Given :
Center of sphere , C( 1 , -1 , 6 ) .
To Find :
Find equations of the spheres with center (1, −1, 6) that touch the following planes.a) xy-plane b) yz-plane c) xz-plane .
Solution :
a)
Distance of the point from xy-plane is :
d = 6 units .
So , equation of circle with center C and radius 6 units is :
b)
Distance of point from yz-plane is :
d = 1 unit .
So , equation of circle with center C and radius 1 units is :
c)
Distance of point from xz-plane is :
d = 1 unit .
So , equation of circle with center C and radius 1 units is :
Hence , this is the required solution .
Answer: d
Step-by-step explanation:
Multiply the first equation by 2 to then use elimination by adding the 2 equations.
So, 14x-2y=14
+. x+2y=6
Equals 15x=20 so x=20/15=4/3
Plug in to first equation to get y
7(4/3)-y=7
28/3-y=7
28/3-y=21/3
So y=7/3
Plug both x and y into second equation to check
4/3+2(7/3)=
4/3+14/3=18/3=6 it works
So x=4/3, y=7/3
Hope this helps! Have a blessed day!
Earlier price is 2.80
Current price is 2.87
Increment is
2.87 - 2.80
0.07
Increment percentage is
(0.07 / 2.80) * 100
2.5 %
Answer:
Step-by-step explanation:
you ate 3
you paid $9.45 for the 3
to find the cost of the whole pizza you need to know how much each slice costs so
9.45 / 3 = $3.15 a slice
so each slice is $3.15 and there are 8 slices and you need to know how much they cost altogether so
3.15 * 8 = $25.20
