I think it’s B! not sure tho
Well, 9 is bigger than 1, and the decimal parts can't do
anything to change that, so I guess it must be.
Answer:
On a calculator you would get 120.008264463
other wise know as 120 1/121
Hi there!
![\large\boxed{ \lim_{x \to 0} x^{2} - 2= -2}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%20%5Clim_%7Bx%20%5Cto%200%7D%20x%5E%7B2%7D%20%20-%202%3D%20-2%7D)
In direct substitution, simply plug in the x-value given to solve for the limit as x approaches zero:
![\lim_{x \to 0} x^{2} - 2 \\\\ \lim_{x \to 0} (0)^{2} - 2\\\\ \lim_{x \to 0} x^{2} - 2= -2](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Cto%200%7D%20x%5E%7B2%7D%20-%202%20%5C%5C%5C%5C%20%5Clim_%7Bx%20%5Cto%200%7D%20%280%29%5E%7B2%7D%20-%202%5C%5C%5C%5C%20%5Clim_%7Bx%20%5Cto%200%7D%20x%5E%7B2%7D%20%20-%202%3D%20-2)
x = 37.5 (or) ![\frac{75}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B75%7D%7B2%7D)
Solution:
Given
.
Let us take BE = x and BC = 25 + x.
To determine the value of x:
If two triangles are similar then the corresponding angles are congruent and the corresponding sides are in proportion.
![$\frac{AC}{DE}=\frac{B C}{B E}](https://tex.z-dn.net/?f=%24%5Cfrac%7BAC%7D%7BDE%7D%3D%5Cfrac%7BB%20C%7D%7BB%20E%7D)
![$\frac{50}{30} =\frac{25+x}{x}](https://tex.z-dn.net/?f=%24%5Cfrac%7B50%7D%7B30%7D%20%3D%5Cfrac%7B25%2Bx%7D%7Bx%7D)
Do cross multiplication, we get
![50x=30(25+x)](https://tex.z-dn.net/?f=50x%3D30%2825%2Bx%29)
![50x=750+30x](https://tex.z-dn.net/?f=50x%3D750%2B30x)
Subtract 30x from both sides of the equation.
![20 x=750](https://tex.z-dn.net/?f=20%20x%3D750)
Divide by 20 on both sides of the equation, we get
x = 37.5 (or) ![\frac{75}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B75%7D%7B2%7D)
Hence the value of x is 37.5 or
.