The points (a,5) and (9,b) are on the circle x^2+ y^2= 125. what are the values of a and b. explain.

a = 10

b = 6.633

Step-by-step explanation:

x²+ y²= 125.

In this equation, the value of x and y represent the coordinates of x and y respectively of point on which the circle passes.

(a,5)

x²+ y²= 125

a² + 5² = 125

a² + 25 = 125

a² = 125-25

a² =  100

a = √100 = 10

(9,b)

x²+ y²= 125

9² + b² = 125

b² 125 - 81

b² = 44

b = √44 = 6.633

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

the data of the detroit pistons in numerical order from least to greatest is 0.30, 0.37, 0.55, 0.62, 0.69, 0.72, 0.73, 0.75, 0.77, 0.78, 0.80, 0.81, 0.81, 0.83, 0.84, 0.89

the data of the miami heat in numerical order from least to greatest is 0.50, 0.50, 0.56, 0.57, 0.67, 0.72, 0.72, 0.72, 0.75, 0.75, 0.76, 0.81, 0.82, 0.90, 1.00, 1.00

the detroit pistons median : 1.52

the miami heat median: 1.47

the iqr of this data is 0.05