Answer:
x = 30
Step-by-step explanation:
![\frac{x}{5} = \frac{x}{6} + 1](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B5%7D%20%20%3D%20%20%5Cfrac%7Bx%7D%7B6%7D%20%20%2B%201)
LCM = 30
![6x = 5x + 30](https://tex.z-dn.net/?f=6x%20%3D%205x%20%2B%2030)
Groiping like terms
6x - 5x =30
x = 30.
You can take a million different cross-sections of a sphere and you will always end up with a circle.
Answer:
![\sqrt{37}](https://tex.z-dn.net/?f=%5Csqrt%7B37%7D)
Step-by-step explanation:
you can use the pythagorean theorem. form a triangle, the distance on one side should be 6, the other 1. ![6^{2} +1^{2} =c^{2} , 37=c^{2} , c=\sqrt{37}](https://tex.z-dn.net/?f=6%5E%7B2%7D%20%2B1%5E%7B2%7D%20%3Dc%5E%7B2%7D%20%20%2C%2037%3Dc%5E%7B2%7D%20%20%20%20%20%2C%20c%3D%5Csqrt%7B37%7D)
Answer:
<h2> f(-7) = 249 </h2>
Step-by-step explanation:
![f(x) = - 4 {x}^{2} - 7x + 4](https://tex.z-dn.net/?f=f%28x%29%20%20%3D%20%20-%204%20%7Bx%7D%5E%7B2%7D%20%20-%207x%20%2B%204)
To find f(-7) , substitute the value of x that's - 7 into f(x). That is for every x in f(x) replace it with - 7
We have
![f( - 7) = - 4 ({ - 7})^{2} - 7( -7 ) + 4 \\ = 4(49) + 49 + 4 \\ = 196 + 53 \: \: \: \: \: \: \: \: \: \: \:](https://tex.z-dn.net/?f=f%28%20-%207%29%20%3D%20%20-%204%20%28%7B%20-%207%7D%29%5E%7B2%7D%20%20-%207%28%20-7%20%29%20%2B%204%20%5C%5C%20%20%3D%204%2849%29%20%2B%2049%20%2B%204%20%5C%5C%20%20%3D%20196%20%2B%2053%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20)
We have the final answer as
<h3>f( -7) = 249</h3>
Hope this helps you