Answer:
28 square meters
Step-by-step explanation:
7 x 4= 28
28 square meters
Answer:
Hyperbola:
![x^2-y^2-8x+6y-1=0](https://tex.z-dn.net/?f=x%5E2-y%5E2-8x%2B6y-1%3D0)
Step-by-step explanation:
the given hyperbola has equation:
![x^2-y^2=8](https://tex.z-dn.net/?f=x%5E2-y%5E2%3D8)
This is an equation of a hyperbola centered at the origin.
This hyperbola is translated so its center is now at T(4,3)
![(x-4)^2-(y-3)^2=8](https://tex.z-dn.net/?f=%28x-4%29%5E2-%28y-3%29%5E2%3D8)
We expand to get:
![x^2-8x+16-(y^2-6y+9)=8](https://tex.z-dn.net/?f=x%5E2-8x%2B16-%28y%5E2-6y%2B9%29%3D8)
![x^2-8x+16-y^2+6y-9=8](https://tex.z-dn.net/?f=x%5E2-8x%2B16-y%5E2%2B6y-9%3D8)
![x^2-8x-y^2+6y+7=8](https://tex.z-dn.net/?f=x%5E2-8x-y%5E2%2B6y%2B7%3D8)
![x^2-8x-y^2+6y+7-8=0](https://tex.z-dn.net/?f=x%5E2-8x-y%5E2%2B6y%2B7-8%3D0)
![x^2-y^2-8x+6y-1=0](https://tex.z-dn.net/?f=x%5E2-y%5E2-8x%2B6y-1%3D0)
Answer:
Uranium-234 is an isotope of uranium. In natural uranium and in uranium ore, U-234 occurs as an indirect decay product of uranium-238, but it makes up only 0.0055% (55 parts per million) of the raw uranium because its half-life of just 245,500 years is only about 1/18,000 as long as that of U-238.
Step-by-step explanation:
Answer:
![\large\boxed{\dfrac{1}{x^2}+x^2=23}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%5Cdfrac%7B1%7D%7Bx%5E2%7D%2Bx%5E2%3D23%7D)
Step-by-step explanation:
![\left(\dfrac{1}{x}+x\right)^2=25\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\\left(\dfrac{1}{x}\right)^2+2(x\!\!\!\!\diagup)\left(\dfrac{1}{x\!\!\!\!\diagup}\right)+x^2=25\\\\\dfrac{1}{x^2}+2+x^2=25\qquad\text{subtract 2 from both sides}\\\\\dfrac{1}{x^2}+x^2=23](https://tex.z-dn.net/?f=%5Cleft%28%5Cdfrac%7B1%7D%7Bx%7D%2Bx%5Cright%29%5E2%3D25%5Cqquad%5Ctext%7Buse%7D%5C%20%28a%2Bb%29%5E2%3Da%5E2%2B2ab%2Bb%5E2%5C%5C%5C%5C%5Cleft%28%5Cdfrac%7B1%7D%7Bx%7D%5Cright%29%5E2%2B2%28x%5C%21%5C%21%5C%21%5C%21%5Cdiagup%29%5Cleft%28%5Cdfrac%7B1%7D%7Bx%5C%21%5C%21%5C%21%5C%21%5Cdiagup%7D%5Cright%29%2Bx%5E2%3D25%5C%5C%5C%5C%5Cdfrac%7B1%7D%7Bx%5E2%7D%2B2%2Bx%5E2%3D25%5Cqquad%5Ctext%7Bsubtract%202%20from%20both%20sides%7D%5C%5C%5C%5C%5Cdfrac%7B1%7D%7Bx%5E2%7D%2Bx%5E2%3D23)