Slope of this line, -5y = -3x - 4
y = 3/5x + 4/5
So, slope of line which is perpendicular = -5/3 [reciprocal & opposite ]
In short, Your Answer would be -5/3
Hope this helps!
For this case we must simplify the following expression:
![x ^ 2-3xy-5xy-7y ^ 2 + 4x ^ 2 + 8y ^ 2](https://tex.z-dn.net/?f=x%20%5E%202-3xy-5xy-7y%20%5E%202%20%2B%204x%20%5E%202%20%2B%208y%20%5E%202)
We must add similar terms taking into account that:
- Equal signs are added and the same sign is placed.
- Different signs are subtracted and the major sign is placed.
![(x ^ 2 + 4x ^ 2) + (- 3xy-5xy) + (- 7y ^ 2 + 8y ^ 2) =\\5x ^ 2-8xy + y ^ 2](https://tex.z-dn.net/?f=%28x%20%5E%202%20%2B%204x%20%5E%202%29%20%2B%20%28-%203xy-5xy%29%20%2B%20%28-%207y%20%5E%202%20%2B%208y%20%5E%202%29%20%3D%5C%5C5x%20%5E%202-8xy%20%2B%20y%20%5E%202)
Thus, the simplified expression is:
![5x ^ 2-8xy + y ^ 2](https://tex.z-dn.net/?f=5x%20%5E%202-8xy%20%2B%20y%20%5E%202)
Answer:
![5x ^ 2-8xy + y ^ 2](https://tex.z-dn.net/?f=5x%20%5E%202-8xy%20%2B%20y%20%5E%202)
Answer:
average acceleration a=change in velocity / time it took to get to velocity
a=(45-0)mph / 2s = 22.5 mph/hr/s
Step-by-step explanation:
Let b>a,
a+b=40 so we can say a=40-b
We are told that b-a=6.5, using a found above in the equation gives us:
b-(40-b)=6.5
b-40+b=6.5
2b-40=6.5
2b=46.5
b=23.25, and since a=40-b
a=40-23.25
a=16.75
So a=16.75 and b=23.25
check...
16.75+23.25=40, 40=40
23.25-16.75=6.5, 6.5=6.5