Find the solution of the system of equations.

6x+y=30

−2x−5y=18

Answer:

63+38=101

Step-by-step explanation:

Answer:

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Identity:

An identity is an equality which is true for all values of a variable in the equality.

(a + b)³ = a³+ b³+ 3ab(a + b)

In an identity the right hand side expression is called expanded form of the left hand side expression.

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Solution:

(i) (2x + 1)³

Using identity

(a + b)³ = a³+ b³+ 3ab(a + b)

(2x + 1)³

= (2x)³ + 1³ + (3×2x×1)(2x + 1)

= 8x³+ 1 + 6x(2x + 1)

= 8x³ + 1 + 12x² + 6x

(ii) (2a – 3b)³

Using identity,

(a – b)³ = a³–b³ – 3ab(a – b)

(2a – 3b)³ = (2a)³– (3b)³ – (3×2a×3b)(2a – 3b)

=8a³–27b³–18ab(2a –3b)

= 8a³–27b³–36a²b + 54ab²

(iii) [3x/2  + 1]³

Using identity,

(a + b)³ = a³+ b³+ 3ab(a + b)

[3x/2 +1]³

=(3x/2)³+1³+ (3×(3x/2)×1)(3x/2+ 1)

=27x³/8+1+9/2x×(3x/2+1)

= 27x³/8 + 1 + 27/4 x² + 9/2x

= (27/8)x³ + (27/4) x² + 9/2 x + 1

(iv) [x–2/3 y]³

Using identity,

(a - b)³=a³-b³-3ab(a-b)

(X+ 2/3y)³

= (x)³–(2/3 y)³– (3×x×2/3 y)(x – 2/3 y)

= x³– 8y³/27–2xy(x – 2/3 y)

= x³– (8/27)y³–2x²y+ 4/3xy²

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Hope this will help you....

Step-by-step explanation:

Answer:

Corresponding

Co-interior

None

Alternate exterior

Alternate interior

Corresponding

Answer:

1) not parallel

2)not parallel

Step-by-step explanation:

fist one intersect already

and second one will eventually intersect

Answer:

1 - Perpendicular.

2 - Neither.

Step-by-step explanation:

Use the slop formula to find the slope of the two sides.

[tex]m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

[tex]JK = \frac{4-9}{7-1} = \frac{-5}{6}[/tex]

[tex]LM = \frac{1-13}{-2-8} = \frac{-12}{-10} = \frac{6}{5}[/tex]

Perpendicular - because a line that is perpendicular to another must have a slope that is the negative reciprocal of the first line.

[tex]JK = \frac{6-(-5)}{2-13} = \frac{11}{-11} = 1[/tex]

[tex]LM = \frac{-2-(-5)}{-4-(-1)} = \frac{3}{-3} = -1[/tex]

Not Parallel. Nor perpendicular.

Answer: = -cd^2 - 4c - 21

Step-by-step explanation:

It‘s suppose to read negative cd the 2 is squared - 4c - 21

9514 1404 393

Answer:

  3.61 seconds

Step-by-step explanation:

The bird starts 50 feet in the air, so will come down to a height of 40 feet after 3.61 seconds.

We want to solve h = 40.

  40 = -16t^2 +55t +50

  16t^2 -55t -10 = 0

  t = (55 +√(55^2 -4(16)(-10)))/(2(16)) = (55 + √3665)/32 ≈ 3.61060

The bird will be 40 ft above the ground the first time after about 3.61 seconds.

Answer:

x=32

Step-by-step explanation:

52=whatever angle x+20 is.

Answer:

I have no idea what ur saying

Step-by-step explanation:

Answer:

bc=-4

Step-by-step explanation:

4x -1 is -4. because your adding a negative and a positive

Answer:

-4

Step-by-step explanation:

thats the answer

Answer:

114

Step-by-step explanation:

those angles are supplementary meaning that they will add up to 180. 180-66=114 so x=114

Answer:

#6:10

Step-by-step explanation:

Answer:

#9 is x=14

#7 is C 138

#6 is x=10

#5 is p=40

Answer:

For the first one the answer is the 2nd and 3rd one

Step-by-step explanation:

the 2nd one is the 2nd and 3rd one

make brainliest please

I hope i am rigth

Answer:

Step-by-step explanation:

1. P = (width + lengh) * 2 = (23 + 10) * 2 = 33 * 2 = 66

  A = width * lengh = 23 * 10 = 230

2. width = 7

 P = (width + lengh) * 2 = ( 7 + 9) * 2 = 16 * 2 = 32

Answer:

4. area= 230cm^2 perimeter= 66cm

5. width= 7m  perimeter= 32m

Step-by-step explanation:

4. a = w*l

23cm*10cm=230cm^2

p= add all sides

23cm+23cm+10cm+10cm=66cm

5. w= a/l

63m^2/9m=7m

p= add all sides

7m+7m+9m+9m=32m

47. my answer needs to be at least 20 characters long there u go

Answer:

49

Step-by-step explanation:

77+49 = 124

Answer:

Infinitely many solutions.

Step-by-step explanation:

4v=6v-2v  Combine like terms.

4v=4v       These are already equal without diving, so there are infinitely many solutions.

Hope this helps and have a nice day ❤

Answer:

Infinitely many solutions

Step-by-step explanation:

4v=6v-2v

4v=4v

when two expressions on opposite sides of an equals sign are equivalent, that means there are infinitely many solutions

P.S. Please mark me Brainliest if it is correct.

Answer:

6/12 but to simplify it would be 1/2

Answer:

[tex]\frac{2}{3} *\frac{3}{4}[/tex]       = 1/2

Step-by-step explanation:

2/3 * 3/4

6/12=1/2

Answer:

D.540

if im wrong sorry

Step-by-step explanation:

Answer:

d.

Step-by-step explanation:

Answer:

option c I guess - "It increases exponentially "

The expression (56x + 24) / 8 is equivalent to the expression will be 7x + 3. Then the correct option is F.

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ (56x + 24) / 8

Simplify the expression, then we have

⇒ (56x + 24) / 8

⇒ (56/8)x + 24/8

⇒ 7x + 3

The expression (56x + 24) / 8 is equivalent to the expression will be 7x + 3. Then the correct option is F.

More about the equivalent link is given below.

https://brainly.com/question/889935

#SPJ5

An expression equivalent to 56x + 24 divided by 8 is 3x+7. So, option F. is correct.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given the following expression:

56x + 24

It is required to divide the given expression by 8,

Thus, dividing the expression by 8 as follows:

[tex]\dfrac{56x+24}{8}\\\\\dfrac{56x}{8}+\dfrac{24}{8}\\\\7x+3[/tex]

Thus, 3+7x is the expression equivalent to 56x + 24 divided by 8. So, option F is correct.

Learn more about mathematical operation, here:

https://brainly.com/question/20628271

#SPJ6

Answer:

1 5/12

Step-by-step explanation:

decimal form, 1.416

Answer:

3 1/4 + 2 1/3 = 67/

12

= 5 7/

12

≅ 5.5833333

Step-by-step explanation:

Answer:

its the last one & the 3rd one.

hope that helps

Answer:

B

Step-by-step explanation:

I did it on paper

Answer:

In 1763, Canada formally became part of British Empire. The colony of Canada was enlarged under the province of Quebec.

Step-by-step explanation:

Modern day Canadian province was once British Colony. In 1949, Newfoundland became part of Canada instead of British Colony. The information presented in the movie is about the British Empire that governed the Canadians. After the free from British rule Canada was free to act in his own way in the country. The country also gained financial independence.

Answer:

B. Multiply 8 by 4 is the answer

Given:

[tex]\dfrac{1}{4}\text{ to }\dfrac{1}{2}[/tex]

To find:

The percent of change, round to the nearest 10th of a percent.

Solution:

We have,

Initial value = [tex]\dfrac{1}{4}[/tex]

New value = [tex]\dfrac{1}{2}[/tex]

We know that, the percentage change is

[tex]\%\text{ change}=\dfrac{\text{New value - Initial value}}{\text{Initial value}}\times 100[/tex]

Putting the given values, we get

[tex]\%\text{ change}=\dfrac{\dfrac{1}{2}-\dfrac{1}{4}}{\dfrac{1}{4}}\times 100[/tex]

[tex]\%\text{ change}=\dfrac{\dfrac{2-1}{4}}{\dfrac{1}{4}}\times 100[/tex]

[tex]\%\text{ change}=\dfrac{\dfrac{1}{4}}{\dfrac{1}{4}}\times 100[/tex]

[tex]\%\text{ change}=1\times 100[/tex]

[tex]\%\text{ change}=100\%[/tex]

Here, the % change is positive, it represents the percent increase.

Therefore, the percent of change is 100% of increase.

Answer:

41 dollars

Step-by-step explanation:

3r+2.5p is the cost of roses and petunias, just  number of roses as r and petunias as p:

3(7) + 2.5(8)=

21+20=41 dollars

Answer:

height of cylinder =3m

circumference =22m

curved surface area=2×pi×radius×height

curved surface area =22m×3m

curved surface area =66m²

Answer:

(-∞,∞) is your answer sorry if it looks like a face

Step-by-step explanation:

Answer:

1 3/15

Step-by-step explanation:

All you have to do is add 3/15 to both sides of the equation:

b - 3/15 = 1

b = 1 3/15