Suppose (9, 14) and (3, −10) are the endpoints of a diameter of a circle. What is the equation of the circle?

The equation of circle is + = 153

Step-by-step explanation:

Given the endpoints of a diameter of a circle: (9,14) and (3,-10)

We know that the equation of a circle is

+ =

where (x,y) is any point on the circle, (h,k) is center of the circle and r is radius of circle.

To find (h,k): the center is midpoint of diameter

Midpoint of diameter with end points (x1,y1) and (x2,y2) is given by

(   ,  )

(   ,  )

(6,2)

Hence (h,k) is (6,2)

Substituting values of (h.k) and (x.y) as (6,2) and (9,14) respectively in equation of circle, we get

+ =

= 153

Substituting the values of (h,K) and  , we get the equation of circle as

+ = 153

Hence the equation of circle is + = 153

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.