To find the slope of a line, we can use the following formula:
![\displaystyle \large{m = \frac{y_2 - y_1}{x_2 - x_1} }](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Clarge%7Bm%20%3D%20%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D%20%7D)
m-term stands for slope or gradient. The formula is useful whenever you want to find a slope of two points.
Let these be the following:
![\displaystyle \large{(x_1,y_1) = (0, - 11)} \\ \displaystyle \large{(x_2,y_2) = (8, - 8)}](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Clarge%7B%28x_1%2Cy_1%29%20%3D%20%280%2C%20-%2011%29%7D%20%5C%5C%20%20%5Cdisplaystyle%20%5Clarge%7B%28x_2%2Cy_2%29%20%3D%20%288%2C%20-%208%29%7D)
Substitute the points in formula:
![\displaystyle \large{m = \frac{ - 8 -( - 11)}{ 8 - 0} }](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Clarge%7Bm%20%3D%20%20%5Cfrac%7B%20-%208%20-%28%20-%2011%29%7D%7B%208%20-%200%7D%20%7D)
Negative multiply negative always come out as positive.
![\displaystyle \large{m = \frac{ - 8 + 11}{ 8 - 0} } \\ \displaystyle \large{m = \frac{ 3}{ 8 } } \\](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Clarge%7Bm%20%3D%20%20%5Cfrac%7B%20-%208%20%20%2B%20%2011%7D%7B%208%20-%200%7D%20%7D%20%5C%5C%20%20%5Cdisplaystyle%20%5Clarge%7Bm%20%3D%20%20%5Cfrac%7B%203%7D%7B%208%20%7D%20%7D%20%5C%5C%20)
Since m stands for slope, we can say that:
![\displaystyle \large \boxed{ \tt{slope = \frac{3}{8} }}](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%20%5Clarge%20%5Cboxed%7B%20%5Ctt%7Bslope%20%20%3D%20%20%5Cfrac%7B3%7D%7B8%7D%20%7D%7D)
Answer:
200 actual miles
Step-by-step explanation:
Find the actual distance by multiplying 50 by 4, since there are 50 miles in 1 inch.
50(4)
= 200
So, there are 200 actual miles between the two cities.
Answer:
A is correct, 7 units. Hope this helps! :)
Answer:
A
Step-by-step explanation:
When planes intersect, it means they'll cross over each other at some point, so A is the only right answer.
Answer:
![\huge\boxed{\sf Solution \ Set = \{-1, \ -2/5\}}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7B%5Csf%20Solution%20%5C%20Set%20%3D%20%5C%7B-1%2C%20%5C%20-2%2F5%5C%7D%7D)
Step-by-step explanation:
![\sf 5x^2+7x+2 = 0\\\\By \ mid-term\ break,\\\\5x^2 + 5x+2x+2=0\\\\Taking \ common\\\\5x(x+1)+2(x+1)=0\\\\Take \ (x+1) \ common\\\\(x+1)(5x+2)=0\\\\Either, (By \ Zero's \ Method)\\\\x+1 = 0 \ \ \ OR \ \ \ 5x + 2 = 0\\\\x = -1 \ \ \ OR \ \ \ x = -2/5\\\\Solution \ Set = \{-1, \ -2/5\}\\\\\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Csf%205x%5E2%2B7x%2B2%20%3D%200%5C%5C%5C%5CBy%20%5C%20mid-term%5C%20break%2C%5C%5C%5C%5C5x%5E2%20%2B%205x%2B2x%2B2%3D0%5C%5C%5C%5CTaking%20%5C%20common%5C%5C%5C%5C5x%28x%2B1%29%2B2%28x%2B1%29%3D0%5C%5C%5C%5CTake%20%5C%20%28x%2B1%29%20%5C%20common%5C%5C%5C%5C%28x%2B1%29%285x%2B2%29%3D0%5C%5C%5C%5CEither%2C%20%28By%20%5C%20Zero%27s%20%5C%20Method%29%5C%5C%5C%5Cx%2B1%20%3D%200%20%5C%20%5C%20%5C%20OR%20%5C%20%5C%20%5C%205x%20%2B%202%20%3D%200%5C%5C%5C%5Cx%20%3D%20-1%20%5C%20%5C%20%5C%20OR%20%5C%20%5C%20%5C%20x%20%3D%20-2%2F5%5C%5C%5C%5CSolution%20%5C%20Set%20%3D%20%5C%7B-1%2C%20%5C%20-2%2F5%5C%7D%5C%5C%5C%5C%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AH1807</h3><h3>Peace!</h3>