The standard equation of a circle is expressed as
(x - h)^2 + (y - k)^2 = r^2
where
h is the x coordinate of the center of the circle
k is the y coordinate of the center of the circle
r is the radius of the circle(the distance from the center of the circle to the circumference
From the graph,
h = - 1
y = 4
r = 5
By substituting these values into the equation, we have
(x - - 1)^2 + (y - 4)^2 = 5^2
(x + 1)^2 + (y - 4)^2 = 25
Thus, the equation of the circle is
(x + 1)^2 + (y - 4)^2 = 25
Answer:
Probability p( selecting 8 cities alphabetically) = 2.48×10^-5
Step-by-step explanation:
Number of possible ways of choosing 8 cities=Permutation P(n,k) = n!/(n-k)!
P(8,8)= 8!/(8-8)! = 8! = 40,320
Probability (selecting 8 cities alphabetically) = 1/40320 = 2.48×10^-5
<u>coordinates of the point are (2,6) and (3,4)</u>
Answer:
Solution given:
let the given point be A(1,8) and B(4,2).
P and Q are the two points on AB such that
AP=PQ=QB=k
now
comparing AP and PB
AP=k
PB=2k
ratio of AP and PB =
= ratio 1:2
now
finding p
for this
For AB
now by using division formula
similarly
Q divides AB
Ratio of AQ and QB =
= ratio 2:1
by using division formula
Answer:
y=-3x-3
Step-by-step explanation:
