Point c = (4/9,-5/9) lies on the circle with the center at s=(-2/3, 3/4). if cd is a diameter of circle s, find the coordinates for d. answer must be given as a simplified fraction to receive full credit.

Step-by-step explanation:

If CD is a diameter of circle S, then CD goes through circle S at point S.  CS is a radius, and so is DS.  That means that they are the same length.  That also means that S is the midpoint of CD.  We can use the midpoint formula and the 2 points we are given to find the other endpoint, D.

To solve for x, we will use the x coordinate of the midpoint; likewise for y.  x first:

Multiply both sides by 2 to get rid of the lowermost 2 and get

Subtract 4/9 from both sides to get

Now y:

Again multiply both sides by that lower 2 to get

Add 5/9 to both sides to get

And there you go!

answer: the answer is 5/22

step-by-step explanation: if you subtract 17 from 22 the answer is 5 therefore the remainder of students are female