Express y in terms of x

Express Y In Terms Of X

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

(a)

Given y is inversely proportional to x² then the equation relating them is

y = [tex]\frac{k\\}{x^2}[/tex] ← k is the constant of variation

To find k use any ordered pair from the table.

Using (1, 4 ) , then

4 = [tex]\frac{k}{1^2}[/tex] = [tex]\frac{k}{1}[/tex] ( multiply both sides by 1

4 = k

y = [tex]\frac{4}{x^2}[/tex] ← equation of variation

(b)

When y = 25 , then

25 = [tex]\frac{4}{x^2}[/tex] ( multiply both sides by x² )

25x² = 4 ( divide both sides by 25 )

x² = [tex]\frac{4}{25}[/tex] ( take the square root of both sides )

x = ± [tex]\sqrt{\frac{4}{25} }[/tex] = ± [tex]\frac{2}{5}[/tex]

Since x > 0 then x = [tex]\frac{2}{5}[/tex]


Related Questions

David measures a side of a piece of wood. The length is 8 feet and the width is one-half if the length. What is the area, in square feet, of the piece of wood?

A=lw
A: 4
B: 16
C:32
D:108​

Answers

Answer: The area, in square feet, of the piece of wood is [tex]32 ft^{2}[/tex].

Step-by-step explanation:

Give: Length = 8 feet

Width = [tex]\frac{1}{2} \times 8[/tex] = 4 feet

As piece of wood is similar to that of a rectangle. Hence, formula to calculate area is as follows.

[tex]Area = length \times width[/tex]

Substitute the values into above formula as follows.

[tex]Area = length \times width\\= 8 feet \times 4 feet\\= 32 ft^{2}[/tex]

Thus, we can conclude that the area, in square feet, of the piece of wood is [tex]32 ft^{2}[/tex].

Find the volume of the pyramid shown.

Answers

Answer:

48

Step-by-step explanation:

I did the work, the answer is 48

The answer would be 40, I just guest and got it right Answer: 40 cubic centimeters

Step-by-step explanation:

3-4: draw a picture to find the quotient.
5-6: use multiplication to find the quotient.

Answers

Hmm It’s 3-4!!!!!!!!

Need help with this ASAP DUE SOON PLEASE AND SHOW WORK

Answers

Answer: 20in
2x10=20
Length x width

Answer:

The answer is gonna be 20

Step-by-step explanation:

Since its 2 in and 10 in. u have to do 2*10=20

Please I need help with this!!!!!!!

Answers

Answer:

Step-by-step explanation:

1). Step 4:

   [tex]x=5^{\frac{4}{3}}=(5^4)^{\frac{1}{3}}[/tex]

   [tex]x=\sqrt[3]{5^4}[/tex] [Since, [tex]a^{\frac{1}{3}}=\sqrt[3]{a}[/tex]]

   [tex]x=\sqrt[3]{5\times 5\times 5\times 5}[/tex]

   Step 5:

   [tex]x=\sqrt[3]{(5)^3\times 5}[/tex]

   [tex]x=\sqrt[3]{5^3}\times \sqrt[3]{5}[/tex]

2). He simplified the expression by removing exponents from the given expression.

3). Let the radical equation is,

   [tex](3x-1)^{\frac{1}{5}}=2[/tex]

   Step 1:

   [tex](3x-1)^{\frac{1}{5}\times \frac{5}{1} }=2^{\frac{5}{1}}[/tex]

   Step 2:

   [tex](3x-1)=2^5[/tex]

   Step 3:

   [tex]3x=32+1[/tex]

   Step 4:

   [tex]x=11[/tex]

4). By substituting [tex]x=11[/tex] in the original equation.

   [tex](3\times 11-1)^{\frac{1}{5}}=(32)^\frac{1}{5}[/tex]

                         [tex]=(2^5)^\frac{1}{5}[/tex]

                         [tex]=2[/tex]

There is no extraneous solution.

1). Step 4:

   x=5^{\frac{4}{3}}=(5^4)^{\frac{1}{3}}x=534=(54)31

   x=\sqrt[3]{5^4}x=354 [Since, a^{\frac{1}{3}}=\sqrt[3]{a}a31=3a

   x=\sqrt[3]{5\times 5\times 5\times 5}x=35×5×5×5

   Step 5:

   x=\sqrt[3]{(5)^3\times 5}x=3(5)3×5

   x=\sqrt[3]{5^3}\times \sqrt[3]{5}x=353×35

2). He simplified the expression by removing exponents from the given expression.

3). Let the radical equation is,

   (3x-1)^{\frac{1}{5}}=2(3x−1)51=2

   Step 1:

   (3x-1)^{\frac{1}{5}\times \frac{5}{1} }=2^{\frac{5}{1}}(3x−1)51×15=215

   Step 2:

   (3x-1)=2^5(3x−1)=25

   Step 3:

   3x=32+13x=32+1

   Step 4:

   x=11x=11

4). By substituting x=11x=11 in the original equation.

   (3\times 11-1)^{\frac{1}{5}}=(32)^\frac{1}{5}(3×11−1)51=(32)51

                         =(2^5)^\frac{1}{5}=(25)51

                         =2=2

There is no extraneous solution.

50 Pts!!!!!!! What is the straight line distance between the points?

Answers

The straight line distance is the square root of 74 ( which is APROXÍMATELY 8.602)

write one problem statement for each subject area that stactistics can solve

Answers

Answer:

look in explanation

Step-by-step explanation:

what is the probability of the ball hitting u in dodge ball in pe

what is the ratio of your computer to everyone else's in comp science

how much of your essay did you finish (in a fraction)

how many people are there in psychology class for every notebook?

What is m+n?


Please solve! I really need help!!

Answers

Answer:

I think 180

Step-by-step explanation:

I think 180 because it looks like M+n are supplimetary angles.

Sorry if this is wrong.

I think 180 because candice said its right

PLEASE I NEED THE ANSWER DON'T IGNORE MY QUESTION!!! Solve for X for the following

Answers

Answer:

1. 51

2. 8

3. √2 or 1.41

Step-by-step explanation:

using pythagorean theorem

Answer:

1) x = 51

2) x = 8

3) x = [tex]\sqrt{2}[/tex] or approximately 1.4142

Step-by-step explanation:

These are simple Pythagorean theorem questions. Remember, the Pythagorean theorem states that [tex]a^2+b^2=c^2[/tex], where a and b represent the legs of the triangles, and c represents the hypotenuse, the side opposite to the 90 degree angle in the triangle. Now simply use the values of a, b, or c, depending on what is given, to solve for the missing side x.

In question 1, you have two legs with sides 45 and 24. Therefore use the Pythagorean theorem where a and b equal 45 and 24 respectively.

[tex]45^2+24^2 = x^22025+576 = x^22601 = x^2x = 51[/tex]

So the answer to question 1 is 51. Repeat this process for the rest of the questions.

In question 2, we are given the hypotenuse and 1 leg, and are missing the other leg. So set your equation up like so, and then solve,

[tex]x^2+6^2=10^2x^2+36=100x^2=64x=8[/tex]

So the answer to question 2 is 8. Now one last time for the 3 and final question. We are given two legs, and are missing the hypotenuse. So set your equation up similar to the first question.

[tex]1^2+1^2=x^21+1=x^22 = x^2x = \sqrt{2}[/tex]

So the answer to question 3 is [tex]\sqrt{2}[/tex], or approximately 1.4142

Hope this helped

4. If z/y = x , which of the following statements is true?

Answers

[tex]\longrightarrow{\blue{ c. \: y.x = z }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \frac{z}{y} = x[/tex]

[tex]➺ \: z = y.x[/tex]

[tex]➺ \: y.x = z[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Option C : y . x = z is the correct answer.

We have the following expression -

[tex]$\frac{z}{y} = x[/tex]

We have to identify the true statements from the one's mentioned.

If  [tex]$\theta = \theta_{o}[/tex](1 + R) , then find R ?

We have -

⇒ [tex]$\theta = \theta_{o}[/tex](1 + R)

R =  [tex]\frac{\theta}{\theta_{o} } - 1[/tex]

According to the question, we have -

[tex]$\frac{z}{y} = x[/tex]

We can rewrite it as -

x . y = z

Hence, Option C is the correct answer.

To solve more questions on Rearranging expressions, visit the link below -

https://brainly.com/question/8864600

#SPJ6

Please give real answers with an explaination. I will follow + I will give the brainliest. No Docs/No Files/No Links, only answer with explaination.

Answers

Answer:

134

Step-by-step explanation:

the line where B and X are equal to 180 so you subtract 180 from B witch is 134

find the location of Q​

Answers

Answer:

6 pretty sure

Step-by-step explanation:

3 step by step below

How do you know what method (SSS, SAS, ASA, AAS) to use when proving triangle congruence?
Provide the definitions of these congruency methods.

Answers

Answer:

it depends on the size and angles that are given

SSS means side side side

SAS means side angle side

ASA means angle side angle

AAS means angle angle side

5x + 1/2 y^2 What is the value of the expression above when x = 3 and y = 2? You must show all work and calculations to receive full credit.

Answers

Answer:

16

Step-by-step explanation:

5x+1/2y^2

5(3)+1/2(2)^2

15+1^2

15+1=16

What’s the measure of POQ?

Answers

Answer: 70 degrees 35 times 2

help me pls...............

Answers

Answer:

2.58

Step-by-step explanation:

3 1/3% = 0.03333

2.5 x 1 + 0.33333 gets us 2.5833

Simplify to 2.58

We add the 1 to 0.33333  to get us the original number.

Hope this Helps!

Solve the equation 3x - 13y = 2 for y

Answers

Answer: Y= -2/13 + 3x/13

I hope that help:)

For which rational expression is –2 an excluded value of x?

a.(x-3)/x^2-4

b.(x-3)/x^2+4

c.(x-4)/x^2-3

d.(x+4)/x^2-3

Answers

Answer:

option a is the answer

Step-by-step explanation:

put the value of x in each expression as x = -2

you'll see that in option a the expression becomes

[tex] \frac{x - 3}{ {x}^{2} - 4} = \frac{ - 2 - 3}{ {( - 2)}^{2} - 4} \\ = \frac{ - 5}{4 - 4} \\ = \frac{ - 5}{0} [/tex]

which is not defined. hence -2 is excluded value

A lamp post 15 feet high casts a shadow
that is 12 feet long. At the same time a
stop sign 10 feet high casts a shadow how
many feet long?

Answers

Here you go! I decided to write it down for you. Sorry for the bad handwriting! :)

What is the answer to this question??

Answers

Answer:

12

Step-by-step explanation:

sqrt(144)

What number times itself equals 144

12*12 = 144

-12*-12 =144

Given your choices, your solution is 12

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Answer: 12


I hope this helps c:

Select the postulate or theorem that you can use to conclude that the triangles are similar.

SAS Similarity Theorem
ASA Similarity Postulate
AA Similarity Postulate
SSS Similarity Theorem

Answers

Answer:

asa similarity postulate

What is the y-intercept (b) of a line with slope of 1/5 and going through the point (5,4) just the y-intercept)

Answers

Answer:

y - intercept = 3

Step-by-step explanation:

Equation of a line :

                    [tex](y - y_1) = m(x - x_1)[/tex]

[tex](x_1, y_1) = (5, 4)[/tex] , [tex]slope, m = \frac{1}{5}[/tex]

Substituting the values in the equation:

[tex](y - 4) = \frac{1}{5}(x - 5)\\\\y = \frac{1}{5} x - 1 + 4\\\\y = \frac{1}{5}x +3[/tex]

PLEASE HELP. URGENT!
Determine the equation of a line in slope, y-intercept form, that has a slope of -2/5 and passes through the point (-5,7)

Answers

Answer:

y = -2/5x + 5

Step-by-step explanation:

y = -2/5x + b

7 = -2/5(-5) + b

7 = 2 + b

5 = b

A bag contains 5 red marbles, 7 blue marbles and 2 green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that both marbles drawn will be blue?

Answers

Answer:
0.218

Step-by-step explanation:
Probability is the likelihood or chance that an event will occur.
Probability = Expected outcome of event/ Total outcome
If a bag contains 3 red marbles, 7 blue marbles and 5 green marbles, the total number of marbles in the bag will be the total outcome i.e 3+7+5 = 15
If two blue marbles are drawn, the expected outcome in both cases is 7 since there are 7 blue marbles in the bag.
Probability of drawing the first blue marble = 7/15
Probability of drawing the second blue marble = 7/15
Probability that both marbles drawn will be blue = 7/15*7/15
= 49/225
= 0.218 (to nearest 1000th)

justification of scissors​

Answers

Answer:

Following are the description of the scissors:

Step-by-step explanation:

The tool is used to cut cloth, paper, and other materials. This refers to two blades placed one on each other and attached inside the middle to enable the thumbs and fingertips to opened and shut through hooks at the bottom of the handles.

It may be used to cut different thin materials, including papers, cartons, sheets, cloth, cloth, or wire. For specific needs a broad range of scissors and shears are available.

If Line segment C B. bisects ∠ACD, what additional information could be used to prove ΔABC ≅ ΔDBC using SAS? Select three options.

m∠ABC = 125° and AB ≅ DB
ΔACD is isosceles with base AD
ΔABD is isosceles with base AD
CD = 52 cm
AB = 29 cm

Answers

1.2. I don’t know the third one

Which of the following is the correct graph of the compound inequality 4p + 1 >-11 or 6p +3 <39

Answers

Answer:

Option C

only there is p > -3

p < 6

Answer:

c

Step-by-step explanation:

Need help on this one also

thanks the choices are
1. 3
2. 8
3. 6
4. 4

Answers

Answer:For which situations is it appropriate to use a sample? Select three options.

What percentage of pick-up truck drivers want their next vehicle purchase to be another pick-up truck?

What is the average number of rainbows each year in Honolulu?

How many pedestrians would use a walkway built over a busy road?

How many police cars are equipped with computers?

What is the most popular car color in the teachers’ parking lot?

Step-by-step explanation:

Answer:

TV = 4

Step-by-step explanation:

answer choice 4. 4

Do you know how to do this?

Answers

Answer:

[tex]y=4(3)^{x}[/tex]

Step-by-step explanation:

Let the exponential function is,

f(x) = (b)ˣ

If this function has the base (b) = 3, function will be.

f(x) = (3)ˣ

If this function is transformed by a vertical stretch by a factor of 4,

New function will be,

g(x) = 4(3)ˣ

If the function 'g' is reflected across y-axis, new function will be,

h(x) = g(-x)

h(x) = [tex]4(3)^{x}[/tex]

Therefore, equation of the function will be,

[tex]y=4(3)^{x}[/tex]

Any help please?? I've been stuck on this answer for too long its embarrassing.

Answers

Answer:

13/16

Step-by-step explanation:

The pan is divided into 16 bars. His family eats half and then another 5/8. What the question is asking you to do, is to count how many green bars there are left in the pan.

Hope this Helps!

-kiniwih426

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