9514 1404 393
Answer:
(x +6)^2 +(y -10)^2 = 225
Step-by-step explanation:
The standard form equation for a circle is ...
(x -h)^2 + (y -k)^2 = r^2
where the center is (h, k) and the radius is r.
The center of a circle is the midpoint of any diameter. The midpoint between two points is the average of their coordinates.
((-15, -2) +(3, 22))/2 = (-15+3, -2+22)/2 = (-6, 10)
The radius can be found using the distance formula, or by simply putting one of the given points in the equation for the circle to see what the constant (r^2) needs to be.
(x -(-6))^2 +(y -10)^2 = (-15-(-6))^2 +(-2-10)^2
(x +6)^2 +(y -10)^2 = 81 +144 = 225
The equation of the circle is ...
(x +6)^2 +(y -10)^2 = 225
Answer:
and 
Step-by-step explanation:
(a)
Expressing as a fraction
( divide numerator/ denominator by 2 )
=
← in simplest form
(b)
Expressing as a fraction
( divide numerator/ denominator by 10 )
=
← in simplest form
Answer:
Step-by-step explanation:
So the table means that there are 20 1's, 120 2's, 40 3's, and 20 4's.
The total number is 20+120+40+20 = 200.
So the probability of each is:
1: 20/200 = 0.10
2: 120/200 = 0.60
3: 40/200 = 0.20
4: 20/200 = 0.10