What are the coefficients for the binomial expansion of (a + b)^3?

Hi there!

[tex]\large\boxed{4x - 2}[/tex]

7x - (3x + 2)

Simplify by distributing the negative sign:

7x - (3x) - (2)

Combine like terms:

4x - 2

Answer:

2(2x - 1)

Step-by-step explanation:

opening the parenthesis and distributing the - sign to both 3x and 2

= 7x - 3x - 2

= 4x - 2

taking 2 common

= 2 (2x - 1)

Answer: 1.68179368533

Step-by-step explanation:

do the square root so 1.68179368533 x 1.68179368533 = 2.82843

Answer:

1.68179368533

Step-by-step explanation:

1.68179368533 is the square root of 2.82843

Answer:

Step-by-step explanation:

I am assuming that by "interior" angle you do not mean the central angle.

This is a 10-sided polygon, a decagon. That means that there are 10 triangles that can extend from the center, with their sides being equal to the radii of the decagon. If we extract one of these triangles we can find what the interior angle is. The vertex angle measures 360/10 which is 36.

Split this triangle in half from the vertex to the base, creating a right triangle. The vertex angle is also split in half, making this angle (the vertex angle is the one at the top of the triangle) 18 degrees. We already know that one angle inside this right triangle is 90 (definition of a right triangle) and to find the other one, we apply the Triangle Angle-Sum Theorem:

180 - 18 - 90 = 72 degrees. That is the measure of the base angle that is NOT the right angle, obviously.

Answer: 540 ft³

Step-by-step explanation:

The volume of pyramids is [tex]\frac{1}{3} Bh[/tex], where:

Therefore, the volume = [tex]\frac{1}{3} (135)(12)=\frac{1}{3}(1620)=\frac{1620}{3} =540[/tex]

Answer:

72 cubes

Step-by-step explanation:

One face of the cube has 12 cubes. A cube has 6 faces, 12 × 6 = 72. (12 cubes × 6 faces = 72 cubes)

Answer:

the second option : 5 1/3

Step-by-step explanation:

the height (h) in such a right-angled triangle is based on the 2 segments of the baseline : 3 and a

h = 4

the formula is h = sqrt(a×b)

with a and b being the baseline segments.

so,

4 = sqrt(3×a)

16 = 3×a

a = 16/3 = 5 1/3

Given:

[tex]\Delta STR\cong \Delta LMN[/tex]

[tex]SR=7b+8[/tex]

[tex]LN=11b-12[/tex]

To find:

The value of b and SR.

Solution:

We have,

[tex]\Delta STR\cong \Delta LMN[/tex]                          (Given)

[tex]ST\cong LN[/tex]                                  (CPCTC)

[tex]ST=LN[/tex]

Substituting the given values, we get

[tex]7b+8=11b-12[/tex]

[tex]7b-11b=-8-12[/tex]

[tex]-4b=-20[/tex]

Divide both sides by -4.

[tex]\dfrac{-4b}{-4}=\dfrac{-20}{-4}[/tex]

[tex]b=5[/tex]

Now,

[tex]SR=7b+8[/tex]

[tex]SR=7(5)+8[/tex]

[tex]SR=35+8[/tex]

[tex]SR=43[/tex]

Therefore, the value of b is 5 and the measure of SR is 43 units.

Answer:

98, 68, 44, 20

Step-by-step explanation:

we can write the other two-digit number as:

a*10 + b

Where both a and b are single-digit numbers.

When we "attach" this at the right of 55, the number that we get is:

5500 + a*10 + b

And this number is divisible by 24 if it is divisible by 3 and 8.

A number is divisible by 8 if the sum of its digits is divisible by 3, then we must have:

5 + 5 + a + b = multiple of 3 = n*3

A number is divisible by 8 if the last 3 digits are divisible by 8, then:

500 + b*10 + a = multiple of 8 = m*8

First we can use the second relation to find the value of b:

500 + b*10 + a = m*8

so we need to find a multiple of 8 that is in the range (500, 599)

for example, if we use:

8*65 = 520

Then we have:

b = 2

a = 0

5504, 5512, 5520, 5528, 5536, 5544, 5552, 5560, 5568, 5576, 5584, 5582, 5590, 5598.

Now we just need to see if these are divisible by 4.

5504:

5 + 5 + 0 + 4 = 14

not divisible by 3.

5512:

5 + 5+ 1 + 2 = 13

not divisible by 13

5520:

5 + 5 + 2+ 0 = 12

divisible by 3, then 20 is a option.

5528:

5 + 5 + 2 + 8 = 20

not divisible by 3

5536:

5 + 5 + 3 + 6 = 19

not divisible by 3

5544:

5 + 5 + 4 + 4 = 18

is divisible by 3, then 44 is a option.

5552:

5 + 5 + 5+ 2 = 17

not divisible by 3

5560:

5 + 5 + 6 + 0 = 16

not divisible by 3

5568:

5 + 5 + 6 +8 = 24

divisible by 3, then 68 is an option

5576:

5 +5 + 7 + 6 = 23

not divisible by 3

5582:

5 +5 + 8 + 2 = 20

not divisible by 3

5590:

5 +5 +9 + 0 = 19

not divisible by 3

5598:

5 + 5 + 9 + 8 = 27

is divisible by 3, thus 98 is an option.

Then the possible options are:

98, 68, 44, 20

Answer:

x-intercept (3 ,0)

y-intercept ( 0, –4)

12x-9y=36 —> 12x-9(0)=36 —> 12x=36

x=36/12 —> x=3 —> So (x,y)=(3,0)

12(0)-9y=36 —> -9y=36 —> y=36/-9

y= –4 —> So (x,y) =(0,–4)

I hope I helped you ^_^

Answer:

E.  [tex]\sqrt{39}[/tex]

Step-by-step explanation:

To find the value of x we can use Euclidian theorem

x^2 = 13x3

x^2 = 39 find the root of both sides

x = [tex]\sqrt{39}[/tex]

Answer:

gdhduu e7urururuuru ryruurhtjtjjr rgrhrhuru3jriir ruruurhrbrb rurrurhr ururururuu44 yryryuruurjbrbr urhruurhhrhrhr hrhrhrhhrhrurhrh ryyru

Answer:

a^(-2/3)

Step-by-step explanation:

(a^2/3)^-1

We know x^y^z = x^(y*z)

a^(2/3*-1)

a^(-2/3)

Answer:

its C, the u looking graph

Step-by-step explanation:

Answer:

1.98*1/8=0.2475

0.2475=0.25

Answer:

m,4+ a+b

Step-by-step explanation:

an exterior angle equals the sum of the 2 opposite interior angles

Answer:

35.2

Step-by-step explanation:

tan(58) = x/22

or, x = 22×tan(58)

or, x = 35.2 (rounded to the nearest tenth)

Answered by GAUTHMATH

Step-by-step explanation:

fng-mrxb-dop p.l.e.a.s.e join

The highest temperature is 8.3, in which we call the max.

The lowest temperature is -8.2, which is the min.

Subtract those values to get the range.

Range = max - min = 8.3 - (-8.2) = 8.3 + 8.2 = 16.5

Answer:

8

Step-by-step explanation:

The maximum area will be a square. Everything else will have a height less than one of the sides of the square.

Use Pythagoras to find the length of the side of the square.

s^2 = 2^2 + 2^2

s^2 = 8

s = 2sqrt(2)

s^2 = 8

the square will have 8 cm^2

Answer:

(Sqrt 3)/2 (5^2) (10) =216.51 in^3

Step-by-step explanation:

Answer:

Amount cubic metres of gravel need = 1.5 cubic meter

Step-by-step explanation:

Given:

Parts

cement = 1 part

sand = 2 parts

gravel = 3 parts

Find:

Amount cubic metres of gravel need

Computation:

Amount cubic metres of gravel need = 3[Part of gravel / Total of all parts]

Amount cubic metres of gravel need = 3[3 / (1+2+3)]

Amount cubic metres of gravel need = 3[3 / 6]

Amount cubic metres of gravel need = 3[0.5]

Amount cubic metres of gravel need = 1.5 cubic meter

Answer:

Assuming that the quality (large vs. small) is the same, and PRICE is the main considerations... The $40 would be a better deal....

This reminds me of the old classic joke (told to me way back when , when I was 5 years old)... Which weighs more a ton of bricks, or a ton of feathers.....

I have to be honest being a five tear old the answer confused me, but I finally

figured it out... THEY BOTH WEIGH THE SAME AMOUNT !!!

Step-by-step explanation:

Mk

Now,

<2 = <3 [ vertically opposite angle]

Then,

<2 = <8 [corresponding angles]

Again,

<2 + <5 = 180° [straight angle]

◆ True A || B

I hope you understand...

Mark me as brainliest...

Answer:

True

Step-by-step explanation:

∠ 2 and ∠ 5 are same- side exterior angles and are supplementary, sum to 180°

Answer:

Pauls answer is not proportional

Step-by-step explanation:

You cannot make more money in an hour than you do in a day.

Hope it helps c:

Answer:

B. Intersection of the lines drawn from each vertex of the triangle and perpendicular to its opposite side

Step-by-step explanation:

The orthocenter of a triangle is the point of concurrency of the three altitudes or extensions of the the altitudes of a triangle, each of which are perpendicular lines drawn from a vertex of the triangle to the side opposite the vertex

The type of concurrent construction needed to find the orthocenter of a triangle is the point of intersection of the perpendicular lines drawn from each vertex of the triangle, to the side opposite the vertex

Therefore, the correct option is option B. intersection of the lines drawn from each vertex of the triangle and perpendicular to its opposite side.

Answer:

x-3

Step-by-step explanation:

y = x+3

Exchange x and y

x = y+3

Solve for y

x-3 = y+3-3

x-3 = y

The inverse is x-3

Answer:

10 years old :)

Answer:

where the problems to answer for it

3 rolls would cost $1.17.

There exists a direct proportion between two values when one exists as a multiple of the other.

In direct proportion, if one quantity exists increased or decreased then the other quantity increases or declines, respectively. But in indirect or inverse proportion, if one quantity increases then the different quantity decreases and vice-versa.

If 7 rolls of tape cost $2.73,

Then 1 roll of tape would cost $2.73/7 = $0.39

Now, the cost of 3 roll of tapes would be 0.39*3 = $1.17

Therefore, at same rate the 3 rolls of tape would cost $1.17.

To learn more about Direct Proportion refer to:

https://brainly.com/question/1266676

#SPJ2

Answer:

AB = 5

BC = 12

AC = 13

Step-by-step explanation:

A rectangle is a quadrilateral and therefore, opposite sides are parallel and congruent to each other. Thus:

AB = CD = 12

AB = 12

BC = AD = 5

BC = 5

AC is a diagonal of the rectangle, use Pythagorean theorem to find it's length as follows:

AC² = AD² + CD²

Plug in the values

AC² = 5² + 12²

AC² = 169

AC = √169

AC = 13

Answer:

Step-by-step explanation:

E2020