Pentagon opqrs is shown on the coordinate plane below:

if pentagon opqrs is dilated by a scale factor of seven over four from the origin, to create o'p'q'r's', what is the ordered pair of point s'?

(8.75, 5.25)
(1.25, 0.75)
(1.75, 3.5)
(3.5, 8.75)

D is the correct answer. The ordered pair of S' = (3.5,8.75).

Step-by-step explanation:

Given : A pentagon OPQRS is dilated by a scale factor of k=  from the origin, to create O'P'Q'R'S'.

We know that after dilation of any figure from the center by a scalar factor k,the coordinates of the new figure =(kx,ky), where (x,y) be the coordinates of the given figure.

From the given graph we can see the coordinates of S is (2,5)

Therefore, the coordinate of S'=(k2,k5)=

Thus ,the ordered pair of S' = (3.5,8.75).

the formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. if a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.