Given:
![f(x)=\sqrt[]{5x^2-2}](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%5B%5D%7B5x%5E2-2%7D)
f(X) will be differentiated by chain rule.
![\begin{gathered} f^{\prime}(x)=\frac{1}{2\sqrt[]{5x^2-2}}\lbrack5(2x)\rbrack \\ f^{\prime}(x)=\frac{5x}{\sqrt[]{5x^2-2}} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20f%5E%7B%5Cprime%7D%28x%29%3D%5Cfrac%7B1%7D%7B2%5Csqrt%5B%5D%7B5x%5E2-2%7D%7D%5Clbrack5%282x%29%5Crbrack%20%5C%5C%20f%5E%7B%5Cprime%7D%28x%29%3D%5Cfrac%7B5x%7D%7B%5Csqrt%5B%5D%7B5x%5E2-2%7D%7D%20%5Cend%7Bgathered%7D)
Answer: x = 9/4, y = 7/6
║<span>2x + 3y = 8
</span>║<span>4x - 6y = 2
</span>║4x + 6y = 16
║4x - 6y = 2
Add both equations together:
8x = 18
x = 9/4
Sub x = 9/4 into 2x + 3y = 8
2(9/4) + 3y = 8
9/2 + 3y = 8
3y = 7/2
y = 7/6
Answer:
6.2 meters
Step-by-step explanation:
Use pythagorean theorem to find b:
b = √(2.8² - 2.7²) = √0.55 = 0.7 (nearest tenth)
Perimeter of triangle = sum of all its sides = 2.8 + 2.7 + 0.7
Perimeter = 6.2 meters
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Step-by-step explanation:
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