Answer:
![\huge \boxed{ \boxed{ - \frac{1}{2} }}](https://tex.z-dn.net/?f=%20%20%5Chuge%20%5Cboxed%7B%20%5Cboxed%7B%20-%20%20%5Cfrac%7B1%7D%7B2%7D%20%7D%7D)
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
![m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\](https://tex.z-dn.net/?f=m%20%3D%20%20%5Cfrac%7B%20y_2%20-%20y%20_%201%7D%7Bx_%202%20-%20x_%201%7D%20%5C%5C)
From the question we have
![m = \frac{6 - 8}{12 - 8} = - \frac{2}{4} = - \frac{1}{2} \\](https://tex.z-dn.net/?f=m%20%3D%20%20%5Cfrac%7B6%20-%208%7D%7B12%20-%208%7D%20%20%3D%20%20-%20%20%5Cfrac%7B2%7D%7B4%7D%20%20%3D%20%20-%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5C%5C%20)
We have the final answer as
![- \frac{1}{2} \\](https://tex.z-dn.net/?f=%20-%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5C%5C%20)
Hope this helps you
<em><u>Answer:</u></em>
<em><u>y = 5, 3; x = 171, 155</u></em>
<em><u>Step-by-step explanation:</u></em>
8y - 15 = y^2
y^2-8y+15=0
y^2-3y-5y+15=0
y(y-3)-5(y-3)=0
(y-5)(y-3)=0
y can be 5 or 3.
x = 180 - (8y - 15)
x = 180 - (8(3)-15)
x = 180 - 9
x = 171
OR
x = 180 - (8(5) - 15)
x = 180 - 25
x = 155
Answer:
![10.5\ gal](https://tex.z-dn.net/?f=10.5%5C%20gal)
Step-by-step explanation:
we know that
![1,000\ cm^{3} =1\ l](https://tex.z-dn.net/?f=1%2C000%5C%20cm%5E%7B3%7D%20%3D1%5C%20l)
![1\ l=1.75\ pints](https://tex.z-dn.net/?f=1%5C%20l%3D1.75%5C%20pints)
![1\ gal=8\ pints](https://tex.z-dn.net/?f=1%5C%20gal%3D8%5C%20pints)
we have
![48,000\ cm^{3}](https://tex.z-dn.net/?f=48%2C000%5C%20cm%5E%7B3%7D)
step 1
Convert to liters
![48,000\ cm^{3}=48,000/1,000=48\ l](https://tex.z-dn.net/?f=48%2C000%5C%20cm%5E%7B3%7D%3D48%2C000%2F1%2C000%3D48%5C%20l)
step 2
Convert to pints
![48\ l=48*1.75=84\ pints](https://tex.z-dn.net/?f=48%5C%20l%3D48%2A1.75%3D84%5C%20pints)
step 3
Convert to gallons
![84\ pints=84/8=10.5\ gal](https://tex.z-dn.net/?f=84%5C%20pints%3D84%2F8%3D10.5%5C%20gal)