Answer: x = 9.611 ; or ; x = 9 11/18 .
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Explanation:
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All angles of any triangle must add up to 180 degrees.
So, (10x - 4) + (8x + 3) + 91 = 180 ; Solve for "x" ;
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10x - 4 + 8x + 3 + 81 = 180 ;
Combine the "like terms" on the left-hand side of the equation:
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+10x + 8x = 18x ;
- 4 + 3 + 8 = 7 ;
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18x + 7 = 180 ;
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Subtract "7" from each side of the equation:
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18x + 7 - 7 = 180 - 7 ;
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to get:
18x = 173 ;
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Divide EACH side of the equation by "18" ; to isolate "x" on one side of the equation; and to solve for "x" ;
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18x / 18 = 173 / 18 ;
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x = 9.6111111111111111....
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Write as: 9.611 ; or; 9 11/18.
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Answer:
4
Step-by-step explanation:
set
constrain:
Partial derivatives:
Lagrange multiplier:
![\left[\begin{array}{ccc}1\\1\end{array}\right]=a\left[\begin{array}{ccc}2x\\2y\end{array}\right]+b\left[\begin{array}{ccc}3x^2\\3y^2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%5C%5C1%5Cend%7Barray%7D%5Cright%5D%3Da%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2x%5C%5C2y%5Cend%7Barray%7D%5Cright%5D%2Bb%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3x%5E2%5C%5C3y%5E2%5Cend%7Barray%7D%5Cright%5D)
4 equations:
By solving:
Second mathod:
Solve for x^2+y^2 = 7, x^3+y^3=10 first:
The maximum is 4
Let x be the first number each pair and y is the second of each
As you see 1x is 3y
And. 2x is 3*3y= 9y
3x = 3*3*3y= 27y
Last 4x =3*3*3*3y= 81y
So y = 3^x
Answer:
Step-by-step explanation:
A straight line adds up to 180 degrees, therefore 3x+6x = 180
9x = 180
x = 20
