In the
plane, we have
everywhere. So in the equation of the sphere, we have
![25=(x-2)^2+(y+10)^2+(-3)^2\implies(x-2)^2+(y+10)^2=16=4^2](https://tex.z-dn.net/?f=25%3D%28x-2%29%5E2%2B%28y%2B10%29%5E2%2B%28-3%29%5E2%5Cimplies%28x-2%29%5E2%2B%28y%2B10%29%5E2%3D16%3D4%5E2)
which is a circle centered at (2, -10, 0) of radius 4.
In the
plane, we have
, which gives
![25=(x-2)^2+10^2+(z-3)^2\implies(x-2)^2+(z-3)^2=-75](https://tex.z-dn.net/?f=25%3D%28x-2%29%5E2%2B10%5E2%2B%28z-3%29%5E2%5Cimplies%28x-2%29%5E2%2B%28z-3%29%5E2%3D-75)
But any squared real quantity is positive, so there is no intersection between the sphere and this plane.
In the
plane,
, so
![25=(-2)^2+(y+10)^2+(z-3)^2\implies(y+10)^2+(z-3)^2=21=(\sqrt{21})^2](https://tex.z-dn.net/?f=25%3D%28-2%29%5E2%2B%28y%2B10%29%5E2%2B%28z-3%29%5E2%5Cimplies%28y%2B10%29%5E2%2B%28z-3%29%5E2%3D21%3D%28%5Csqrt%7B21%7D%29%5E2)
which is a circle centered at (0, -10, 3) of radius
.
The answer is "sometimes".
If A = 3 and B = 1 then, A > B and A-B < A+B
On the other hand, If A = 3 and B = -1, then A > B but A-B is not less than A+B.
77% of the school want electronic newsletters, so 23% of the school want physical paper newsletters.
77% of 650 is 500.5.
23% of 650 is 149.5.
650/100 = 6.5
6.5x77 = 500.5
6.5x23 = 149.5
It's best to round that figure up to 150 as there will not be a parent who only needs half of the newsletter.
5+16=21
you can buy something that costs $21, then it discounts 5 and brings it down to 16
7 times number of olive=21
divide both sides by 7
number of olive oil bottles=3
answer is 3 bottles
Answer:
B
Step-by-step explanation: