Find the value of the expression a? – b2 for a = 2 and b=1

Answer:

[tex]y=\frac{-1}{2} \sqrt[]{4x^2+4c_{1}^2} -c_{1}\ or \ \frac{1}{2} \sqrt[]{4x^2+4c_{1}^2} -c_{1}[/tex]

Step-by-step explanation:

As it is first order nonlinear ordinary differential equation

Let y(x) = x v(x)

2xy/(x²+y²)=2v/(v^2+1)

dy=xdv+vdx

dy/dx=d(dv/dx)+v

x(dv/dx)+v=(2v)/(v^2+1)

dv/dx=[(2v)/(v^2+1)-v]/x

[tex]\frac{dv}{dx}=\frac{-(v^2-1)v}{x(v^2+1)}[/tex]

[tex]\frac{v^2+1}{(v^2-1)v}dv=\frac{-1}{x}dx[/tex]

u=v^2

du=2vdv

Left hand side:

∫[tex]\frac{v^2+1}{v(v^2-1)}dv[/tex]

=∫[tex]\frac{u+1}{2u(u-1)}du[/tex]

=[tex]\frac{1}{2}[/tex]∫[tex](\frac{2}{u-1} -\frac{1}{u} )du[/tex]

=[tex]ln(u-1)-\frac{ln(u)}{2} +c[/tex]

=[tex]ln(v^2-1)-\frac{ln(v^2)}{2}+c[/tex]

Right hand side:

[tex]=-ln(x)[/tex]

Solve for v:

[tex]v=-\frac{-c_{1}+\sqrt{c_{2}+4x^2 } }{2x} \ or \ \frac{-c_{1}+\sqrt{c_{2}+4x^2 } }{2x}\\[/tex]

[tex]y=\frac{-1}{2} \sqrt[]{4x^2+4c_{1}^2} -c_{1}\ or \ \frac{1}{2} \sqrt[]{4x^2+4c_{1}^2} -c_{1}[/tex]

Answer:

9000

Step-by-step explanation:

Answer:

slope=-2

Step-by-step explanation:

Okay so we just take those coordinates and apply them to this formula:        

y2-y1/x2-1

then simplify to get -2

if you want me to elaborate just say the word

Answer: 1 is D and 2 is B I think

Step-by-step explanation: 1 is D because 59.2 + (-84.7) because D is the same thing as 59.2-84.7, just written differently. 2 is B because the longer line resembles -15 and the smaller line resembles 6. -9 is circled because its supposed to add up to -9, hence why it would be 6+(-15)=-9. Hope this helped :)

Answer:

(2, 7)

Step-by-step explanation:

bc if you plug in the points into the equation you get 3(2)+4(7) is greater or equal to 20. 3(2)+4(7) is 34 and that is greater than 20

Answer:

the answer is 15'2" of the rope that is left

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

3/4=9/12

12/12-9/12=3/12

(3/12)/3=1/12

Answer:

The friend both get 1/12

Step-by-step explanation:

Hope this helps!

Answer:

$1

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year,

then, solving our equation

I = 10 × 0.05 × 2 = 1

I = $ 1.00

The simple interest accumulated

on a principal of $ 10.00

at a rate of 5% per year

for 2 years is $ 1.00.

➽ Let the cost price of the washing machine be a variable and apply the condition that the loss Juhi faced was 20% of the cost price, i.e., Rs. 13,500 is 80% of the cost price to form an equation. Solve the equation to get the answer.

➽ The selling price of the washing machine after bargain = Rs 13, 500

➽ percentage of loss she had in the bargain = 20 %

let the price paid by juhi be x

➽ Now interpreting the statement in the question

in mathematical form we get :

[tex] \implies[/tex] loss = Rs 2 / 10 × 2

[tex] \implies[/tex] Loss = Rs 2 / 10 × x

➽ According to the simple marketing norm, if we subtract the loss from the buying price, we will be getting the selling price for which Juhi sold the washing machine.

Profit / loss = purchasing price - Selling price

Substituting the values the above equation, we get;

[tex] \implies[/tex] 2 x / 10 = x - 13500

[tex] \implies[/tex] 2 x / 10 = x - 13500 / 2

On cross-multiplication, we get;

2 x = 10 ( x - 13500 )

[tex] \implies[/tex] 2 x = 10 x - 13500

[tex] \implies[/tex] 8 x = 13500

∴ x = 13500 / 8 = 16875

❑ Don’t get confused and take the 20% of the selling price while you solve, as you should be very clear that the percentage loss or profit are terms related to the actual pricing not to the price for which you crack the deal. The other way of thinking of this is that the selling price might vary from buyer to buyer depending on the bargain they put in, but the percentage should be defined from a fixed mark so that you can easily handle it. The reason that most products in the market have an MRP tag on it making it easier for all the sellers to handle their margins.

Answer:

5 + 4 = 8 (False)

1 + 1 = 2 (True)

Step-by-step explanation:

First Case:

5+4=8

No this is not correct as when 5 is added to 4 then the result should be - (1+1+1+1+1) + (1+1+1+1)

= 1 + 1 + 1 + 1 + 1 + 1 + 1 +1 +1

= 9

So this is not correct.

Second Case:

1 + 1 = 2

Yes this is correct when 1 and 1 are added for two times it results in 2.

Answer:

m<A = 69°

m<C = 69°

Step-by-step explanation:

From the question given above, the following data were obtained:

AB = AC

m<B = 42°

m<A =?

m<C =?

Since:

AB = AC

Therefore,

m<A = m<C

A + B + C = 180 (sum of angles in a triangle)

C + 42 + C = 180

Collect like terms

C + C = 180 – 42

2C = 138

Divide both side by 2

C = 138 / 2

C = 69°

Finally, we shall determine m<A. This can be obtained as follow:

m<A = m<C

m<C = 69°

Therefore,

m<A = 69°

Answer:

[tex]C =\frac{5}{9}(F - 32)[/tex]

Step-by-step explanation:

Given

[tex]F = 1.8C + 32[/tex]

Required

Solve for C

[tex]F = 1.8C + 32[/tex]

Subtract 32 from both sides

[tex]F-32 = 1.8C + 32-32[/tex]

[tex]F-32 = 1.8C[/tex]

Divide both sides by 1.8

[tex]\frac{1}{1.8}(F - 32) = C[/tex]

Express the decimal as fraction

[tex]\frac{1}{18/10}(F - 32) = C[/tex]

[tex]\frac{10}{18}(F - 32) = C[/tex]

Simplify

[tex]\frac{5}{9}(F - 32) = C[/tex]

[tex]C =\frac{5}{9}(F - 32)[/tex]

Answer:

The answer is 22!

Step-by-step explanation:

3*5 = 15, 15+7 = 22

Brainliest pls! :D

Answer:

False

Step-by-step explanation:

The people arent random

Answer:

No

FDSAdsadasdsadaaaaaaaaaaaaaaa

Answer:

4 2/3 pounds of watermelon.

--

I hope this helped you!

Answer:

5

Step-by-step explanation:

Answer:

The answer would be 5

Step-by-step explanation:

Answer:

Length: 4 feet

Width: 2 feet

Step-by-step explanation:

The only possibilities that could get an area of 8 feet are 4 x 2 and 8 x 1

However, it has to be 4 x 2 because the 8 x 1 dimension won't have a perimeter of 12 feet.

The dimensions of 4 x 2 will have an area of 8 square feet, since 4(2) = 8

It will also have a perimeter of 12 feet because 4 + 4 + 2 + 2 = 12

So, the length is 4 feet and the width is 2 feet

Answer:

60

Step-by-step explanation:

Answer: I think there is only one

Step-by-step explanation:

Answer:

an infinite number

Step-by-step explanation:

Let's solve for y for both equations.

[tex]2x-3y=10\\-3y=10-2x\\y=\frac{2}{3}x-\frac{10}{3}[/tex]

[tex]-4x+6y=-20\\6y=4x-20\\y=\frac{4}{6} x-\frac{20}{6}[/tex]

By reducing fractions we get:

[tex]y=\frac{2}{3}x- \frac{10}{3}[/tex]

These two equations are EXACTLY the same.

Therefore, this system has an infinite number amount of solutions.

Using desmos graphing calculator, you can't see both lines because they're exactly the same line.

Answer:

3 8/9

Can I get Brainliest?

Answer:

3 8/9

Step-by-step explanation:

9 goes into 35 3 times with a remainder of 8

The inequality that represents this situation is x + y ≤ 8

Inequalities shows the non equal comparison between numbers or expressions.

Let x represent the number of small purses and y represent the number of big purses.

Given that She can make no more than 8 purses a week, hence:

x + y ≤ 8

The inequality that represents this situation is x + y ≤ 8

Find out more at: https://brainly.com/question/25285332

[tex] \huge \sf \ \star \purple{Answer} \star[/tex]

the act, process, or an instance of eliminating or discharging: such as. a : the act of discharging or excreting waste products from the body

the act, process, or an instance of eliminating or discharging: such as. a : the act of discharging or excreting waste products from the body.

Elimination is the process of getting rid of something, whether it's waste, errors, or the competition. Elimination comes from the Latin word limen, which means threshold. The Romans added an “e” to the beginning and created the verb eliminare, which means to banish or to push over the threshold and out the door.

[tex] \huge{ \bf \color{red}{hope \: it \: helps}}[/tex]

Answer:

5/2 =

2.5

Step-by-step explanation:

Answer:

A,CAND D

Step-by-step explanation:

ADD ME AS BRAINLIEST

Answer:

they should all be checked

Step-by-step explanation:

ap3x

Answer:

If x and y are the hours she drove at the different rates, then:

x+y=5

80x+100y=440

-------

80x+100y=440

80x+80y=400

20y=40

y=2

x=3

She drove 3 hours at 80 kmh and 2 hours at 100kmh!!!!!!!

Step-by-step explanation:

Answer:

1 and 2

Step-by-step explanation: