Answer:
The solutions are
and ![x=-5-\sqrt{6}](https://tex.z-dn.net/?f=x%3D-5-%5Csqrt%7B6%7D)
Step-by-step explanation:
we have
![2x^{2} +20x=-38](https://tex.z-dn.net/?f=2x%5E%7B2%7D%20%2B20x%3D-38)
Divide by
both sides
------> ![x^{2} +10x+19=0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B10x%2B19%3D0)
we know that
The formula to solve a quadratic equation of the form
is equal to
![x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%28%2B%2F-%29%5Csqrt%7Bb%5E%7B2%7D-4ac%7D%7D%20%7B2a%7D)
in this problem we have
![x^{2} +10x+19=0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B10x%2B19%3D0)
so
![a=1\\b=10\\c=19](https://tex.z-dn.net/?f=a%3D1%5C%5Cb%3D10%5C%5Cc%3D19)
substitute
![x=\frac{-10(+/-)\sqrt{10^{2}-4(1)(19)}}{2(1)}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-10%28%2B%2F-%29%5Csqrt%7B10%5E%7B2%7D-4%281%29%2819%29%7D%7D%7B2%281%29%7D)
![x=\frac{-10(+/-)\sqrt{100-76}}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-10%28%2B%2F-%29%5Csqrt%7B100-76%7D%7D%7B2%7D)
![x=\frac{-10(+/-)\sqrt{24}}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-10%28%2B%2F-%29%5Csqrt%7B24%7D%7D%7B2%7D)
![x=\frac{-10(+/-)2\sqrt{6}}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-10%28%2B%2F-%292%5Csqrt%7B6%7D%7D%7B2%7D)
![x1=\frac{-10(+)2\sqrt{6}}{2}=-5+\sqrt{6}](https://tex.z-dn.net/?f=x1%3D%5Cfrac%7B-10%28%2B%292%5Csqrt%7B6%7D%7D%7B2%7D%3D-5%2B%5Csqrt%7B6%7D)
![x2=\frac{-10(-)2\sqrt{6}}{2}=-5-\sqrt{6}](https://tex.z-dn.net/?f=x2%3D%5Cfrac%7B-10%28-%292%5Csqrt%7B6%7D%7D%7B2%7D%3D-5-%5Csqrt%7B6%7D)
Answer:
I'd say Yev's description is best because it's the most specific to what it actually is in terms of science, while everyone else's descriptions are more like examples of different types and stages of energy, and where it could be found.
Hope this makes sense to ya :)
Answer:
1
Step-by-step explanation:
Answer:
<u>The area of the circular garden is 28.3 square feet</u>
Step-by-step explanation:
Let's recall that the area of a circle is π * r², therefore if the diameter of the circular garden is 6 feet, the area is:
Diameter = 6 feet ⇒ radius = (6/2) = 3 feet
Area of the circular garden = π * 3²
Area of the circular garden = 3.1416 * 9
Area of the circular garden = 28.2744
<u>Area of the circular garden = 28.3 square feet</u>
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