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3 years ago

The perimeter of the triangle is 34 cm. Solve for x.

Mathematics

2 answers:

Anika [276]3 years ago

7 0

Answer:

x=6

Step-by-step explanation:

The first thing you do is combine all the equations.

$(x-3)+(x-3)+(5x-2)=34\\7x-8=34\\7x=42\\x=6\\$

Now, with some quick algebra, you got it!

Musya8 [376]3 years ago

3 0

5x-2+x-3+x-3 = 34
7x-8 = 34
7x/7 = 42/7
x = 6

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Read 2 more answers

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Ghella [55]

You can use the definition:

$\displaystyle f'(x) = \lim_{h\to0}\frac{f(x+h)-f(x)}h$

Then if

$f(x) = 2x^2+3x-2$

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$f(x+h) = 2(x+h)^2+3(x+h) - 2 = 2x^2 + 4xh+2h^2+3x+3h-2$

Then the derivative is

$\displaystyle f'(x) = \lim_{h\to0}\frac{(2x^2+4xh+2h^2+3x+3h-2)-(2x^2+3x-2)}h \\\\ f'(x) = \lim_{h\to0}\frac{4xh+2h^2+3h}h \\\\ f'(x) = \lim_{h\to0}(4x+2h+3) = \boxed{4x+3}$

I'm guessing the second part of the question asks you to find the tangent line to f(x) at the point a = 0. The slope of the tangent line to this point is

$f'(0) = 4(0) + 3 = 3$

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Use the point-slope formula to get the equation of the tangent line:

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

y + 2 = 3x

y = 3x - 2

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