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Consider this system of linear equations:
y- x= -13
-4x + 3y = -51
The solution of the system of equations is
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Step-by-step explanation:

[tex]6 {x}^{2} {y}^{3} - 2x + 10 \\ when \: x = 5 \: y = - 3 \\ 6( {5})\: ^{2} ( { - 3})^{3} - 2(5) + 10 \\ 6 (25)( - 27) - 10 + 10 \\ = - 4050[/tex]

Answer:

[tex] \large{ \tt{❃ \: STEP- BY - STEP \: EXPLANATION}} : [/tex]

[tex] \large{ \tt{❁ \: LET'S \: START}} : [/tex]

[tex] \boxed{ \large{ \bf{❀ \: y -y _{1} = \frac{y_{2} - y_{1} }{x_{2} - x_{1}} (x - x_{1)}}}}[/tex]

- Plug the values :

[tex] \large{ \bf{⇢ \: y - ( - 1) = \frac{4 - ( - 1)}{ - 7 - 4}(x - 4) }}[/tex]

[tex] \large{ \bf{⇢y + 1 = \frac{4 + 1}{ - 11} (x - 4)}}[/tex]

[tex] \large{ \bf{⇢ \: y + 1 = - \frac{5}{11} (x - 4)}}[/tex]

[tex] \large{ \bf{⇢y + 1 = - \frac{5}{11}x + \frac{20}{11} }}[/tex]

[tex] \large{ \bf{⇢y + 1 = \frac{ - 5x + 20}{11} }}[/tex]

[tex] \large{ \bf{⇢11(y + 1) = - 5x + 20}}[/tex]

[tex] \large{ \bf{⇢11y + 11 = - 5x + 20}}[/tex]

[tex] \large{ \bf{⇢5x + 11y + 11 - 20 = 0}}[/tex]

[tex] ⇢ \boxed{\large{ \bold{\bf{5x + 11y - 9 = 0}}}}[/tex]

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[tex]\boxed{The\:value\:of\:x\:is\:7.375.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex](4x - 5)2 = 49 \\ ⇢8x - 10 = 49 \\⇢8x = 49 + 10 \\ ⇢8x = 59 \\ ⇢x = \frac{59}{8} \\ ⇢x = 7.375[/tex]

Therefore, the value of x is 7.375.

[tex]{ \bf{ \underbrace{To\:verify :}}}[/tex]

[tex](4x - 5)2 = 49 \\ ⇢(4 \times 7.375 - 5)2 = 49 \\ ⇢(29 .5 - 5)2 = 49 \\ ⇢24.5 \times 2 = 49 \\ ⇢49 = 49 \\ ⇢ L.H.S.=R. H. S[/tex]

Hence verifed.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Answer:

-23m-18m^4

Step-by-step explanation:

-10m+2m^4-13m-20m^4

(-10m+-13m)+(2m^4-20m^4)

-23m+-18m^4

-23m-18m^4

If this helps please mark as brainliest

Answer:

Step-by-step explanation:

It is a trinomial because the given polynomial has three terms

Answer:

9

Step-by-step explanation:

I'm somewhat confused I think you're forgot to put so more information

The value that makes the inequality n > -8 true will be -2. Thus, the correct option is A.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given below:

n > -8

The value of n is greater than -9. Then the value that makes the inequality n > -8 true will be -2.

Thus, the correct option is A.

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ2

The missing options are given below.

a) - 2

b) - 9

c) - 10

d) - 20

Answer:

370

Step-by-step explanation:

Area of the entire thing is 20*20 = 400

You need to remove the triangle since it's not shaded, so find the area of the triangle and subtract it from the total (total = 400)

Area of triangle:

First find the height using pythagorean theorem

5*12 = 156

Then divide by two: 60/2= 30

400-30 = 370

Answer:

The actual distance between the houses is 18.9 miles.

Step-by-step explanation:

The exact question is as follows :

Given - On a​ map, 1 inch equals 5.4 miles. Two houses are 3.5 inches apart on the map.

To find - What is the actual distance between the​ houses?

Solution -

Given that,

1 inch = 5.4 miles

⇒3.5 inches = 3.5 × 5.4 miles

                 = 18.9 miles

∴ we get

The actual distance between the houses is 18.9 miles.

Answer:

Subtract 1/3 from 2/3 dont forget to add the variable h!

1/3h + 11 = 8

-11            -11

1/3h = -3

Now we multiply by 3 on both sides

H = -9

Answer:

answer is 8

Step-by-step explanation:

take Lcm of 8 and 32

Answer:

8

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Using the rule of exponents

[tex]a^{0}[/tex] = 1

Then

4[tex](57ab)^{0}[/tex] = 1 and

4[tex](57ab)^{0}[/tex] = 4 × 1 = 4

Answer:

4

Step-by-step explanation:

since 57ab has power 0 it is equal to 1

1×4 is 4

Answer:

25

Step-by-step explanation

5 times 5 is 25

(To make problems like this easier just multiply the denominator by the result, take this problem for example, the denominator is 5 and the result is 5 so just multiply those and you get 25)

true true true true true true true

Answer:

false

Step-by-step explanation:

3(3+2)(3-1) is not =0

The factor of n(n+2)(n-1) = 1

Answer:

a₂₇ = -81

Step-by-step explanation:

Given that,

The first term of an AP is, a₁ = 49

8th term of the AP, a₈ = 14

nth term of an AP is given by :

[tex]a_n=a_1+(n-1)d\\\\a_8=49+7d\\\\14=49+7d\\\\7d=-35\\\\d=-5[/tex]

27th term of the AP is given by :

[tex]a_{27}=a_1+26d\\\\=49+26(-5)\\\\=-81[/tex]

So, 27th term of the AP is -81.

Answer:

I think the answer to your question is 12?

Step-by-step explanation:

I hope this helps, have a nice day

Answer:

2

Step-by-step explanation:

A square is a quadrilateral with four equal sides.

Characteristics of a square includes:

• The diagonals bisect each other at 90°.

• Opposite sides parallel and of equal length

• The four angles of a square are equal.

A rhombus is a four sides quadrilateral with the four sides equal in length

The area of a rhombus =  

where p and q are the two diagonals  

Volume of a pyramid = 1/3 x ( length base x height)

f(x) = square root of (-7 + 2) - 6

f(x) =square root of (-5) - 6

f(x) = 2.236 = 2.2 - 6

f(x) = -3.8

F(x) = √x+2 -6

F(x) = √7+2 -6

F(x) = 3-6

F(x) = -3

Answer:

Step-by-step explanation:

21 is the side opposite the angle you want.

67 is the hypotenuse. Those two sides define the Sin

Sin(theta) = opposite / hypotenuse

Sin(theta) = 21 / 67

Sin(theta) = .313432

theta or x = sin-1(0.313432)

x = 18.27

Sorry, I must have hit the wrong key the first time.

Answer:

18.27˚

Step-by-step explanation:

Answer:

8.8

Step-by-step explanation:

Answer:

please provide an image so we know what to solve

4.5

4.5

4.5

4.5

4.5

4.5

4.5

4.5

4.5

Answer:

D. y = -4x - 6

Step-by-step explanation:

→ Work out gradient of line

[tex]\frac{2-6}{-2--3} =\frac{-4}{1} =-4[/tex]

→ Write into y = mx + c format

y = -4x + c

→ Substitute ( -2 , 2 ) into the equation to find c

2 = 8 + c

→ Minus 8 from both sides

-6 = c

→ Write full equation y = -4x - 6

Answer: 1

Step-by-step explanation:

because there not the only ones on the team

Answer:

i don't know

Step-by-step explanation:

can you explain? thank you

Answer:

$11.50

Step-by-step explanation:

Since it's 7 cents to buy 1 print, you do 7 times 50 = 350 cents for 50 prints which is $3.50 so then we do $15.00 - $3.50 = $11.50

Therefore, the remaining balance on the card is $11.50

Please mark my answer as brainliest, it will help a lot.

Answer:

3 and -2

Step-by-step explanation:

xy = -6

x + y = 1

let 'x' = y-1

y(y-1) = -6

y² - y + 6 = 0

(y-3)(y+2) = 0

y = 3 and -2

Answer:

range would be 19

Step-by-step explanation:

Answer:

I have to say -282

Step-by-step explanation:

The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest. The answer gives you the range of the list.

Answer:

The correct answer is "4.5 liters". A further explanation is provided below.

Step-by-step explanation:

Let the solution needed be "x".

then, according to the question,

⇒ [tex]4 \ percent(9)+10 \ percent(x)=6 \ percent(9+x)[/tex]

By solving the above expression, we get

⇒ [tex]0.04\times 9+0.1x=0.06\times 9+0,06\times x[/tex]

⇒                [tex]0.04 x=0.54-0.36[/tex]

⇒                [tex]0.04x=0.18[/tex]

⇒                      [tex]x=\frac{0.18}{0.04}[/tex]

⇒                         [tex]=4.5 \ liters[/tex]