUESTION

Answers

Answer:

A= 16

B=?

Step-by-step explanation: srry about the second one im also confused but i tried my best.

12a - 6 + 7a - 2a ; a = 4
Need help please

Answers

Answer:

Step-by-step explanation:

Plug in the value of a in the equation:

12(4) - 6 + 7(4) - 2(4)

Solve 12(4) - 6:

12(4) - 6 = 48 - 6 = 42

Solve 7(4) - 2(4):

7(4) - 2(4) = 28 - 8 = 20

Combine both answers (42+20):

42+20 = 62

Complete answer:

12(4) - 6 + 7(4) - 2(4) = 62

100 POINTS!! ASAP - Plss SHOW WORK

Answers

Answer:

h ≈ 174.3 m

Step-by-step explanation:

Step 1: Define variables

∅ = 71°

b = 60 meters (horizontal leg of the triangle)

We are solving for height h (vertical leg of the triangle)

Step 2: Use Trig

tan∅ = opposite over adjacent

tan71° = h/60

Step 3: Evaluate

60tan71° = h

h = 174.253 m

h ≈ 174.3 m

Answer:

the height of the building is 174.3 m

Step-by-step explanation:

see attached image

height of building (h) = x tan Ф

where x = 60m

Ф = 71°

plugin values into the formula

h = 60 tan (71)

h = 174.3 m

therefore

the height of the building is 174.3 m

i’m stuck on this question

Answers

Answer: Dividing the number by 1000

When you move the decimal, add a 0.
The decimal is moved 3 times, there are 3 zeros. When you move left, the number is getting smaller so it is division.

Hope this helps ʕ•ᴥ•ʔ

Answer:

See below

Step-by-step explanation:

So you are moving the decimal to the right, right?

This action would make the number bigger.

For this explanation I will use the example 7.2

So lets move the decimal 3 to the right.

You get 7200.

Now try dividing 7200 by 100 = 72

This did not get us the original # 7.2

Now lets divide 7200 by 1000 = 7.2

Now that we got the original #, switch the operation and multiply 7.2 by 1000

7.2 x 1000 = 7200

Answer = multiplying the number by 1,000

A grid that represents 1 whole , what would you shade for 0.4 and 0.04? 100 squares in rows of 10.

Answers

For .4 shade 4 squares, for .04 shade a bit less than half a square

tristan bought an orange that weighs 1 8th of a pound

Answers

Answer

Tristan bought an orange that weighs 1 8th of a pound. 1. See answer. Add answer. Log in to add comment.

Where is √95 located on a number line?

Answers

Answer:

[See Below]

Step-by-step explanation:

✦ [tex]\sqrt{95} =9.74679434[/tex]

~Hope this helps Mate. If you need anything feel free to message me.

-I have included a number line as well...

y+z+ 2; use y=-6, and z = 5

Answers

Answer:

Step-by-step explanation:

y + z + 2

first you have to replace the variables with the numbers

This is your equation now.

-6 + 5 + 2

Now you just have to solve it.

-6 + 5 = -1 + 2 = 1

7 - 6 = 1

Solve for x: 3 < x + 3 < 6

Answers

Steps to solve:

3 < x + 3 < 6

~Subtract 3 to everything

0 < x < 3

Best of Luck!

Select all the statements that are true.
π is irrational because π is a repeating decimal.
7√ is irrational because 7 is not a perfect square.
7.1234… is irrational because it is a nonterminating, nonrepeating decimal.
7√ is rational because 7 is not a perfect square.
π is irrational because π is not a repeating decimal.

Answers

so, it seems like the second one and the very last one is correct. pi is always rational and it never stops and never repeats. 7 is irrational because 2 of the same numbers cannot go in it. what I’m meaning is that 2,3,4,5,6 cannot go into 7.

The true statements are,

π is irrational because π is a repeating decimal.

7√ is irrational because 7 is not a perfect square.

7.1234… is irrational because it is a nonterminating, nonrepeating decimal.

7√ is rational because 7 is not a perfect square.

What are irrational numbers?

Irrational number are real numbers that cannot be expressed as a ratio of two integers.

When an irrational number is expressed in decimal form, it goes on forever without repeating.square roots like √2 ,√3, √5.. are irrational number.

Now we have,

→π is irrational because π is a repeating decimal.

Since, the value of π is called as infinite decimal-after the decimal point the digits go on forever and repeating.

Hence π is irrational.

⇒This statement is true.

→√7 is irrational because 7 is not a perfect square.

Since, 7 is a prime number this means 7 is without its pair and is not in the power of 2.

Therefore,√7 is irrational

⇒This statement is true.

→7.1234… is irrational because it is a non terminating, non repeating decimal.

Since,the value of decimal in 7.1234… goes on forever and repeating.

Therefore,7.1234… is irrational.

⇒This statement is true.

→√7 is rational because 7 is not a perfect square.

Since, 7 is a prime number this means 7 is without its pair and is not in the power of 2.

Therefore,√7 is irrational

⇒This statement is true.

→π is irrational because π is not a repeating decimal.

π is irrational because the value of π is called as infinite decimal-after the decimal point the digits go on forever and repeating.

⇒This statement is false.

More about irrational numbers :

https://brainly.com/question/11418160

#SPJ2

what place value are the 8s in 888,000?

Answers

Answer:

1,000

10,000

100,000

Step-by-step explanation:

Rewrite the following improper fraction as a decimal 15/2

Answers

Answer:

7.5

Step-by-step explanation:

Answer:

7.5

Step-by-step explanation:

all you need to do is divide 15 by 2

Find the surface area of a square pyramid if the area of the base is 324 cm^2 and the height is 40 cm.

Answers

Answer:

Step-by-step explanation:

Yep!

what is a dependent variable

Answers

Answer:

a variable (often denoted by y ) whose value depends on that of another.

Step-by-step explanation:google

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[tex] \sqrt{2k ^{2} + 17 } - x = 0[/tex]If k>0 and x=7 in the equation, what is the value of k?​

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[tex] \sqrt{2k ^{2} + 17 } - x = 0[/tex]

If k>0 and x=7 in the equation, what is the value of k?