Answer:
![A=2\sqrt{14}\ units^2](https://tex.z-dn.net/?f=A%3D2%5Csqrt%7B14%7D%5C%20units%5E2)
Step-by-step explanation:
we know that
Heron's Formula is a method for calculating the area of a triangle when you know the lengths of all three sides.
so
![A=\sqrt{s(s-a)(s-b)(s-c)}](https://tex.z-dn.net/?f=A%3D%5Csqrt%7Bs%28s-a%29%28s-b%29%28s-c%29%7D)
where
a, b and c are the length sides of triangle
s is the semi-perimeter of triangle
we have
![a=5\ units,b=6\ units,c=3\ units](https://tex.z-dn.net/?f=a%3D5%5C%20units%2Cb%3D6%5C%20units%2Cc%3D3%5C%20units)
<em>Find the semi-perimeter s
</em>
s=![\frac{5+6+3}{2}=7\ units](https://tex.z-dn.net/?f=%5Cfrac%7B5%2B6%2B3%7D%7B2%7D%3D7%5C%20units)
Find the area of triangle
![A=\sqrt{7(7-5)(7-6)(7-3)}](https://tex.z-dn.net/?f=A%3D%5Csqrt%7B7%287-5%29%287-6%29%287-3%29%7D)
![A=\sqrt{7(2)(1)(4)}](https://tex.z-dn.net/?f=A%3D%5Csqrt%7B7%282%29%281%29%284%29%7D)
![A=\sqrt{56}\ units^2](https://tex.z-dn.net/?f=A%3D%5Csqrt%7B56%7D%5C%20units%5E2)
simplify
![A=2\sqrt{14}\ units^2](https://tex.z-dn.net/?f=A%3D2%5Csqrt%7B14%7D%5C%20units%5E2)
Answer:
7 and -7
Step-by-step explanation:
Answer:
![\frac{x^2+2x}{x-3}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2%2B2x%7D%7Bx-3%7D)
Step-by-step explanation:
We need to factor out numerator and denominator in order to simplify the rational expression by cancelling common factors.
Numerator : x^3 - 4 x = x (x^2 - 4) = x (x - 2) (x + 2)
Denominator (factoring by grouping):
x^2 - 5 x + 6 = x^2 - 3 x - 2 x + 6 = x (x - 3) - 2 (x - 3) = (x - 3) (x - 2)
Then we can cancel out the common factor (x - 2) in both numerator and denominator, leading to:
x (x + 2) / (x - 3) = (x^2 + 2)/ (x-3)
![\frac{x^2+2x}{x-3}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2%2B2x%7D%7Bx-3%7D)
Since that is a triangle the expression would be b x h / 2. So 12*12 = 144 / 2 = 72. The answer is 72.
For this problem, you're finding volume. The expression for volume is l•w•h (length times width times height).