Y = mx + c
this is the equation of line and here m is the slope
so, 2x-6y =12 can be changed into standard format
y = 2x/6 - 12/6
y=x/3 +(-2)
so, m = 1/3 , so slope will be 1/3
hope it helped :)
A and b are the 2 smaller sides, and c = hypotenus; only for right triangles,
Pythagorean Theorem states that:
![{c}^{2} = {a}^{2} + {b}^{2}](https://tex.z-dn.net/?f=%20%7Bc%7D%5E%7B2%7D%20%20%3D%20%20%7Ba%7D%5E%7B2%7D%20%20%2B%20%20%7Bb%7D%5E%7B2%7D%20)
given c = 6 in., a = 2 in.
![{c}^{2} = {a}^{2} + {b}^{2} \\ {6}^{2} = {2}^{2} + {b}^{2} \\ {b}^{2} = {6}^{2} - {2}^{2} = 36 - 4 \\ \sqrt{ {b}^{2} } = \sqrt{36 - 4} = \sqrt{32}](https://tex.z-dn.net/?f=%20%7Bc%7D%5E%7B2%7D%20%20%3D%20%20%7Ba%7D%5E%7B2%7D%20%20%2B%20%20%7Bb%7D%5E%7B2%7D%20%20%5C%5C%20%20%7B6%7D%5E%7B2%7D%20%20%3D%20%20%7B2%7D%5E%7B2%7D%20%20%2B%20%20%7Bb%7D%5E%7B2%7D%20%20%5C%5C%20%7Bb%7D%5E%7B2%7D%20%3D%20%20%7B6%7D%5E%7B2%7D%20%20-%20%20%7B2%7D%5E%7B2%7D%20%3D%2036%20-%204%20%20%20%5C%5C%20%5Csqrt%7B%20%7Bb%7D%5E%7B2%7D%20%7D%20%20%3D%20%20%5Csqrt%7B36%20-%204%7D%20%20%3D%20%20%5Csqrt%7B32%7D%20%20)
![b = \sqrt{32} = \sqrt{16} \times \sqrt{2} = 4 \sqrt{2} \\ b = 5.66 \: inches](https://tex.z-dn.net/?f=b%20%3D%20%20%5Csqrt%7B32%7D%20%20%20%3D%20%20%5Csqrt%7B16%7D%20%20%5Ctimes%20%20%5Csqrt%7B2%7D%20%20%3D%204%20%5Csqrt%7B2%7D%20%20%5C%5C%20b%20%3D%205.66%20%5C%3A%20inches)
So the three side are 2, 6, and 5.66 inches
Question 1132387: How many liters of a 10% solution should be mixed with 60L of 25% solution to get 15% solution? = one click in Excel = 120. ANSWER. 120 liters of the 10% solution.
Answer:
3. a,c
4. a,c
5. c
6. a
7. y=-9x
8. y=x+9
9. y=x-7,y=x+3
13. y=x+5
14. y=8x-2
15. y=5
Step-by-step explanation:
Sry for late response
Hello!
You add like terms
![3n^{2} + - 8n^{2} = -5n^{2}](https://tex.z-dn.net/?f=%203n%5E%7B2%7D%20%2B%20-%208n%5E%7B2%7D%20%3D%20%20-5n%5E%7B2%7D%20)
![-5n + -3n = -8n](https://tex.z-dn.net/?f=-5n%20%2B%20-3n%20%3D%20-8n)
![6 + -2 = 4](https://tex.z-dn.net/?f=6%20%2B%20-2%20%3D%204)
Put all the answers together
![-5n^{2} -8n+4](https://tex.z-dn.net/?f=-5n%5E%7B2%7D%20-8n%2B4)
The answer is
![-5n^{2} -8n+4](https://tex.z-dn.net/?f=-5n%5E%7B2%7D%20-8n%2B4)
Hope this helps!