If 2tanB+cotB=tanA,then proved that 2tan(A-B)=cotB​

Factorization is writing the expression in terms of multiplication of its factors. The given expression is prime(option A), thus, no factors.

Those polynomials with integer coefficients that cannot be factored further, with factors of lower degree and integer coefficients are called prime polynomial.

(it is necessary that no factors exists having their coefficients are still integers and they're of lower degree)

Suppose the given quadratic equation is

[tex]ax^2 + bx + c = 0[/tex]

Then its solutions are given as

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

Finding the roots of [tex]3x^2 - x + 5 =0[/tex], we get:

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} = \dfrac{1 \pm \sqrt{(-1)^2 - 4\times 5 \times 3}}{2 \times 3} = \dfrac{1 \pm \sqrt{1-60}}{6}[/tex]

Its square root is not real(if not using complex numbers, then its solution doesn't exist, making the roots non-real, and thus, polynomial not being able to get factorized. )

Learn more about prime polynomials here:

https://brainly.com/question/10717989

Answer:

3/8 gallon

Step-by-step explanation:

They drink 1/2 of their milk at breakfast => it means they drank 1/2 of 3/4 gallon of milk.

So, they drank : 3/4 x 1/2 = 3/8 gallon of milk.

Answer:

3 inches

Step-by-step explanation:

Hello!
We can set up a proportion: [tex]\frac{\frac{1}{2}}{\frac16}} = \frac{x}{1}[/tex]

(Check the last answer for information on setting up proportions)

Solve:

1 yard in real life is 3 inches on the model.

1 yard represent:

Answer:

Tom is incorrect

The cost of using the air pump has increased by 150%

Step-by-step explanation:

Tom is incorrect

percent change = [ (difference between initial and final value) ÷ initial value] × 100

⇒ [ (50 - 20) ÷ 20) × 100 = 150%

Therefore, the cost of using the air pump has increased by 150%

We will see that this circle is centered at the point (-5, -49) and has a radius of 1.

For a circle of radius R centered at the point (a, b), the equation is:

(x - a)^2 + (y - b)^2 = R^2

In this case, we have:

x^2 + y^2 + 10x + 14y + 73 = 0

We can rewrite this as:

(x^2 + 10x) + (y^2 + 14y) + 73 = 0

(x^2 + 2*5*x + 25) + (y^2 + 2*7*y + 49) - 25 - 49 + 73 = 0

(x + 5)^2 + (y + 49)^2 -74 + 73 = 0

(x + 5)^2 + (y + 49)^2 = 1

So we have a circle centered at the point (-5, -49) with a radius equal to 1.

If you want to learn more about circles, you can read:

https://brainly.com/question/25306774

Answer:

5mph

Step-by-step explanation:

Let speed of boat in still water is s.

Distance proportional to speed

90/10 = (s+ 4)/(s - 4)

=> 9s - 36 = s + 4

=> 8s = 40

=> s= 5 mph

:-)

.....

Step-by-step explanation:

hope you like answer

Answer:

.001024

Step-by-step explanation:

16÷-5= -3.2

we keep dividing the numbers by -5

7th term is 0.001024

Answer:

31 cylinders

Step-by-step explanation:

Hello!

Let's first find how much water is held by the cylinder. To find this, we must find the volume (amount of space it takes up) of the cylinder

[tex]V = \pi r^ * h\\\\V = \pi (6/2)^2*8\\\\V = \pi* 3^2*8\\\\V = \pi* 9*8\\\\V = 72\pi[/tex]

Now let's find the volume of the rectangular prism.

[tex]V = 24*24*12\\\\\\V = 6912[/tex]

Now, let's divide the Volume of the fish tank by the cylinder:

[tex]6912 / 72\pi\\\\\\\text{Approx } 30.58\\ = \text{Approx 31 cylinders}[/tex]

Because we can't use half full cylinder, we round up to the nearest whole number: 31

Answer:

31 cylinder containers are needed to completely fill the fish tank.

Step-by-step explanation:

The stuffs required to solve this question:

Where r is radius, h is height, l is length and b is breadth. So, now just use these formulae and solve the question.

A cylinder container is given whose height is 8 inches and diameter is 6 inches. We are aware about the fact that radius is half of diameter. So, the radius of the cylindrical container is 3 inches.

Volume of cylindrical container = π × (3)² × (8)

Volume = 72π or 226 (approx.)

Similarly, a rectangular prism is provided whose length, breadth and height is 24, 24 and 12 inches respectively.

Volume of rectangular prism = 24 × 24 × 12

Volume = 6912

'n' is the number of cylindrical containers required to fill the fish tank. So,

→ n = Volume of rectangular prism/Volume of cylindrical container

→ n = 6912/226 = 30.58

→ n = 31 (approx.)

Answer:

15

Step-by-step explanation:

acute is an angle smaller than 90 degrees

[tex] \huge{ \rm{Question:}}[/tex]

Which of the following angle measures represents an acute angle?

15

163

90

180

[tex] \huge{ \rm{Answer:}}[/tex]

Step-by-step explanation:

acute angles measures less than 90 degrees

HOPE THIS HELPS^^

Answer:

b) 1.82n

Step-by-step explanation:

n + n - 0.18n

2n - 0.18n (combine like terms)

1.82n

Hope this helps!

Answer:

3.5 cm

Step-by-step explanation:

Radius of circle = √(Distance from chord)² + (Half chord length)²

= √(2.8)² + (2.1)²

= √7.84 + 4.41

= √12.25

= 3.5 cm

The factor of the provided polynomial after the factorization process are similar to option B, which is

[tex](x+4)(3x+1)(3x-1)[/tex]

The factor of a polynomial is the terms in linear or equation form, which are when multiplied together, give the original polynomial equation as result.

Find these factors by taking out the common factors.

The given polynomial equation in the problem is,

[tex]9x^3 +36x^2 - x - 4[/tex]

The above equation has the unknown variable x and the highest power of this unknown variable is 3.

Take out the highest common factor 9x², which can divide each term of the first two terms of equation (9x³, 36x²). Thus,

[tex]9x^2(x +4) - x - 4[/tex]

Take out the highest common factor -1 from the second two terms as,

[tex]9x^2(x +4) -1( x + 4)[/tex]

Now take out the common group (x+4) as,

[tex](x +4) ( 9x^2 -1)[/tex]

The second group can be rewritten using the difference of square formula as,

[tex](x +4) ( (3x)^2 -1^2)\\(x+4)(3x+1)(3x-1)[/tex]

Thus, the factor of the provided polynomial after the factorization process are similar to option B, which is

[tex](x+4)(3x+1)(3x-1)[/tex]

Learn more about factor of polynomial here;

brainly.com/question/24380382

Step-by-step explanation:

for mean w. you have to add up all the values (cat weights) and divide them by the number of cats

and for median w. you need to compare the values from the smallest to the largest and cross out the numbers from the ends. Since there are 6 cats here (odd number) you will have 2 values left. Add them up and divide them by 2 (since there are 2)

Answer:

I'm pretty sure the answer is 0.45. I got this by dividing 1.35 by 3 which gave me 0.45. And to check it, I multiplied 0.45 by 3, snice the formula for area is multiplying.

Answer:

the answer is A

Step-by-step explanation:

hope it helps ♡

Answer: 16 degrees

Step-by-step explanation:

Answer:

Graph 7 [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.

Answer:

₹245 is the cost

Step-by-step explanation:

Given:

Cost of the fan = ₹1470

1/6th =  1470/1  × 1/6

(do not cross multiply and simplify)

=  ₹245

Answer:

Rs 1260

Step-by-step explanation:

let x be the cost price , then

x + [tex]\frac{1}{6}[/tex] x = 1470 , that is

[tex]\frac{7}{6}[/tex] x = 1470 ( multiply both sides by 6 to clear the fraction )

7x = 8820 ( divide both sides by 7 )

x = 1260

The cost price was Rs 1260

Answer:

c

Step-by-step explanation:

I'm not sure but ya that's the whole answer

Answer:

D) 6.75

Step-by-step explanation:

I multiplied 2.25 by 3 to get 6.75.

Have a good day!

Please rate and mark brainliest!

Answer:

y=x+5

Step-by-step explanation:

y-y1=m(x-x1) POINT-SLOPE FORM

Plug in your point and slope

y-3=1(x+2)   (The signs flip because of the negative)

y-3=x+2 (SIMPLIFY)

y=x+5  (Move the three. It is now slope int form)

You can check by plugging in -2 for x, and get 3 for y. (it works)

Answer:

A.

  a. Perpendicular

  b. Intersecting

  c. Parallel

B.

C.

   *Needs To Be drawn

Step-by-step explanation:

Hope This Helps!!!

Answer:

4.8

Step-by-step explanation:

[tex]Cos \ 64 =\dfrac{adjacent \ side}{hypotenuse}\\\\0.4384 =\dfrac{x}{11}\\\\\\0.4384*11=x[/tex]

x = 4.82

x = 4.8

Answer:

Cut the prism into 2 parts like the picture below

Name the upper part A, and the lower part B

Calculate the volume of part A:

12 - 8 = 4 cm

4 * 5 * 6 = 120 [tex]cm^{3}[/tex]

Calculate the volume of part B:

15 * 8 * 6 = 720 [tex]cm^{3}[/tex]

Volume of the whole prism:

Volume of part A + volume of part B

120 + 720 = 840 [tex]cm^{3}[/tex]

Answer:840 cm squared

Step-by-step explanation:

Using proportions, it is found that the average speed of the motorcycle is of 64 km/h.

A proportion is a fraction of a total amount.

In this problem, in one and one-quarter hours, that is, [tex]\frac{1} + \frac{1}{4} = 1.25[/tex] hours, the car traveled 20 km farther, hence the number of km/h by which the car is faster is given by:

f = 20/1.25 = 16 km/h.

The car's velocity was of 80 km/h, hence the average speed of the motorcycle is given by:

m = 80 km/h - 16 km/h = 64 km/h.

More can be learned about proportions at https://brainly.com/question/24372153

The length of side LM in the triangle LMN is 6.75 cm.

Two figures are said to be similar if they are of the same shape and the ratio of their corresponding sides are in the same proportion.

From the diagram:

LM / HJ = JK / MN

LM / 4.5 = 9 / 6

LM = 6.75 cm

The length of side LM in the triangle LMN is 6.75 cm.

Find out more on similar figures at: https://brainly.com/question/26173060

Answer:

9/6 = LM/4.5

Epxlanation:

I go to K-12 and I did the test