can someone explain please?

Answer:

Step-by-step explanation:

a²+b²-c²+2ab

=a²+b²+2ab-c²

=(a+b)²-c²

=(a+b+c)(a+b-c)

Answer:

[tex]a_{n}[/tex] = 5n - 2

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₄ = 18 , then

a₁ + 3d = 18 , that is

3 + 3d = 18 ( subtract 3 from both sides )

3d = 15 (divide both sides by 3 )

d = 5

Then

[tex]a_{n}[/tex] = 3 + 5(n - 1) = 3 + 5n - 5 = 5n - 2 ← explicit rule

Answer:

1 ticket = $0.50

Step-by-step explanation:

hope this helps and have a great day

pew pew.

Answer:  2 • (y2 + 11y + 14)

Step-by-step explanation:

Changes made to your input should not affect the solution:

(1): "y2"   was replaced by   "y^2".  1 more similar replacement(s).

STEP

1

:

Equation at the end of step 1

 (((8•(y2))+7y)+4)-(3•((2y2-5y)-8))

STEP

2

:

Trying to factor by splitting the middle term

2.1     Factoring  2y2-5y-8  

The first term is,  2y2  its coefficient is  2 .

The middle term is,  -5y  its coefficient is  -5 .

The last term, "the constant", is  -8  

Step-1 : Multiply the coefficient of the first term by the constant   2 • -8 = -16  

Step-2 : Find two factors of  -16  whose sum equals the coefficient of the middle term, which is   -5 .

     -16    +    1    =    -15  

     -8    +    2    =    -6  

     -4    +    4    =    0  

     -2    +    8    =    6  

     -1    +    16    =    15  

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step

2

:

 (((8•(y2))+7y)+4)-3•(2y2-5y-8)

STEP  

3

:

Equation at the end of step

3

:

 ((23y2 +  7y) +  4) -  3 • (2y2 - 5y - 8)

STEP

4

:

STEP

5

:

Pulling out like terms

5.1     Pull out like factors :

  2y2 + 22y + 28  =   2 • (y2 + 11y + 14)  

Trying to factor by splitting the middle term

5.2     Factoring  y2 + 11y + 14  

The first term is,  y2  its coefficient is  1 .

The middle term is,  +11y  its coefficient is  11 .

The last term, "the constant", is  +14  

Step-1 : Multiply the coefficient of the first term by the constant   1 • 14 = 14  

Step-2 : Find two factors of  14  whose sum equals the coefficient of the middle term, which is   11 .

     -14    +    -1    =    -15  

     -7    +    -2    =    -9  

     -2    +    -7    =    -9  

     -1    +    -14    =    -15  

     1    +    14    =    15  

     2    +    7    =    9  

     7    +    2    =    9  

     14    +    1    =    15  

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Answer:

8

Step-by-step explanation:

[tex]5^{2}[/tex]−17

=25−17

=8

Answer:

he have to travel 12 cm/km

Step-by-step explanation:

lets find x by transposing

3x = 2x + 2        (as M is the midpoint)

3x - 2x = 2

x = 2

now put 2 instead of x

3x + 2x +2 =  (distance from friends home to house)

3 (2) + 2 (2) +2

6 + 4 + 2

10 + 2

= 12

Step-by-step explanation: ok do 10 - y2 then it will be 8 so whats left is y divide 8 by 2 and thats the answer for  2y. Reapet this patern for 3z  and all the other questions

hope this helps

Answer:

Step-by-step explanation:

The easiest way (or the most reliable way) is to factor the given number into primes

5400 = 2 * 2 * 2 * 3 * 3 * 3 * 5 * 5

I cheated a little bit. 54 = 2 * 27 which is 2 * 3 * 3 * 3

100 = 2 * 2 * 5 *5

Combine the two parts and you get the factors I gave you.

Now you have to have the numbers go into groups of three. The only adjustment needed is 5 * 5 and one more 5

So the perfect cube is 5400 * 5 = 27000

Does that work? It should

27000^(1/3) = 3 * 10 = 30

So the cube root of 27000 is 30.

Answer:

AC = AB + BC

18 = (2X - 4) + (3X + 2)

18 = 5X - 2 ( add/subtract like terms)

20 = 5X (-2 take over otherside - 18 + 2)

X = 4

SUB X INTO AB AND BC

AB = 2(4) - 4 = 4

BC = 3(4) + 2 = 14

Answer:

[tex]9^4[/tex] = [tex]6561[/tex]

Answer:

[tex] \sqrt{2 + \sqrt{2 + \sqrt{81 + 2 \sqrt{1568} } } } \\ = \sqrt{2 + \sqrt{2 + \sqrt{81 + 2 \times 28 \sqrt{2} } } } \\ = \sqrt{2 + \sqrt{2 + \sqrt{81 + 56 \sqrt{2} } } } \\ = \sqrt{2 + \sqrt{2 + \sqrt{81 + 79.2} } } \\ = \sqrt{2 + \sqrt{2 + \sqrt{160.2} } } \\ = \sqrt{2 + \sqrt{2 + 4 \sqrt{10} } } \\ = \sqrt{2 + \sqrt{2} \sqrt{1 + \sqrt{2} \sqrt{10} } } \\ = \sqrt{2 + \sqrt{2} \sqrt{1 + \sqrt{20} } } \\ = \sqrt{2 + \sqrt{2} \sqrt{1 + 2 \sqrt{5} } } \\ = \sqrt{2 + \sqrt{2} \times \sqrt{5.5} } \\ = \sqrt{2 + \sqrt{11} } \\ = \sqrt{2 + 3.3} \\ = \sqrt{5.3} = 2.3[/tex]

[tex]thank \: you[/tex]

Answer:

Step-by-step explanation:

Start with the inner root:

Move to next one:

The last one:

The root of the last one is:

El kilogramo de harina necesario para hacer 3 1/2 kg de mantequilla para pasteles es 1 2/5 kg

1 kg de mantequilla de bizcocho = 2/5 kg de harina

Deje que la cantidad de kg de harina necesaria para hacer 3 1/2 kg de mantequilla de torta = b

Expresando Matemáticamente:

1 kg = 2/5

1 kg = 2/53 1/2 kg = b

1 = 2/5

3 1/2 = b

Multiplicar en cruz:

b = 3,5 × 0,4

b = 1,4

Por lo tanto, el kilogramo de harina requerido para hacer 3 1/2 kg de mantequilla para pasteles es 1 2/5 kg

Más información: https://brainly.com/question/18112348

Answer:

10 minutes per mile

Step-by-step explanation:

theres no answer soooo i dont think this one is right

Answer:

Step-by-step explanation:

The change in his total score is the sum of the losses -100 + (- 75 ) +(- 85 ) = - (100 + 75 + 85 ) = - 260

Step-by-step explanation:

I think the fig.. will helps you a lot...

Answer:

please I don't understand the questions

Answer:

I cannot be simplified nor solved

Step-by-step explanation:

Yeet

Answer:

D. Slope is 5/4

Step-by-step explanation:

By relation with the general equation of a line:

[tex]{ \boxed{y = mx + c}}[/tex]

m » slope

equation given:

[tex]y = \frac{5}{4} x - \frac{7}{4} [/tex]

therefore, slope is 5/4

Answer:

(c) option is correct

Step-by-step explanation:

answer is 5/4

Answer:

the answer of the following question is d

Perimeter of a shape can be determined by the sum of its individual sides. Thus, the answers to the given questions are:

(a) 360 feet

(b) 240 feet

(c) $1000.0

Perimeter can simply be defined as the sum of all sides of a given figure or shape. Thus, the solutions required can be determined as follows:

(a) Side AB = CA = (7 - 1) x 10 feet

                            = 6 x 10 feet

                            = 60 feet

    Side AD = BC = 13 - 1

                            = 12 x 10 feet

                            = 120 feet

The perimeter of the entire yard = 60 + 120 + 60 + 120

                                                      = 360

Perimeter of the entire yard = 360 feet

(b) Side AB = EF = 60 feet

    Side FA = BE = (7 -1) x 10 feet

                                    = 60 feet

So that,

The perimeter of the backyard = 60 feet x 4

                                     = 240

Perimeter of the backyard = 240 feet

(c) The cost of installing a fence in the entire yard = [tex]\frac{360}{6}[/tex] x $50

                                     = $3000.0

 The cost of installing a fence in the back yard = [tex]\frac{240}{6}[/tex] x $50

                                    = $2000.0

The amount saved by only installing a fence in the back yard = $3000.0 - $2000.0

                                   = $1000.0

Thus, the amount saved by only installing a fence in the back yard is $1000.0

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Answer:

. The actual mass of the object was 9.98 X 10-3 g.

Step-by-step explanation:

yeah

Answer:

7: $26.40

Step-by-step explanation:

I'm only going to give you the direct answer, and number 8 isnt clear.

Answer:

Each bag costs 0.35 cents

Step-by-step explanation:

divide 9.88 by 28 and that gives you the total for each bag of chips

Answer:

Area = 1/2 × product of diagonalsso area = 1/2 × 30 ×16 = 240 cm²

also diagonals bisect each other at right angles so 1/2×30= 15cm,, 1/2× 16 = 8cm

therefore by pythagoras theorem,

[tex] {15 }^{2} [/tex]+ [tex]{8}^{2} [/tex]= [tex] {side}^{2} [/tex][tex] \sqrt{289 = side} [/tex]

side = 17

Perimeter = 4×17 =68 cm.

Answer:

Step-by-step explanation:

[tex]\large \boldsymbol {} \tt Formulas : \\\\d_1^2+d_2^2=4a^2 \\\\S=\dfrac{1}{2} d_1d_2 \\\\ \ where \ S \ is \ the \ area \ of \ the \ rhombus \ ;\\\\\ and \ d_1 \ and \ d_2 \ are \ its \ diagonals \ ; \ and \ a \ , \\\\\\ respectively, \ is\ the \ side \ of\ the rhombus \\\\ then : \\\\ 4a^2=16^2+30^2 \\\\ 4a^2=1156 \\\\a^2=289 \\\\a=17 \ \ then \ P=4a=17*4=\boldsymbol {68} \\\\ \tt S=\dfrac{1}{2} \cdot 30 \cdot 16 =\boldsymbol {240 } \\\\ Answer : S=240 \ ; a=17 \ ; \ P=68 \ ;[/tex]

Explanation:

First we need to find the volume of the cube

volume = length*width*height = 4*4*4 = 64 cubic cm

Then we'll divide the mass over this volume to get the density

density = mass/volume

density = (12 grams)/(64 cm^3)

density = (12/64) grams per cm^3

density = 0.1875 grams per cm^3

The notation cm^3 is another way of saying "cubic centimeter" as shorthand.

Hi! I'm happy to help!

We know that 2y=150, so we can divide both sides by 2 to find the angle of y

2y=150°

÷2  ÷2

y=75°

So, y=75°.

I hope this was helpful, keep learning! :D

Answer:

A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola. Parabolas may open upward or downward and vary in "width" or "steepness", but they all have the same basic "U" shape.

Step-by-step explanation:

Answer:

A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero

Step-by-step explanation: