All categories

3 years ago

A+b+c=m,a2+b2+c2=n,a3+b3=p3. If c=0 then prove that m3+2p3=3mn

Mathematics

2 answers:

hodyreva [135]3 years ago

5 0

Answer:

a + b + c = m

=> (a + b+ c)³= m³

⇔m³ = a³ + b³ +c³ + 3(a + b)(a + c)(c + b)

=> m³ + 2p³ = 3a³ + 3b³ + c³ + 3(a + b)(a + c)(b + c)

with c = 0 => m³ + 2p³ = 3a³ + 3b³ + 3ab(a + b)

have:

3mn = 3(a + b + c)(a² + b² + c²)

with c = 0

=> 3mn = 3(a + b)(a² + b²) = 3[a³ + ab² + ba² + b³]

= 3a³ + 3b³ + 3(a²b + ab²)

= 3a³ + 3b³ + 3ab(a + b)

= m³ + 2p³

=> 3mn = m³ + 2p³

Step-by-step explanation:

miskamm [114]3 years ago

4 0

Answer:

raja don mein hoo kya problem he

You might be interested in

In the proportion 1/z = 4/5/8 which number os equal to z in the proportion

kobusy [5.1K]

I think it’s -156.250771950772

6 0

3 years ago

The number of pieces of mail that a department receives each day can be modeled by a distribution having mean 44 and standard de

saveliy_v [14]

Answer:

Step-by-step explanation:

Assuming a normal distribution for the number of pieces of mail that a department receives each day, the formula for normal distribution is expressed as

z = (x - u)/s

Where

x = number of pieces of mail

u = mean

s = standard deviation

From the information given,

u = 44

s = 8

We want to find

P(x lesser than or 40) or P(x greater than 48)

For P(x lesser than or 40)

For x = 40,

z = (40 - 44)/8 = - 4/8 = - 0.5

Looking at the normal distribution table, the corresponding value of the z score is 0.30854

P(x greater than 48) = 1 - P(lesser than or or equal 48)

For x = 48,

z = (48 - 44)/8 = 4/8 = 0.5

Looking at the normal distribution table, the corresponding value of the z score is 0.69146

P(x greater than 48) = 1 - 0.69146 = 0.30854

The probability that the sample mean will be less than 40 or greater than 48 using is

0.30854 + 0.30854 = 0.69146

7 0

3 years ago

What is the value of p in the question below. 10x9/2x4= px 5

ycow [4]

Answer:

p = 5

Step-by-step explanation:

We have that:

$\frac{x^{a}}{x^{b}} = x^{a-b}$

$\frac{x^{9}}{x^{4}} = x^{9-4} = x^{5}$

10/2 = 5

Then

$\frac{10x^{9}}{2x^{4}} = 5x^{9-4} = 5x^{5}$

Finding p:

$5x^{5} = px^{5}$

$p = \frac{5x^{5}}{x^{5}}$

$p = 5$

7 0

3 years ago

A solid right pyramid has a regular hexagonal base with an area of 7.4 units2. The pyramid has a height of 6 units.

Lelechka [254]

Answer: Second option.

Step-by-step explanation:

You need to use the following formula:

$V=\frac{1}{3}Bh$

Where "B" is the area of its base and "h" is the height.

According to the data given in the exercise, you know that:

$B=7.4 units^2\\\\h=6\ units$

Therefore, knowing this values, you can substitute them into the formula shown before and then evaluate, in order to calculate the volume of thi right pyramid whose base is a regular hexagon.

Then, you get:

$V=\frac{1}{3}(7.4 units^2)(6\ units)\\\\V=14.8\ units^3$

6 0

3 years ago

Read 2 more answers

Simplify (9x + 10) - (7x + 8)

Ilia_Sergeevich [38]

Answer:

2x+2

Step-by-step explanation:

of symbols, representing a value, o relation. example 2+2=4

8 0

3 years ago