There are 2 numbers that are 3 units from -6, it can be either from the left, in that case it would be -9, or to the right would be -3.
Answer:
(8, 15 and 17)
Step-by-step explanation:
![\sqrt{10^{2} +28^{2} } \neq 29](https://tex.z-dn.net/?f=%5Csqrt%7B10%5E%7B2%7D%20%2B28%5E%7B2%7D%20%7D%20%5Cneq%2029)
![\sqrt{6^{2} +8^{2} } \neq 13](https://tex.z-dn.net/?f=%5Csqrt%7B6%5E%7B2%7D%20%2B8%5E%7B2%7D%20%7D%20%5Cneq%2013)
![\sqrt{7^{2} +12^{2} } \neq 14](https://tex.z-dn.net/?f=%5Csqrt%7B7%5E%7B2%7D%20%2B12%5E%7B2%7D%20%7D%20%5Cneq%2014)
![\sqrt{8^{2} +15^{2} } =17](https://tex.z-dn.net/?f=%5Csqrt%7B8%5E%7B2%7D%20%2B15%5E%7B2%7D%20%7D%20%3D17)
Answer:
Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.
Step-by-step explanation:
Remember that:
- Two lines are parallel if their slopes are equivalent.
- Two lines are perpendicular if their slopes are negative reciprocals of each other.
- And two lines are neither if neither of the two cases above apply.
So, let's find the slope of each equation.
The first basketball is modeled by:
![\displaystyle 3x+4y=12](https://tex.z-dn.net/?f=%5Cdisplaystyle%203x%2B4y%3D12)
We can convert this into slope-intercept form. Subtract 3<em>x</em> from both sides:
![4y=-3x+12](https://tex.z-dn.net/?f=4y%3D-3x%2B12)
And divide both sides by four:
![\displaystyle y=-\frac{3}{4}x+3](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%3D-%5Cfrac%7B3%7D%7B4%7Dx%2B3)
So, the slope of the first basketball is -3/4.
The second basketball is modeled by:
![-6x-8y=24](https://tex.z-dn.net/?f=-6x-8y%3D24)
Again, let's convert this into slope-intercept form. Add 6<em>x</em> to both sides:
![-8y=6x+24](https://tex.z-dn.net/?f=-8y%3D6x%2B24)
And divide both sides by negative eight:
![\displaystyle y=-\frac{3}{4}x-3](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%3D-%5Cfrac%7B3%7D%7B4%7Dx-3)
So, the slope of the second basketball is also -3/4.
Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.