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 .
Well what two numbers multiply to get -8 and add to get -2?
Well, to get -8, we either have (-1,8),(-2,4),(-4,2),(-8,1)
8-1=7
-2+4=2
2-4=-2
1-8=-7
Thus it should be (-4,2),
This means we should get (X-4)(X+2)
Answer: 120
Step-by-step explanation:
From the question, we are informed that there are 10 people in a math club and that three people will be chosen for the Pi Day committee.
The number of different ways that the club members can structure the committee goes thus:
This can be solved by:
nCr = n! / r! (n - r)!
where n = 10
r = 3
= n! / r! (n - r)!
= 10! / 3! (10 - 3)!
= (10 × 9 × 8) / (3 × 2)
=120
Emily wanted to exchange her 300 US Dollars for Canadian Dollars.
The exchange rate for it was 1.25 Canadian Dollars for 1 US Dollar.
This means that 1 US Dollar = 1.25 Canadian Dollars.
So if we were to follow this pattern,
2 US Dollars = 2 × 1.25 = 2.5 Canadian Dollars
3 US Dollars = 3 × 1.25 = 3.75 Canadian Dollars
4 US Dollars = 4 × 1.25 = 5 Canadian Dollars
So for 300 US Dollars, we'll need to multiply 300 by 1.25.
300 US Dollars = 300 × 1.25 = 375 Canadian Dollars.
Hope it helps. :)
