Please help
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Answer:

Given, x−x1=5

Squaring both the sides,

⇒(x−x1)2=52

⇒x2+x21−2(x)(x1)=25

⇒x2+x21=25+2

⇒x2+x21=27

Now,

x3−x31

=(x−x1)[(x)2+(x1)2+(x)(x1)]

=5(27+1)

=140

9514 1404 393

Answer:

  322

Step-by-step explanation:

Consider the cube ...

  (a +b)³ = a³ +3a²b +3ab² +b³

  = a³ +b³ +3ab(a+b)

Now, for a=x and b=1/x, we have ...

  (x +1/x)³ = x³ +1/x³ +3(x)(1/x)(x +1/x)

Using the known value for x+1/x, this is ...

  7³ = x³ +1/x³ +3(7)

  x³ +1/x³ = 7³ -3·7 = 343 -21

  x³ +1/x³ = 322

_____

If you want to try this with numbers, the solutions to the original equation are ...

  x ≈ 6.85410196625 and its reciprocal.

Answer:

1. Distributive Property

2. Subtraction Property of Equality

3. Addition Property of Equality

The property that justifies each step of 5(x-1) = 4x + 13 is 5x - 5 = 4x + 13.

Distributive property is when we distribute and multiply in between addition and subtraction

Given 5(x-1) = 4x + 3.

We know a(b+c) = ab + ac which is distributive property.

So, 5(x-1) = 4x + 3.

5x - 5 = 4x + 3.

Solving these problem and finding the value of x

5x - 5 = 4x + 13.

5x - 4x = 13 + 5.

x = 18.

learn more about distributive property here :

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Given:

The sum of a number times 10 and 16 is at most 28.

To find:

The inequality for the given statement.

Solution:

Let the unknown number be c.

A number times 10  = 10c

Sum of a number times 10 and 16 = 10c + 16

At most 28 = Number should less than or equal to 28.

The inequality for given sentence is

[tex]10c+16\leq 28[/tex]

Therefore, the required inequality is [tex]10c+16\leq 28[/tex].

Answer:

- 1

Step-by-step explanation:

The product of the slopes of lines perpendicular to each other is - 1

Given y = 4x - 5 with slope 4

y = - [tex]\frac{1}{4}[/tex] x - 5 with slope - [tex]\frac{1}{4}[/tex] then

4 × - [tex]\frac{1}{4}[/tex] = - 1 proving the lines are perpendicular

Answer:

a3

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

Answer:

d. x=3 and x-11

Step-by-step explanation:

Answer:m=4

Step-by-step explanation:Use the slope formula. The set up would be -4-4/-2-0. This gives us -8/-2 which you can simplify to 4.

Answer:

-3/4 I think do

Answer:

To add or subtract two like fractions, simply add or subtract the numerators and put the result over the common denominator, so your answer is 0.08333333333

Step-by-step explanati

Answer:

The correct option is;

Arithmetic, common difference = -10

Step-by-step explanation:

The x terms given of the sequence are;

x         [tex]{}[/tex]  1          2         3         4      

f(x)      [tex]{}[/tex]   5        -5       -15        -25

For a geometric progression, a·r/a = a·r²/ar = ar³/ar² = (n + 1)/n = r

We check to obtain -5/5 ≠ -15/(-5), therefore, the system is not a geometric progression

For ab arithmetic progression, we have;

(n + 1)th term - nth term = (n + 2)th term - (n + 1)th term = d (The common difference

We check to obtain -5 - 5 10, -15 - (-5) = -15 + 5 = -10 similarly, we have; -25 - (-15) = -25 + 15 = -10

Therefore, the sequence is an arithmetic sequence, with common difference = -10.

Answer:

option 1 A)arithmetic,common difference= -10

Step-by-step explanation:

i took the test and got the answer correct

Answer:

you take 7.50 and divide it by 3 which equals $2.50

Answer: x=12

Step-by-step explanation:

20 squared= 400 and 16 squared= 256. The Protagorean Theorm is a sqaured plus b sqaured equals c squared. You just reverse the Theorm to C sqaured minus B squared= A squared. 400-256=144 (12x12= 144)

Answer:

X=19

Step-by-step explanation:

2x + 10 = -28

     -10     -10         Subtract 10 from both sides

divide both sides by 2

That gives you

X= 19

Answer:

Step-by-step explanation:

24g-20-3g+4

21g-20+4

21g-16

g=.76

Answer:

Step-by-step explanation:

it is 21g-24

Answer:

-2,1

Step-by-step explanation:

Answer:

the answer is (-2,1)

Answer:

41/8

Step-by-step explanation:

Answer:

Convection

Step-by-step explanation:

The correct option is  C Radiation.

Conduction means transfer of energy (heat) arising from temperature differences between adjacent parts of a body.

Convection is the transfer of thermal energy by the physical movement of fluid (liquid, gas, or plasma) from one location to another.

Radiation is an electromagnetic radiation that is emitted by a body as a result of its temperature. All objects with a temperature above absolute zero emit thermal radiation in a spectrum of wavelength.

Sublimation is the process of changing a solid into a gas without passing through the liquid phase. To sublime a substance, a certain energy must be transferred to the substance via heat (q) or work (w).

Hence from all the above definitions it is clear that every phenomenon except  radiation transfer some amount of thermal energy.

Hence through Radiation thermal energy is not transferred.

For more details on Radiation follow the link:

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okay if I'm doing this right then

-3 goes to 1

-2 goes to 0

1 goes to 2

3 goes to -4

-3 goes to 5

I think you put the x to the y ones

Answer:

55:5

121:11

Step-by-step explanation:

Answer:

Step-by-step explanation:

A.

X is greater than negative eight and less than eight and the dots are marking the numbers on the number line

Answer:

64

Step-by-step explanation:

A=1/2bh

basic multiplication after that

Answer:

Multiply the height by the base to get the area. 8 x 6 = 48. The area of the first triangle is 48 square inches. 8 x 10 = 80. The area of the second triangle is 80 square inches.

Step-by-step explanation:

Answer:

free points for me thank you buddy

Answer:

See Below.

Step-by-step explanation:

We want to write a paragraph proof to prove the following theorem:

If ∠N and ∠M are congruent and supplementary, then ∠N and ∠M are right angles.

Each sentence is numbered:

1) Because ∠N and ∠M are congruent, m∠M = m∠N by the definition of congruent angles.

2) Because ∠N and ∠M are supplementary, m∠M + m∠N = 180.

3) Substitute m∠M to m∠N to get m∠M + m∠M = 180, or 2m∠M=180.  

4) The Division Property of Equality then yields m∠M = 90.

5) Substitute m∠N for m∠M to get m∠N = 90.

6) By the definition of right angles, ∠N and ∠M are right angles.

Answer:

16/20

Step-by-step explanation: