Verify the given polynomial identity

a^2 - b^2 = (a-b) (a+b)

[tex]\Large{\underline{\sf Solution:-}}[/tex]

[tex]\\ \sf\dashrightarrow L=\dfrac{\Theta}{180}\times \pi r[/tex]

[tex]\\ \sf\dashrightarrow 10=\dfrac{\Theta}{180}\times 3.14\times 15[/tex]

[tex]\\ \sf\dashrightarrow 10=\dfrac{\Theta}{180}\times 47.1[/tex]

[tex]\\ \sf\dashrightarrow \Theta=\dfrac{10(180)}{47.1}[/tex]

[tex]\\ \sf\dashrightarrow \Theta=\dfrac{1800}{47.1}[/tex]

[tex]\\ \sf\dashrightarrow \Theta=38.2°[/tex]

Answer:

Step-by-step explanation:

focus distance=9

a=2 f²=a²+b² ==> b²=9²-2²=77 ==> b=√77

[tex]\dfrac{(x-0)^2}{2^2}- \dfrac{(y-0)^2}{77}=1\\\\\\\boxed{\dfrac{x^2}{4}- \dfrac{y^2}{77}=1}\\[/tex]

Equation of hyperbola is  [tex]\frac{x^{2} }{4} -\frac{y^{2} }{77} =1[/tex].

Hyperbola is defined as an open curve having two branches which are mirror images to each other.

A plane curve generated by a point so moving that the difference of the distances from two fixed points is a constant : a curve formed by the intersection of a double right circular cone with a plane that cuts both halves of the cone.

Given

Foci: (-9, 0) and (9, 0)

Foci: (±9, 0)

Vertices: (-2,0) and (2,0)

Vertices: (±2, 0)

So, a = ±2, c = ±9

Now [tex]c^{2} =a^{2} +b^{2}[/tex]

[tex]b^{2} =c^{2} -a^{2}[/tex]

[tex]b^{2} =9^{2} -2^{2}[/tex]

[tex]b^{2} =81-4[/tex]

[tex]b^{2} =77[/tex]

Equation of hyperbola is

[tex]\frac{x^{2} }{a^{2} } -\frac{y^{2} }{b^{2} } =1[/tex]

⇒ [tex]\frac{x^{2} }{4} -\frac{y^{2} }{77} =1[/tex]

Hence, equation of hyperbola is  [tex]\frac{x^{2} }{4} -\frac{y^{2} }{77} =1[/tex].

Find out more information about hyperbola here

https://brainly.com/question/27799190

#SPJ2

Answer:

x^2 -12x+36

Step-by-step explanation:

(x - 6)^2

(x-6)(x-6)

FOIL

x^2 - 6x-6x+36

Combine like terms

x^2 -12x+36

Answer:

Glaucoma is a group of eye conditions that damage the optic nerve, the health of which is vital for good vision. This damage is often caused by an abnormally high pressure in your eye. Glaucoma is one of the leading causes of blindness for people over the age of 60.

Step-by-step explanation:

Hope it does not help Lol ;)

Answer:

11x^2-8x-14

Step-by-step explanation:

(2x^2- 8x– 6)+(9x^2-8) = 11x^2-8x-14

Answer:

11x^2-8x-14

Step-by-step explanation:

2x^2- 8x– 6 and 9x^2-8

solution:

2x^2- 8x– 6 +(9x^2-8)

=2x^2-8x–6+9x^2-8

=2x^2+9x^2-8x-6-8

=11x^2-8x-14

Answer:

x = 12.053

hope this helps !!

Answer: 4.2+(−1.2)+(−2.3) = 0.7

Answer:

Step-by-step explanation:

\mathrm{Multiply\:the\:numerator\:and\:denominator\:by:}\:100

\mathrm{Multiply\:the\:quotient\:digit}\:\left(0\right)\:\mathrm{by\:the\:divisor}\:505

\mathrm{Subtract}\:0\:\mathrm{from}\:23

Answer:

-24 is the answer according to me.

Step-by-step explanation:

Stefan ask ur mom the total cups of ingredients

A general linear equation is given by:

[tex]y = a*x + b[/tex]

Where a is the slope and b is the y-intercept.

Here we will find that the linear equation that represents the situation is

[tex]y = 0.033*x + 1.269[/tex]

And we can expect that the median salary in 2048 is $2.853 million

If the line passes through the points (x₁, y₁) and (x₂, y₂) then the slope can be written as:

[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Here we know that:

in 2007 (x = 7) the median player salary was y = $1.5 million

in 2013 (x = 13) the median player salary was y = $1.7 million.

Then we have two points that we can write as:

(7, 1.5)

(13, 1.7)

Note that the y-value is in millions.

Then the slope of the linear equation will be:

[tex]a = \frac{1.7 - 1.5}{13 - 7} = 0.033[/tex]

So the linear equation is something like:

[tex]y = 0.033*x + b[/tex]

To find the value of b, remember the point (7, 1.5), this means that when we have x = 7, we also have y = 1.5, then we can replace these in the above equation:

[tex]1.5 = 0.033*7 + b\\\\1.5 - 0.033*7 = b = 1.269[/tex]

Then the linear equation is:

[tex]y = 0.033*x + 1.269[/tex]

b) Now we want to predict the median salary in 2048. For 2048 the x-value is x = 48

So we just need to evaluate this in the linear equation:

[tex]y = 0.033*48 + 1.269 = 2.853[/tex]

Then the median salary in 2048 will be $2.853 million

If you want to learn more, you can read:

https://brainly.com/question/1189779

Answer:

46

Step-by-step explanation:

PR = PQ + QR

4x - 10 = x +  2x + 4   {Combine like terms}

4x - 10 = 3x + 4     {Add 10 to both sides}

4x        = 3x + 4 + 10

        4x = 3x + 14              {Subtract 3x from both sides}

4x - 3x  = 14

          x = 14

PR = 4x - 10    {Plugin x = 14}

     = 4*14 - 10

     =  56 - 10

     =  46

Answer:

684

Step-by-step explanation:

Since 90% = 0.9

0.9 x 760

Which equals 684

Please mark as brainliest

Answer:

=684

Step-by-step explanation:

90% of 760

90/100 x 760

=684

Answer:

the slope of parallel lines is =m1=m2

Step-by-step explanation:

A. parallelogram & Rhombus

B. trapezium

Answer:

-4 < 4

Step-by-step explanation:

-4 is less than 0  

4 is greater than 0

-4 < 4

Answer:

5---6

Step-by-step explanation:

Given, the package of invitations contain [tex]12[/tex] invitations and package of envelopes contain [tex]10[/tex] envelopes.

Let [tex]x[/tex] and [tex]y[/tex] denote the number of invitation packages bought by Ronnie respectively.

It is given that, Ronnie bought the fewest number of invitations and envelopes so that there is exactly one envelope per invitation with none left over.

That is,[tex]12x-10y=0[/tex].

When, [tex]x=1[/tex] the value of [tex]y[/tex] becomes [tex]1.2[/tex].

It is not possible, since the number package cannot be in decimals.

When, [tex]x=2[/tex] the value of [tex]y[/tex] becomes [tex]2.4[/tex].

This is not possible, since the number package cannot be in decimals.

When, [tex]x=3[/tex] the value of [tex]y[/tex] becomes [tex]3.6[/tex].

This is not possible, since the number package cannot be in decimals.

When, [tex]x=4[/tex] the value of [tex]y[/tex] becomes [tex]4.8[/tex].

This is not possible, since the number package cannot be in decimals.

When, [tex]x=5[/tex] the value of [tex]y[/tex] becomes [tex]6[/tex].

This is not possible, since the number package cannot be in decimals.

Thus, Ronnie bought [tex]5[/tex] packages invitations and [tex]6[/tex] packages envelopes so that there is exactly one envelope per invitation with none left over.

Answer:

2

Step-by-step explanation:

3x + 5x  + 8x = 32

taking x common,

(3 + 5 + 8)x = 32

16x = 32

x = 32 / 16

x = 2

Answer: See below

Explanation:

The ultimate method of solving algebra problems will be trying any operations to isolate x, which then gives the value of x.

Operations include combining like terms, dividing and multiplying terms, and etc.

I would be solving [3x + 5x + 8x = 32] as an example.

Solve:

Given

3x + 5x + 8x = 32

Combine like terms through addition

8x + 8x = 32

16x = 32

Divide 16 on both sides to isolate x

16x / 16 = 32 / 16

[tex]\boxed {x=2}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

......................

[tex](x+3)(x-8)=x\cdot x+x\cdot(-8)+3\cdot x+3\cdot(-8)=\\\\=x^2-8x+3x-24=\boxed{x^2-5x-24}[/tex]

Step-by-step explanation:

Multiple:

=x^2-24+3x-8x

=x^2-24-5x

=x^2-5x-24

Simplify:

x^2-5x-24=0

(x-8) (x+3) =0

x= 8 x= -3

A-B=(a p I v e) -(a c t)

=(p l v e) is the correct answer

Answer:

56m²

Step-by-step explanation:

1/2×b×h

1/2×14×8

1/2×112

112/2

56m²

Answer:

AD=7.5

Step-by-step explanation:

If AB=15 and D is the midpoint that means AD=DB which is half of AD,

AD=AB/2

AD=15/2

therefore AD=7.5

Step-by-step explanation:

figure 1,2 respectively..

-1.4 is your answer

hope it helps

Answer:

1/15

Step-by-step explanation:

1.5 m = 100*1.5 = 150 m

so

10/150 = 1/15

Answer: The side length is 3in (inches)

Step-by-step explanation:

Since it's a cube, all the sides are the same.

Formula for cube: L x W x H

= 3 x 3 x 3

= 27in

The answer is in the picture. I haven not finished question (a) since I think there might be a typing error in the question. So, could you check the question again please?