Answer
1043
Explanation
add lol
hope this helps and have a wonderful day :)
Given:
Right triangle.
Base = 10
Hypotenuse = 26
To find:
The missing side length
Solution:
Let the missing side length be x.
Using Pythagoras theorem:
In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.
![10^2+x^2=26^2](https://tex.z-dn.net/?f=10%5E2%2Bx%5E2%3D26%5E2)
![100+x^2=676](https://tex.z-dn.net/?f=100%2Bx%5E2%3D676)
Subtract 100 from both sides.
![100+x^2-100=676-100](https://tex.z-dn.net/?f=100%2Bx%5E2-100%3D676-100)
![x^2=576](https://tex.z-dn.net/?f=x%5E2%3D576)
Taking square root on both sides.
![x=24](https://tex.z-dn.net/?f=x%3D24)
The missing side length of the right triangle is 24.
Answer:
12
Step-by-step explanation:
Assuming that the 2 actually represents square, the equation is
![f(x) = 12(x-2)^2 + 18](https://tex.z-dn.net/?f=f%28x%29%20%3D%2012%28x-2%29%5E2%20%2B%2018)
![(x-2)^2 = x^2 - 4x + 4\\\\12(x-2)^2 + 18 = 12( x^2 - 4x + 4) + 18 = 12x^2 -48x + 48 + 18 = 12x^2 -48x + 66\\](https://tex.z-dn.net/?f=%28x-2%29%5E2%20%3D%20x%5E2%20-%204x%20%2B%204%5C%5C%5C%5C12%28x-2%29%5E2%20%2B%2018%20%3D%2012%28%20x%5E2%20-%204x%20%2B%204%29%20%2B%2018%20%3D%2012x%5E2%20-48x%20%2B%2048%20%2B%2018%20%3D%2012x%5E2%20-48x%20%2B%2066%5C%5C)
This equation is of the form
![ax^2 + bx + c](https://tex.z-dn.net/?f=ax%5E2%20%2B%20bx%20%2B%20c)
![a = 12, b = -48, c = 66](https://tex.z-dn.net/?f=a%20%3D%2012%2C%20b%20%3D%20-48%2C%20c%20%3D%2066)
<u>Note</u>
Since the question is only asking for the a value which is the coefficient of x² it is clear that 12 is the coefficient without expanding (x-2)² but it is always better to proceed as above in case you are asked for b and c values also
Im on that to, maybe i can help you !! :)
Answer:
32% of the guests requested room service this morning.
Step-by-step explanation:
We have, This morning 340 guests at a hotel requested room service if there are 500 guests in the hotel. It is required to find the percent of guests requested room service this morning.
Percentage is given by :
![P=\dfrac{500-340}{500}\times 100\\\\P=32\%](https://tex.z-dn.net/?f=P%3D%5Cdfrac%7B500-340%7D%7B500%7D%5Ctimes%20100%5C%5C%5C%5CP%3D32%5C%25)
So, 32% of the guests requested room service this morning.