Quadrilateral abcd underwent a sequence of transformations to give quadrilateral a’b’c’d. which transformation could of taken place?

Option B is correct.

Step-by-step explanation:

Given Coordinates of the vertices of the Quadrilateral,

A( -5 , 4 ) , B( -6 , 6 ) , C( -2 , 6 ) and D( -4 , 4 )

Coordinate of the vertices after transformation,

A'( 2 , -6 ) , B( 2 , -4 ) , C( 6 , -4 ) and D( 4 , -6 )

We need to find the transformation.

Reflection and rotation is not done in this transformation as while doing reflection and rotation position of edge change.

So, It is translated 10 unit down then 8 unit right is the correct answer.

Therefore, Option B is correct.

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1

1,407.5 hours

step-by-step explanation:

we first convert all the time to hours and then sum them up.

there are 24 hours in 1 day, in 58 days, there are 24 x 58 = 1,392 hours.

there are 60 minutes in 1 hour, thus, 30 minutes will be equivalent to 30 / 60 = 0.5 hours.

therefore, the number of hours it will take mercury to complete a full rotation is 1,392 + 15 + 0.5 = 1,407.5 hours