a √(x^2-n/m)= a^2/b make x subject

Answers

Answer 1

[tex]\sqrt{x^2 -\dfrac nm} = \dfrac{a^2}b\\\\\implies x^2 - \dfrac nm = \dfrac{a^4}{b^2}\\\\\implies x^2 = \dfrac{a^4}{b^2} + \dfrac nm}\\\\\implies x = \pm \sqrt{ \dfrac{a^4}{b^2} + \dfrac nm}}[/tex]


Related Questions

At the store one pack of pencils are on sale 4 for $1.25. Another pack has 8 pencils for $2.50 with 20% off. Which is the better deal?

Answers

Answer:

second pack

Step-by-step explanation:

1.25÷4= 0.31 so for the first pack 1 pencil cost $0.31

2.50×20%= 0.5 so its ¢50 off. 2.50-0.50= 2. 2÷8= 0.25. so for the second pack 1 pencil costs $0.25 which is lower than the 1st pack.

I hope it wasn't too confusing

Use a Quadratic formula to solve for X

3x^2+9x=-4

Round to the nearest hundreth.

Answers

The answer should be X= -9 -/33\6
That should by the answer but I couldn’t find how to round it up sorry

A storage container leaks water at a rate of 15 gallons every 30 days.

What is the unit rate in gallons per week?

Enter your answer as a mixed number in simplest form in the box.

Answers

Answer:

i think 3.5 gallons per week

[tex]3 \frac{1}{2} [/tex]

Step-by-step explanation:

15 gallons every 30 days

x gallons per weeks (7 days)

15×7 = 30x

105 = 30x

105/30 = x

3.5 = x

answer as a mixed number in simplest form = 3 1/2

Answer: The answer is 3 1/2

Step-by-step explanation:

I took the quiz and did 100% :)

hellp meeeeeeeeeeeeeeee

Answers

Answer:

Step-by-step explanation:

yasss its C

What is the value of the expression when h = 5? h + 7

Answers

Answer:

12

Step-by-step explanation:

if h=5

then h+7 = 5+7 = 12

[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}[/tex]

[tex]\implies\sf{h + 7} \\ \\ \implies\sf{5 + 7} \\ \\ \implies\sf{12}[/tex]

Find x, given the slope is -2. (x,-6) (-6,10)

Answers

Answer:

x= 2

Step-by-step explanation:

[tex]\boxed{slope = \frac{y _{1} - y_2}{x_1 - x_2} }[/tex]

Substitute known values into the formula:

[tex] - 2 = \frac{ - 6 - 10}{x - ( - 6)} [/tex]

[tex] - 2 = \frac{ - 16}{x + 6} [/tex]

-2(x +6)= -16

Divide both sides by -2:

x +6= -16 ÷(-2)

x +6= 8

Subtract both sides by 6:

x= 8 -6

x= 2

A carpenter is framing an opening in a wall to hang a rectangular door. Which properties must the door frame have to ensure that the door hangs properly?
1a) The top and bottom are parallel.
2b) The top and right side form a right angle.
4c) The left side and right side are parallel.
5d) The left side and bottom form a right angle.

Answers

1, 2, 4, and 5 are all correct.

Lincoln middle school had a canned food drive. The 6th grader brought in 5.75

Answers

So the Lincoln middle school will have +5.75 pounds or ounces of ffod

Solve for “x.”
9x = 912.6

Answers

Answer:

If it's not what You are looking for type in the equation solver your own ... is 12 percent of 912.6 - step by step solution || 2x-9=2x-9 || 2(x-3)=4(x+2) ...

Step-by-step explanation:

sorry if im wrong

Solve for r.

√2/3r + 1 = 23

Answers

Answer:

2nd option

Step-by-step explanation:

[tex]\frac{\sqrt{2} }{3}[/tex] r + 1 = 23 ( subtract 1 from both sides )

[tex]\frac{\sqrt{2} }{3}[/tex] r = 22 ( multiply both sides by 3 to clear the fraction )

[tex]\sqrt{2}[/tex] r = 66 ( divide both sides by [tex]\sqrt{2}[/tex] )

r = [tex]\frac{66}{\sqrt{2} }[/tex] × [tex]\frac{\sqrt{2} }{\sqrt{2} }[/tex] ( rationalising the denominator )

r = [tex]\frac{66\sqrt{2} }{2}[/tex] = 33[tex]\sqrt{2}[/tex]

Answer:

B) r=33*sqrt(2)

Step-by-step explanation:

sqrt(2)/3r+1=23

sqrt(2)/3r=23-1

sqrt(2)/3r=22

sqrt(2)r=22*3

sqrt(2)r=66

r=66/sqrt(2)

r=66*sqrt(2)/(sqrt(2)*sqrt(2))

r=(66*sqrt(2)/2

r=33*sqrt(2)

Freddie swam 5/7 laps on Monday, Tuesday, and Wednesday. 1/4 laps on Thursday and Friday. How many laps did he swim in total?

Answers

Answer: 27/28 or 0.9642857

   

Step-by-step explanation:

5/7 + 1/4 = 5 · 4/7 · 4 + 1 · 7/4 · 7 = 20/28 + 7/28 = 20 + 7/28 = 27/28

Solve for x
-1/5x -25 = -9

Answers

Answer:

-80

Step-by-step explanation:

you pass the 25 to the right side adding and the the 1/5 multiplying by -5 to the right side

Find the y-intercept of the line: x + 4y + 8 = 0

Answers

Answer:

(0,-2)

Step-by-step explanation:

In a solid cube made up of smaller black and white cubes. The black and white cubes are at alternate places of the larger cube. How many black cubes are there in the above arrangement?

Answers

There are 168 black cubes in the arranagement.

A cube has 6 faces. Each face of the cube consists of 25 white cubes and 24 black cubes.

To get the number of black cubes in the arrangement, we will use the equation below;

Number of black cubes = Total number of black cubes on a face * number of small cubes along the edgeNumber of black cubes = 24 * 7Number of black cubes = 168

Hence there are 168 black cubes in the arrangement.

Learn more about cubes at https://brainly.com/question/1972490

Hey can u help me pls.

Answers

Answer:

15 dots

Step-by-step explanation:

formula :: 1/2 x n ( n +1 )

fig 1 ; 1 /2 x 1 ( 1+1 ) = 1 dot

fig 2 :; 1/2 x 2 ( 2+1 ) = 3 dots

......

fig 5 :: 1/2 x 5 ( 5+1 ) = 15 dots

how to find the circumcenter of a triangle with given vertices

Answers

Answer:

What is the formula of area of Circumcircle?

Image result

We know that area of circle = π*r2, where r is the radius of given circle. We also know that radius of Circumcircle of an equilateral triangle = (side of the equilateral triangle)/ √3. Therefore, area = π*r2 = π*a2/3.

Step-by-step explanation:

BRAINLIEST 87x89 PLEASE

Answers

Answer:

7743 caught you again lolllll

=7743

Hope you find this helpful!
Brainliest and a like is much appreciated!

If (6^2]^p = 6^10, what is the value of p?
A.) 2
B.) 3
C.) 4
D.) 5

Answers

If u raise a power to another power, then u multiply the powers. In this case, u can simplify to 6^2p =6^10

Now you have like bases, so you can set the powers equal to each other. So now, 2p=10. Now p=5

Pls explain how to solve this elimination problem!!

Answers

Multiply the second equation by -2. This will cancel out the y

Write an equation of the line that passes through (7,10) and is perpendicular to the line y=1/2x−9.

Answers

y = -2x + 24

hope this is helpful!

Answer:

y+2x=24

Step-by-step explanation:

the equation of the line: y=1/2x -9

Get the slope by using derivative:

dy/dx= 1/2

dy/dx= slope of the normal line

Since we are looking for slope of the tangent line:

Use Mn=-1/Mt

The slope of the tangent line is -2

Using point slope form:

(y-y1)=m(x-x1) ; where x1=7, y1=10, and m=-2

y-10=-2(x-7)

y-10=-2x+14

ANSWER: y+2x=24

Colleen is searching online for airline tickets. Two weeks​ ago, the cost to fly from Orlando to Denver was ​$220 . Now the cost is ​$320 . What is the percent​ increase? What would be the percent increase if the airline charges an additional​ $50 baggage fee with the new ticket​ price?

Answers

Answer:

The answer is

1. 45.5% (Airline tickets)

The new price (all together) will be

2. 370.1

Step-by-step explanation:

1.);

Going by 10.

220 + 15.5% = 254.1 (Incorrect, not what were looking for)

220 + 25.5% = 276.1 (Incorrect, not what were looking for)

220 + 35.5% = 298.1 (Incorrect, not what were looking for)

220 + 45.5% = 320.1 (Correct, it's what were looking for, but it's .1 above... I hope this doesn't matter.. Right...?)

2.);

220 + 45.5% + 50 = 370.1

I hope this helped.. Have an amazing day!

(Brainliest will highly be appreciated!)

WHICH PROPERTY IS BEING USED IN THE FOLLOWING?

15 × 1 = 15​

Answers

Answer:

This is the Idenity Property

Step-by-step explanation:

The Identity Property for multiplication states that anything times 1 is the same number.

3x1=3, and 8192x1=8192 (Do you play 2048?)

The zero property: Anything multiplied by zero is zero.

1000000000000000000000000000000x0=0, 4096 x 0 = 0, and so on.

The associative property: Any where numbers are grouped in parenthesis or brackets, you still get the same answer.

(6 x 7) x 78 is the same as 6 x (7 x 78)

The commutative property: When you switch the order of numbers, you get the same answer.

256 x 32 is the same as 32 x 256

y=6x-17 -12x+2y = -34 ??

Answers

Carry learning!

Stay safe!

Study hard!

What is the image of the point (−7,−3) after a rotation of 9 0 ∘ counterclockwise about the origin?

Answers

It is best to use graph paper to visualise. A(-7, 9) is in 2nd quadrant, rotating 90 CCW brings the point in the 3rd quadrant to (-9, -7)

in general P (a, b) CCW P’(-b,a)

what is 2 2/3 - (-3 2/6)

Answers

Answer:

6

Step-by-step explanation:

Find the solution of this system of equations
-6x + 3y = -39
-6x - 3y = -21
Enter the correct answer.
DONE
OOO
Clear all
+?

Answers

Answer:

Undefined.

Step-by-step explanation:

If you try to cancel x or y, you'll cancel both, and won't be able to find the values of any of those variables.

The answer is UND (undefined) explanation in picture

Add the polynomials: x2 + 2x + 1 and y2 + 2x + 3.

Answers

Answer:6x + 4 + 2yStep-by-step explanation:x2 + 2x + 1 + y2 + 2x + 3=> 2x + 2x + 1 + 2y + 2x + 3=> 4x + 1 + 2y + 2x + 3=> 6x + 1 + 2y + 3=> 6x + 4 + 2yConclusion:

Therefore, the above answer is correct.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Adding both of the polynomial equations we get [tex]x^2+y^2+4x+4[/tex].

What is a polynomial equation?

A polynomial equation exists an equation where a polynomial exists set equivalent to zero. i.e., it exists an equation constructed with variables, non-negative integer exponents, and coefficients together with operations and an equal sign. It includes different exponents. The highest one demonstrates the degree of the equation.

Given: [tex]x^2 + 2x + 1[/tex] and [tex]y^2 + 2x + 3.[/tex]

Adding both of these two equations, then we get

[tex]x^2+2x+1+y^2+2x+3[/tex]

Group like terms

[tex]=x^2+y^2+2x+2x+3+1[/tex]

Add similar elements [tex]x^2+y^2+4x+4[/tex]

Adding both of the polynomial equations we get [tex]x^2+y^2+4x+4[/tex].

Therefore, the correct answer is [tex]x^2+y^2+4x+4[/tex].

To learn more about polynomial equations refer to:

https://brainly.com/question/26240147

#SPJ2

25-foot wire connects the top of a utility pole to a point on the ground located 7 feet away from the base of the pole.



If h represents the height of the pole, what is its measure?

A. 175 ft.
B. 24 ft.
C. 674 ft.
D. 1250 ft.\

dont be a b**ch and put a link

Answers

Answer:

B. 24 ft.

Step-by-step explanation:

25 would be the hypotenuse of a triangle and 7 is a leg, so

7^2 + x^2 = 25^2

49 + x^2 = 625

x^2 = 576

x = 24 ft

Answer:

The answer is B I took the test but used the person above me and it was right.

Step-by-step explanation:

max found a car he wants to buy that costs $16,000. He can afford to pay $250 a month for the car. His bank offers him a car loan of 7.3%. The length of his loan should be about 5 years, so he can afford the payments. true or false​

Answers

Max won't be able to afford the payments.

Since Max found a car he wants to buy that costs $16,000, and he can afford to pay $ 250 a month for the car, and his bank offers him a car loan of 7.3%, and the length of his loan should be about 5 years, to determine if he can afford the payments, the following calculation must be performed:

(16000 x 1.073 ^ 5) / (5 x 12) = X 22,757.187 / 60 = X 379.28 = X

Therefore, each monthly payment will be $ 379.28, so Max won't be able to afford the payments.

Learn more about maths in https://brainly.com/question/25927059

branliest




Solve.

−4/15x=1.44

Enter your answer as a mixed number in simplest form in the box.

x =

Answers

1 Simplify \frac{4}{15}x

15

4

x to \frac{4x}{15}

15

4x \frac{4x}{15}=1.44

4x =1.44

2 Multiply both sides by 1515.

4x=1.44\times 15

4x=1.44×15

3 Simplify 1.44\times 151.44×15 to 21.621.6.

4x=21.6

4x=21.6

4 Divide both sides by 44.

x=\frac{21.6}{4}

x= 4

21.65 Simplify \frac{21.6}{4} 421.6 to 5.45.4.

x=5.4

x=5.4

The value of x for the given equation in the mixed fraction will be -4 7/5.

What is the equation?

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.]

It is given that,−4/15x=1.44

Solve the equation for x,

x= -1.44 × 15/4

Convert the decimal values into the fraction as

x=-144/100 × 15/4

x= -27/5

A mixed number is one that includes both a correct fraction and a full number. Convert the given number into the mixed number as

x=-4 7/5.

Thus, the value of x for the given equation in the mixed fraction will be -4 7/5.

Learn more about the equation here,

https://brainly.com/question/10413253

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