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Irina-Kira [14]
3 years ago
10

If the perimeter of the following triangle is 7x-2, what is the length of the unknown side?

Mathematics
2 answers:
alisha [4.7K]3 years ago
5 0
 unknown side = <span>7x-2 - (3x - 9 + x + 7)
</span> unknown side = 7x - 2 -3x + 9 -x - 7
 unknown side = = 3x 

answer

 unknown side = 3x
AnnZ [28]3 years ago
4 0

perimeter = s+s+s

 so 7x-2 = (3x-9) + (x+7) + ?


3x-9 + x+7 = 4x-2

7x-2 - 4x-2 = 3x


remaining side is 3x

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the population of a town is 9000, and it grows at a rate of 7% per year what will the population be in 6 years
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Answer:

population=12780

Step-by-step explanation:

7% of 9000 is 630

630 times 6 is 3780

9000 plus 3780 is 12780

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Consider the surface defined by the equation x3 + y3 + z3 = 3xyz. Use implicit differ- ∂z entiation to find ∂x. (Note z is not a
Aloiza [94]

Answer:    

   \frac{∂z}{∂x}=\frac{(3yz-3x^{2})}{3z^{2} -3xy}

Step-by-step explanation:

Given equation is x^{3}+y^{3}+z^{3}=3xyz ………………(1)

we use derivative formula \frac{d}{dx}(x^{n})  = n x^{n-1}

\frac{d}{dx}(x^{3)}  = 3 x^{2}

\frac{d}{dx}(z^{3)}  = 3 z^{2}

And also apply 'u v' formula

\frac{d}{dx}(uv})  = u\frac{d}{dx}(v)+v\frac{d}{dx}(u)

Differentiating  equation (1) partially with respective to 'x' , we treated 'y' as constant.

(3x^{2} +0+3z^{2}\frac{∂z}{∂x}) =3y(x\frac{∂z}{∂x}+z(1))   ( here y treated as constant so the derivative of constant function is zero in addition but in multiplication the constant is keep as like 'y').

on simplification , we get

(3x^{2} +0+3z^{2}\frac{∂z}{∂x}) =(3yx\frac{∂z}{∂x}+3yz)

again simplification, we get

3z^{2}\frac{∂z}{∂x}- 3yx\frac{∂z}{∂x}=3yz-3x^{2}

taking common '\frac{∂z}{∂x} on left on side , we get

(3z^{2}- 3yx)\frac{∂z}{∂x}=3yz-3x^{2}

dividing '(3z^{2}- 3yx) on both sides, we get

\frac{∂z}{∂x}=\frac{(3yz-3x^{2})}{3z^{2} -3xy}

<u>Final answer</u>:-

\frac{∂z}{∂x}=\frac{(3yz-3x^{2})}{3z^{2} -3xy}

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3 years ago
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Answer:

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Step-by-step explanation:

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