Answer:
x = 8
Step-by-step explanation:
well using the theorem we have
![\frac{6}{9}=\frac{x}{12}\\\\\frac{2}{3}=\frac{x}{12}\\\\12[\frac{2}{3}]=12[\frac{x}{12}]\\\\4\cdot 2=x\\\\x=8](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B9%7D%3D%5Cfrac%7Bx%7D%7B12%7D%5C%5C%5C%5C%5Cfrac%7B2%7D%7B3%7D%3D%5Cfrac%7Bx%7D%7B12%7D%5C%5C%5C%5C12%5B%5Cfrac%7B2%7D%7B3%7D%5D%3D12%5B%5Cfrac%7Bx%7D%7B12%7D%5D%5C%5C%5C%5C4%5Ccdot%202%3Dx%5C%5C%5C%5Cx%3D8)
Answer: -2/5
Step-by-step explanation:
To find the slope, we set the function use y = mx + b forms.
2x + 5y = 10
5y = -2x + 10 Minus 2x in both side
y = -2/5x + 10/5 Divide 5 from both side
y = -2/5x + 2
In the y = mx + b, the m before variable x is always the slope, so -2/5 is the slope for 2x + 5y = 10.
let length of one piece = x
length of other piece = 236-x
one piece is three times the length of the other
x=3(236-x)
x=708-3x
4x=708
x=177
so first piece is 177 inches long and second piece is (236-177)= 59 inches long
