Answer:
That's two half lives. 5/8 * 2 * 2 = 20/8 = 5/2 pounds7/8 * 2 * 2 = 28/8 = 7/2 pounds
Step-by-step explanation:
Brainliest plz?
Answer:
SA = 156π
Step-by-step explanation:
The formula for surface area of a cylinder is
SA = 2πr² + 2πrh where r is the base radius, and h is the height.
We are given r = 6 and h = 7. Plug in those values and evaluate...
SA = 2π(6²) + 2π(6)(7)
SA = 2π(36) + 2π(42)
SA = 72π + 84π
SA = 156π
ANSWER
A. -3, -2, 2, and 3
EXPLANATION
The given polynomial function is,
![f(x) = {x}^{4} - 13 {x}^{2} + 36](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%7Bx%7D%5E%7B4%7D%20-%2013%20%7Bx%7D%5E%7B2%7D%20%2B%2036)
To find the real roots, we equate the function to zero to obtain;
![{x}^{4} - 13 {x}^{2} + 36 = 0](https://tex.z-dn.net/?f=%7Bx%7D%5E%7B4%7D%20-%2013%20%7Bx%7D%5E%7B2%7D%20%2B%2036%20%3D%200)
We can solve this equation as a quadratic equation in
![{x}^{2}.](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D.)
Thus we rewrite the equation as,
![({x}^{2})^{2} - 13 {x}^{2} + 36 = 0](https://tex.z-dn.net/?f=%28%7Bx%7D%5E%7B2%7D%29%5E%7B2%7D%20-%2013%20%7Bx%7D%5E%7B2%7D%20%2B%2036%20%3D%200)
We split the middle term to get,
![({x}^{2})^{2} - 9 {x}^{2} - 4 {x}^{2} + 36 = 0.](https://tex.z-dn.net/?f=%28%7Bx%7D%5E%7B2%7D%29%5E%7B2%7D%20-%209%20%7Bx%7D%5E%7B2%7D%20-%204%20%7Bx%7D%5E%7B2%7D%20%2B%2036%20%3D%200.)
We factor to get,
![{x}^{2} ( {x}^{2} - 9) - 4( {x}^{2} - 9) = 0](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%28%20%7Bx%7D%5E%7B2%7D%20-%209%29%20-%204%28%20%7Bx%7D%5E%7B2%7D%20-%209%29%20%3D%200)
We factor to get,
![( {x}^{2} - 9)( {x}^{2} - 4) = 0](https://tex.z-dn.net/?f=%28%20%7Bx%7D%5E%7B2%7D%20-%209%29%28%20%7Bx%7D%5E%7B2%7D%20-%204%29%20%3D%200)
Either
![{x}^{2} - 9 = 0](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20-%209%20%3D%200)
or
![{x}^{2} - 4 = 0](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20-%204%20%3D%200)
![x = \pm \sqrt{9} \: or \: x = \pm \sqrt{4}](https://tex.z-dn.net/?f=x%20%3D%20%5Cpm%20%5Csqrt%7B9%7D%20%5C%3A%20or%20%5C%3A%20x%20%3D%20%5Cpm%20%5Csqrt%7B4%7D%20)
![x = \pm3 \: or \: x = \pm2](https://tex.z-dn.net/?f=x%20%3D%20%5Cpm3%20%5C%3A%20or%20%5C%3A%20x%20%3D%20%5Cpm2)
![x=-3,-2,2,3](https://tex.z-dn.net/?f=x%3D-3%2C-2%2C2%2C3)
The correct answer is A
Answer:
They are identical triangles.
Step-by-step explanation:
Angles in a triangle add up to 180 degrees.
The triangle with 39 and 90 has a missing angle of 51 degrees, and the triangle with 51 and 90 vice versa.