Answer:
The equation of the line passing through the given points is:
![y=-\frac{8}{3}x-11](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B8%7D%7B3%7Dx-11)
Step-by-step explanation:
Given:
The two points are: ![(x_1,y_1)=(-6,5)\textrm{ and }(x_2,y_2)=(-3,-3)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%3D%28-6%2C5%29%5Ctextrm%7B%20and%20%7D%28x_2%2Cy_2%29%3D%28-3%2C-3%29)
The equation of a line when two points are given is:
![y-y_1=\left (\frac{y_2-y_1}{x_2-x_1} \right )(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3D%5Cleft%20%28%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%20%5Cright%20%29%28x-x_1%29)
Plug in all the values and simplify.
![y-5=\left (\frac{-3-5}{-3-(-6)} \right )(x-(-6))\\y-5=\left (\frac{-8}{-3+6} \right )(x+6)\\y-5=\left (\frac{-8}{3} \right )(x+6)\\y-5=\frac{-8}{3}x-16\\y=\frac{-8}{3}x-16+5\\\\y=-\frac{8}{3}x-11](https://tex.z-dn.net/?f=y-5%3D%5Cleft%20%28%5Cfrac%7B-3-5%7D%7B-3-%28-6%29%7D%20%5Cright%20%29%28x-%28-6%29%29%5C%5Cy-5%3D%5Cleft%20%28%5Cfrac%7B-8%7D%7B-3%2B6%7D%20%5Cright%20%29%28x%2B6%29%5C%5Cy-5%3D%5Cleft%20%28%5Cfrac%7B-8%7D%7B3%7D%20%5Cright%20%29%28x%2B6%29%5C%5Cy-5%3D%5Cfrac%7B-8%7D%7B3%7Dx-16%5C%5Cy%3D%5Cfrac%7B-8%7D%7B3%7Dx-16%2B5%5C%5C%5C%5Cy%3D-%5Cfrac%7B8%7D%7B3%7Dx-11)
Therefore, the equation of the line passing through the above points is
![y=-\frac{8}{3}x-11](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B8%7D%7B3%7Dx-11)
Answer:
13824
Step-by-step explanation:
24 to base 3 = 24 x 24 x 24
= 13824
Hope this helps :)
The percent decrease in people going to the movies from Saturday to Sunday is 35.3%
Step-by-step explanation:
The percent decrease is given by the formula:
![Percent\ decrease = \frac{Decrease}{Old\ Value}*100\\where \\Decrease = Old\ value -New\ value\\](https://tex.z-dn.net/?f=Percent%5C%20decrease%20%3D%20%5Cfrac%7BDecrease%7D%7BOld%5C%20Value%7D%2A100%5C%5Cwhere%20%5C%5CDecrease%20%3D%20Old%5C%20value%20-New%5C%20value%5C%5C)
Given
New Value = 956
Old Value = 1478
Decrease = 1478-956
= 522
![Percent\ decrease= \frac{522}{1478}*100\\=0.353*100\\=35.3\%](https://tex.z-dn.net/?f=Percent%5C%20decrease%3D%20%5Cfrac%7B522%7D%7B1478%7D%2A100%5C%5C%3D0.353%2A100%5C%5C%3D35.3%5C%25)
The percent decrease in people going to the movies from Saturday to Sunday is 35.3%
Keywords: Percentage
Learn more about percentage at:
#LearnwithBrainly
So basically we can simplify the fraction by finding the gcf which is the greatest common factor so 14/12 both have 2 in common we simplify that by dividing by 2 so 14÷2 is 7/6 is the fraction on the left hand side and d/48 is the fraction on the right hand side so to solve for d we have to divide 336/6 whixh equals 56 as tour answer. Hoped this helped!!