Slope:
(2,2) (1,-3)
Answer:
(-2,1)
Step-by-step explanation:
Answer:
![3x^2-9xy+13y^2](https://tex.z-dn.net/?f=3x%5E2-9xy%2B13y%5E2)
Step-by-step explanation:
We begin with : ![6x^2-7xy+8y^2-[(x^2-3xy-y^2)+(2x^2+5xy-4y^2)]](https://tex.z-dn.net/?f=6x%5E2-7xy%2B8y%5E2-%5B%28x%5E2-3xy-y%5E2%29%2B%282x%5E2%2B5xy-4y%5E2%29%5D)
First, let us add the two portions within the brackets. To do this, we need to just combine the like terms
![6x^2-7xy+8y^2-[(x^2-3xy-y^2)+(2x^2+5xy-4y^2)]\\\\6x^2-7xy+8y^2-[3x^2+2xy-5y^2]](https://tex.z-dn.net/?f=6x%5E2-7xy%2B8y%5E2-%5B%28x%5E2-3xy-y%5E2%29%2B%282x%5E2%2B5xy-4y%5E2%29%5D%5C%5C%5C%5C6x%5E2-7xy%2B8y%5E2-%5B3x%5E2%2B2xy-5y%5E2%5D)
Next, we need to distribute the negative to all the terms within the brackets
![6x^2-7xy+8y^2-[3x^2+2xy-5y^2]\\\\6x^2-7xy+8y^2-3x^2-2xy+5y^2](https://tex.z-dn.net/?f=6x%5E2-7xy%2B8y%5E2-%5B3x%5E2%2B2xy-5y%5E2%5D%5C%5C%5C%5C6x%5E2-7xy%2B8y%5E2-3x%5E2-2xy%2B5y%5E2)
Now we can combine the like terms again
![6x^2-7xy+8y^2-3x^2-2xy+5y^2\\\\3x^2-9xy+13y^2](https://tex.z-dn.net/?f=6x%5E2-7xy%2B8y%5E2-3x%5E2-2xy%2B5y%5E2%5C%5C%5C%5C3x%5E2-9xy%2B13y%5E2)
0.45 Km / min and 0.9 Km
note that 1 hour = 60 minutes
divide by 60 to get Km / min
27 Km / hour =
= 0.45 Km / min
distance in 2 minutes = 0.45 × 2 = 0.9 Km
Answer:
12,3
Step-by-step explanation:
x axis is going by 4
y axis is going by 1
Answer:
Middle: 2.5 ft
Right: 4,375 ft
Left: 1,875 ft
Step-by-step explanation:
We know that a tree in the middle is 2.5 feet tall.
Now the tree on the left measures 3/4 of the tree in the middle, therefore:
2.5 * 3/4 = 1.875
Which means that the tree on the left is 1.875 feet tall.
Finally the tree on the right 1 3/4, which would be 1.75 times the tree in the middle, therefore:
2.5 * 1.75 = 4.375
Therefore the tree on the right is 4.375 feet tall.