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Nadusha1986 [10]
3 years ago
8

-2(x+7)= x-34+2x i need the steps

Mathematics
1 answer:
Anettt [7]3 years ago
8 0

♡ The Question ♡      

・-2 (x + 7) = x -34 + 2x

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*  

* ♡ The Answer ♡      

・x = 4

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*      

♡ The Explanation/Step-By-Step ♡      

・-2 (x + 7) = x -34 + 2x

-2 (x + 7) = x + 2x - 34

-2 (x + 7) = 3x - 34

-2 (x + 7) : -2x - 14

-2 (x + 7)

Apply the distributive law! : a(b + c) = ab + ac

a = -2, b = x, c = 7

= -2 + (-2) x 7

Apply minus (-) plus rules!

+ (-a) = -a

= -2x - 2 x 7

Multiply the numbers! : 2 x 7 = 14

= -2x - 14

-2x - 14 = 3x - 34

Add 14 to both sides!

-2x - 14 + 14 = 3x - 34 + 14

Simplify!

-2x = 3x - 20

Subtract 3x from both sides!

-2x - 3x = 3x - 30 - 3x

Simplify!

-5x = -20

Divide both sides by -5!

-5x/-5 = -20/-5

Simplify! : -5x/-5 : x

Apply the fraction rule! : -a/-b = a/b

= 5x/5

Divide the numbers! : 5/5 = 1

= x

Simplify! : -20/-5 : 4

-20/-5

Apply the fraction rule! : -a/-b = a/b

= 20/5

Divide the numbers! 20/5 = 4

= 4

x = 4

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*      

*♡ Tips ♡      

・No tips provided!

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Express answer in exact form.
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Step 1. Calculate the diameter of the circle (d).
Step 2. Calculate the radius of the circle (r).
Step 3. Calculate the area of the circle (A1).
Step 4. Calculate the area of the square (A2).
Step 5. Calculate the difference between two areas (A1 - A2) and divide it by 4 (because there are total 4 segments) to get <span>the area of one segment formed by a square with sides of 6" inscribed in a circle.
</span>
Step 1:
The diameter (d) of the circle is actually the diagonal (D) of the square inscribed in the circle. The diagonal (D) of the square with side a is:
D = a√2            (ratio of 1:1:√2 means side a : side a : diagonal D = 1 : 1 : √2)
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Step 2.
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Step 3.
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Step 4.
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A2 = a²
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Step 5:
(A1 - A2)/4 = (56.52 - 36)/4 = 20.52/4 =  5.13 in²
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