(a + b)(a2 – ab + b2) = a3 + b3

Answers

Answer 1

Answer:

a3 + b3 = a3 + b3

Step-by-step explanation:

I'm not sure what you are asking for but this equation is true if that's the problem.

Multiply all the variables and then combine like terms.

On the left side we end out as a3 + b3 which is equal to the right side. Hope this helps!


Related Questions

i will give brainliest. Select the 2 equations that are equal to the expression z^8. Answers in picture below.

Answers

[tex]the \: right \: options \: are \\ option \: b \\ option \: c \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]

Figure ABC is to be translated to Figure A'B'C' using the rule (x, y) → (x−2, y+3).

Triangle ABC on the coordinate plane with the ordered pairs for A as 1,1, B as 2,5, and C as 3,2.

Which coordinates will best represent point B'? (4 points)

Image


(4, 2)

(0, 8)

(−1, 7)

(5, 3)

Answers

Answer:

(0,8)

Step-by-step explanation:

(2,5) to (0,8)

(2-2,5+3) --> (0,8)

A square has side lengths of 9 use the Pythagorean theorem to find the length of the diagonal

Answers

Answer:

12.73

Step-by-step explanation:

The diagonal of the square forms the shape of a right angle with two adjacent sides of the square.

The diagonal is the hypotenuse.

Pythagoras theorem states that the square of the hypotenuse is equal to the sum of the square of the other two sides of the triangle:

[tex]d^2 = a^2 + b^2[/tex]

where d = hypotenuse = diagonal.

Since the other two sides are equal, then:

[tex]d^2 = a^2 + a^2\\\\d^2 = 2a^2[/tex]

The length of the side of the square is 9:

[tex]d^2 = 2 * 9^2 \\\\d^2 = 2 * 81\\\\d^2 = 162\\\\d = \sqrt{162}\\ \\d = 12.73[/tex]

The length of the diagonal is 12.73

Answer:

12.73

Step-by-step explanation:

what is the answer for AC =

Answers

Answer:

The length of AC is 2.33 units.

Step-by-step explanation:

You have to use Tangent Rule, tanθ = opposite/adjacent :

[tex] \tan(θ) = \frac{oppo.}{adj.} [/tex]

Let oppo. = AC,

Let adj. = BC = 5,

Let θ = 25°,

[tex] \tan(25) = \frac{ac}{5} [/tex]

[tex]ac = 5 \tan(25) [/tex]

[tex]ac = 2.33 \: units \: (near.hundredth)[/tex]

LAT QUESTION AND LAST TRY!!! WILL GIVE BRANLIEST!!!! AT LEAST TAKE A LOOK, SHARE YO SMARTNESSS!!!!!!!! PLS

12. ___________________ lines cross at a right angle.
A) Parallel
B) Slanted
C) Intersecting

Answers

Answer:

The answer is A, parallel.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

took the test

What is the y-value when x equals -12.

Answers

Answer:

-128 it’s on the table

Step-by-step explanation:

HEY!HERE IS UR ANSWER:

So as x=-12

Well then y=-200-6(-12)

y=-200+72 {Positive 72 cause negative 6 * negative 12 equals positive 72}

y=-128

HOPE IT MAKES UR DAY BETTER!!

Raj was asked to fully simplify this polynomial and put it into standard form.
2x2y + 8x3 – xy2 – 2x3 + 3xy2 + 6y3
Raj simplified the polynomial with a final term of 6y3. What is the first term of the polynomial Raj ended up with?
6x3
8x3
2xy2
3xy2

Answers

Step-by-step explanation:

The first term is 6x3

Because he subtracted like terms 8x3 and 2x3

Answer:

6x³

Step-by-step explanation:

2x²y + 8x³ – xy² – 2x³ + 3xy² + 6y³=

6x³+2x²y+2xy²+6y³

2,7, 12, 17, 22, 27, 32, 37, ...
f(1) =
Common Difference:
Explicit Rule:​

Answers

Answer:

Common difference=5.

HELP PLEASE
18 miles= how many feet
_________feet


Answers

Answer:

18 miles= how many feet

____95,040_____feet

Step-by-step explanation:

happy to help ya:)

One number is 5 more than twice another and their sum is 23.
Which of the following system of equations represents the word problem?
y= 2( x + 5) and x + y= 23
x + y = 23 and y= 2 x + 5
y=x+ 5 and y + 2(x+5) = 23

Answers

Answer:

x + y = 23 and y= 2 x + 5

Step-by-step explanation:

The number is 5 more than twice another so 2x + 5 = y

The two numbers have a sum of 23 so x + y = 23.

Use the Law of Sines to complete an expression that represents the angle measure x.

Answers

Answer:

The length of a is equal to 14.9.

The angle measure of b is equal to 71°.

The length of c is equal to 25.5.

General Formulas and Concepts:
Pre-Calculus

Law of Sines:
[tex]\displaystyle \bold{ \frac{\sin A}{a} = \frac{\sin B}{b} = \frac{\sin C}{c} }[/tex]

Step-by-step explanation:

Step 1: Define

Identify given from triangle.

Length corresponding with x°: 14.9

Other given angle: 71°

Length corresponding with 71°: 25.5

Step 2: Find Values

[Law of Sines] Substitute in variables:
[tex]\displaystyle \frac{\sin x^\circ}{14.9} = \frac{\sin 71^\circ}{25.5}[/tex]Isolate x° term:
[tex]\displaystyle \sin x^\circ = \frac{14.9 \sin 71^\circ}{25.5}[/tex]Isolate x°:
[tex]\displaystyle x^\circ = \sin^{-1} \bigg( \frac{14.9 \sin 71^\circ}{25.5} \bigg)[/tex]Identify variables:
[tex]\displaystyle a = 14.9 , \ b = 71^\circ , \ c = 25.5[/tex]

∴ we have completed the expression using Law of Sines.

---

Topic: Precalculus

Unit: Trigonometry

SOMEONE PLEASE HELP MEEE !!!

Answers

Answer:

see explanation for answers

Step-by-step explanation:

prism = 12*4 + 5*4 + 12*4 + 5*4 + 12*5 + 12*5 = 256 ft²

lateral surface area of pyramid = 4*1/2*5*5 = 50 ft²

area of square base of the pyramid = 5*5 = 25 ft²

total exposed surface area of the figure = 256 + 50 - 25 = 281 ft²

What is the value of x?

Answers

Answer:

4

Step-by-step explanation:

LJK is a special right triangle with angle measures of 90° 60° 30°

If the side length of hypotenuse is 8√2 the side length that sees 30° would be half of it so it's 4√2

LMJ is a special right triangle with angles 90° 45° 45° and if the side length of hypotenuse is 4√2 the the value of equal sides would be 4

a rectangular sheet of paper dimentions 44 cm x 18 cm is rolled along its length and cylinder is formed . find voloume of cylinder so formed

Answers

Answer:

1134cm³

Step-by-step explanation:

rolled along the length means the length becomes the height of the cylinder.

length of rectangle = height of cylinder= 44 cm

breadth of rectangle = circumference of top and bottom circles = 18 cm

to find radius = 2πr = 18

2 * 22/7 *r = 18

22/7r = 18/2

22/7r = 9

r = 9*7/22

r= 63/22

Volume of cylinder formula = πr²h

= 22/7 * 63/22 * 63/22 *44

= 63 * 18

= 1134 cm³

(We cannot take it as a hollow cylinder because a rectangular sheet can only have one radius)

Hope this helps you!

Please please help!!!!

Which ordered pair is a solution of this
equation?
3x - 7y = 28
Click on the correct answer
A.
(-4,1)


B.
(0,-4)


C.
(-4,0)


D.
(1,-4)

Answers

I believe the answer is B, I substituted it in and it was 3(0) - 7(-4) = 28
0+28=28
28=28
The answer is B
First you plug in 0 for x and 3(0) is 0 so you are left with -7y = 28 so you solve that 28/-7 is -4. Then you plug that back into your original equation
3x -7(-4) = 28
3x + 28 = 28
-28. -28
3x = 0
Divide by 3
X= 0
y = -4
(0,-4)

what are the zero's f(x)=(x-3)(x+8)

Answers

Answer:

-8, 3

Step-by-step explanation:

[tex]f(x) = (x - 3)(x + 8) \\ plug \: f(x) = 0 \\ (x - 3)(x + 8) = 0 \\ x - 3 = 0 \: or \: x + 8 = 0 \\ x = 3 \: or \: x = - 8 \\ \therefore \: - 8, \: 3 \: are \: zeros \: [/tex]

CAN SOMEONE PLEASE HELP(IM BAD AT MATH)

Answers

Answer:

C

Step-by-step explanation:

like I said, find the square area and subtract the triangles.

28 x 28= 784

Find the dimensions of the triangles. Since the surrounding shape is a square, the legs should be equal in length.

28-11.6=16.4

16.4/2=8.2

8.2 is the leg's length.

8.2*8.2*1/2*4=134.48

Subtract it to the square's area. 784-134.48= 649.52

Now round!

You get C

compare: 6/11 to 5/9 which one is greater

Answers

Answer:

5/9 is greater

Step-by-step explanation:

Answer:

5/9

Step-by-step explanation:

Find the interest when the interest is 4.5 times the principal, the principle is p and the time period is 13.5 years


Plz help!!!!​

Answers

Answer: Interest will be 3%

Step-by-step explanation:

4.5x = x * r * 13.5

4.5x = 13.5x*r

r = 13.5x/4.5x = 3%

Answer:

Interest will be 3%

Step-by-step explanation:

4.5x = x * r * 13.5

4.5x = 13.5x*r

r = 13.5x/4.5x = 3%

Thank you!

The price of a vase was increased by 4% to £22. What was the price before the increase? Give your answer to the nearest penny.

Answers

Answer:

The price before the increase was £21.20

Step-by-step explanation:

Now, let the former price before the increment be £x

The increment would be 22-x

Mathematically, the percentage increment = difference between the prices/old price * 100%

Thus, we have(

(22-x)/x * 100 = 4

100(22-x) = 4x

2200-100x = 4x

100x + 4x = 2200

104x = 2200

x = 2200/104

x = 21.154

which is x = 21.2 to the nearest penny

Answer:

21.15

Step-by-step explanation:

22 × 10 = 220

100%+4%=104

104 ÷ 10 = 10.4

220 ÷ 10.4 =21.15384615

To the nearest penny it would be 21.15

Benjamin has 3 gallons of punch. He adds another 1··2gallon of juice to the punch. How many gallons of punch does he have now? How many cups? Explain your reasoning.

Answers

Answer:

4.2 gallons

67.2 cups

Step-by-step explanation:

He had 3 gallons of punch.

He added another 1.2 gallons.

The number of gallons of punch he has now is:

3 + 1.2 = 4.2 gallons

1 gallon = 16 cups

=> 4.2 gallons = 4.2 * 16 = 67.2 cups

He has 67.2 cups

A vegetable garden measures 20m x 30m. He wants to double the area by adding a strip of ground around the outside. How wide should the strip be?

Answers

Answer:

Step-by-step explanation:


If 0 < f ≤ 90 and cos(22f − 1) = sin(7f + 4), what is the value of f?

f = 3
f = 4
f = 5
f = 6

Answers

Answer:

f = 3

Step-by-step explanation:

Given the equation cos(22f − 1) = sin(7f + 4), the following steps must be followed in order to get the value of f;

From the trigonometry identity, sin(90-theta) = cos theta.

cos(22f-1) = sin (90-(22f-1))

cos(22f-1) = sin (90-22f+1)

cos(22f-1) = sin (91-22f)... 3

substituting eqn 3 into the original equation given, we will have;

sin (91-22f) = sin(7f + 4)

91-22f = 7f+4

7f+22f = 91-4

29f = 87

f = 87/29

f = 3

A correct option is an option (a)

Given function is,

[tex]cos(22f-1) = sin(7f + 4)[/tex]

As we know the relation,

[tex]cosx=sin(90-x)[/tex]

Now, apply the above relates to the given function.

[tex]cos(22f − 1) = sin(7f + 4)\\sin(90-(22f-1))=sin(7f + 4)\\90-22f+1=7f+4\\-22f-7f=4-91\\-29f=-87\\f=3[/tex]

So, the required value is [tex]f=3[/tex]

Read More:https://brainly.com/question/16638358

Which angles are corresponding angles?
Check all that apply.
8
4
7
3
6
2
O A. 6 and 3
B. 1 and 6
C. 1 and 3
D. 5 and 7
I E. 6 and 8
F. 7 and 2

Answers

The correct answer are C. D. and E.

If the temperature is 20c what is it in Fahrenheit.

Answers

Answer:

The answer is 68 degrees Fahrenheit.

Step-by-step explanation:

The equation to convert Celsius to Fahrenheit is (C × 9/5) + 32.

So, first we calculate Celsius times 9/5.  20×9/5 = 36.

Then, we add 36 and 32 together.  36+32= 68

So, 68 is your answer.

En una granja se observa que por 12 patos hay 5 gallinas, por tres gallinas hay 8 pavos ;por 10 pavos hay 9 cerdos. ¿A cuantos patos equivalen 7 cerdos?

Answers

Answer:

7 ducks equals 7 pigs.

Step-by-step explanation:

English Translation

On a farm it is observed that for 12 ducks there are 5 chickens, for three chickens there are 8 turkeys, for 10 turkeys there are 9 pigs. How many ducks equals 7 pigs?

Solution

For 12 ducks, there are 5 chickens

12 ducks = 5 chickens

For 3 chickens, there are 8 turkeys

3 chickens = 8 turkeys

For 10 turkeys, there are 9 pigs

10 turkeys = 9 pigs

We first need to create a direct relationship between ducks and pigs to know how many ducks are equivalent to 7 pigs.

9 pigs = 10 turkeys

8 turkeys = 3 chickens

10 turkeys = (10×3/8) chickens = 3.75 chickens

Hence, 9 pigs = 10 turkeys = 3.75 chickens

9 pigs = 3.75 chickens.

12 ducks = 5 chickens

5 chickens = 12 ducks

3.75 chickens = (3.75×12/5) ducks = 9 ducks.

9 pigs = 3.75 chickens = 9 ducks

9 pigs = 9 ducks.

Hence, 7 pigs = 7 ducks too.

Hope this Helps!!!

Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!!

Answers

Answer:

see below

Step-by-step explanation:

(x + 1.5)² - 2.25 - 28 = 0

(x + 1.5)² - 30.25 = 0

(x + 1.5)² = 30.25

A cube has an edge length of 7 inches. What is its volume, in cubic inches?

Answers

Answer:

343 cubic inches

Step-by-step explanation:

7 times 7 times 7 is 343

I'm in summer school and need help. The situation that is best modeled by a discrete graph is
the daily records of the distance of each hotel from home during a cross-country trip.
the height of a wave over time.
the speed of a motorcycle over the distance it travels.
the body temperature of an athlete during a workout.

Answers

Answer:

A. The daily records of the distance of each hotel from home during a cross country trip.

Step-by-step explanation:

A discreet graph is one that is composed of unconnected, "scattered" points. The best option is A because B,C and D would all be graphed to show the increase or decrease in values, (function) while the distances of the hotels are not something that you would have to measure!

Answer:

A

Step-by-step explanation:

Because I have big brain and also y’all know what edge is I got it correct

turn 3/25 to standard form​

Answers

Answer:

1.2 x 10^-1 or 12x10^-2

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