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Papessa [141]
2 years ago
5

How to solve 6x - 9 - 2 (1 - x) = x + 9​

Mathematics
1 answer:
Likurg_2 [28]2 years ago
7 0

x = 2.857

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}

6x - 9 - 2(1 - x) = x + 9 \\ ⇢ 6x - 9 - 2 + 2x = x + 9 \\ ⇢ 8x - x = 9 + 11 \\ ⇢ 7x = 20 \\ ⇢  x =  \frac{20}{7}  \\ ⇢ x = 2.857

{ \bf{ \underbrace{To\:verify:}}}

6 \times 2.857 - 9 - 2(1 - 2.857) = 2.857 + 9 \\ ➪ \: 17.142 - 9 - 2 \times(  - 1.857) = 11.857 \\➪ \: 8.142 + 3.714 = 11.857 \\➪ \: 11.856 = 11.857 \\  ➪ \: 11.86 = 11.86 \\ ➪ L.H.S.=R. H. S

Hence verified.

\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}

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What is the slope of a line that contains the points (2,-7) and (-1, -6)
Bogdan [553]

Answer:

Slope = - 1/3

Step-by-step explanation:

Y2-Y1 / X2 - X1

8 0
2 years ago
C/- 4 = 16<br> please help
Yuri [45]

Answer:

c = -64

Explanation:

c/(-4) = 16

multiply the equation by -4,

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7 0
2 years ago
Read 2 more answers
———Help pleaseeeee———
Maslowich

Answer:

Slope of line is \pi

Step-by-step explanation:

Given that the company logo has four concentric circles.

To plot the line on the graph take point as ( Diameter, Circumference )

Circumference of a circle is given by C=\pi D

Where D is the diameter.

To draw a line, we need at least two-point.

Now,

Take D=1

Circumference of a circle will be C=\pi D=\pi

Required point is (1,\pi)

Take D=0

Circumference of a circle will be C=\pi D=0 \pi

Required point is (0,0)

The slope of line is given by s=\frac{Y2-Y1}{X2-X1}

Hence,

s=\frac{Y2-Y1}{X2-X1}

s=\frac{0-[tex]\pi}{0-1}[/tex]

s=\frac{[tex]\pi}{1}[/tex]

s=\pi

Thus, Slope of line is \pi

7 0
3 years ago
A triangle has an area of 90 and a height of 10. What is the base
Dima020 [189]
The base would be equal to 18

5 0
3 years ago
Fill in the missing numbers to complete the linear equation that gives the rule for this table.
irakobra [83]

The value of the missing number to complete the linear equation are 31 and -10 respectively.

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

Here the given tables shows the coordinates of the linear equation and to find the equation  we consider any two points let suppose the those two points be (0,-10) and (1,21).

Now using slope formula to find the slope of line m :

m = (y₂-y₁)/ (x₂-x₁)

m = (21-(-10))/(1-0)

m = 31

Let us first find the equation of the line using point-slope equation of line :

(y-y₁) = m(x-x₁)

Substituting all the values in above equation to get the equation of line :

(y-(-10)) = 31(x-0)

(y+10) = 31x

y = 31x - 10

Therefore, the value of the missing number to complete the linear equation are 31 and -10 respectively.

check and know more about slope of line here :

brainly.com/question/14914699

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8 0
9 months ago
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