Answer:
0.8k +14
Step-by-step explanation:
See the steps below:)
Answer:
P/4
Step-by-step explanation:
Answer:
wow thats a lot let me write this down
y varies directly with x.
The constant of variation is k = 7
Step-by-step explanation:
We have to check whether both vary directly with each other or not.
Every pair of x and y will be considered one by one
If y varies directly with x, it should satisfy y = kx or k = yx
So,
For x= -2, y=-14
![-14 = -2k\\k = \frac{-14}{-2}\\k = 7](https://tex.z-dn.net/?f=-14%20%3D%20-2k%5C%5Ck%20%3D%20%5Cfrac%7B-14%7D%7B-2%7D%5C%5Ck%20%3D%207)
For
x=3, y=21
![21 = 3k\\ k = \frac{21}{3}\\k = 7](https://tex.z-dn.net/?f=21%20%3D%203k%5C%5C%20k%20%3D%20%5Cfrac%7B21%7D%7B3%7D%5C%5Ck%20%3D%207)
For
x=5, y=35
![35 = 5k\\ k = \frac{35}{5}\\k = 7](https://tex.z-dn.net/?f=35%20%3D%205k%5C%5C%20k%20%3D%20%5Cfrac%7B35%7D%7B5%7D%5C%5Ck%20%3D%207)
As k is same for all pairs of x and y, it can be concluded that:
y varies directly with x.
The constant of variation is k = 7
Keywords: Proportion, variation
Learn more about proportion at:
#LearnwithBrainly
Answer:
![(C)2\sqrt{7}](https://tex.z-dn.net/?f=%28C%292%5Csqrt%7B7%7D)
Step-by-step explanation:
Given a circle Q represented by the equation:
![(x -11)^2 + (y + 15)^2 = 7.](https://tex.z-dn.net/?f=%28x%20-11%29%5E2%20%2B%20%28y%20%2B%2015%29%5E2%20%3D%207.)
Comparing with the standard form of the equation of a circle center (h,k) of radius r:
![(x-h)^2+(y-k)^2=r^2](https://tex.z-dn.net/?f=%28x-h%29%5E2%2B%28y-k%29%5E2%3Dr%5E2)
We have:
![r^2=7](https://tex.z-dn.net/?f=r%5E2%3D7)
We take the square root to obtain the radius, r of the circle.
![r=\sqrt{7}](https://tex.z-dn.net/?f=r%3D%5Csqrt%7B7%7D)
Since segment KL is a diameter of circle Q; and
Diameter =Radius X 2
Therefore:
![|KL|=2\sqrt{7}](https://tex.z-dn.net/?f=%7CKL%7C%3D2%5Csqrt%7B7%7D)