On the xy-coordinate plane, point A and B both lie on the circumference of a circle whose center is o, and the length AB equals the circle's diameter. If the (x, y) coordinates of o are (2,1) and the (x, y) coordinates of B are (4,6). What are the (x, y) coordinates of A?

A(0, - 4)

Step-by-step explanation: line AB is the length of the diameter of the circle with center o.

Center o has the coordinate (2, 1)

Point B has the coordinate (4, 6)

Point A has the coordinate (x1, y1)

The coordinate of the midpoint ( center o) is defined by the formulae below.

x = (x2 + x1) /2 and y = (y2 + y1) /2

Where x and y are coordinates of the center point o with x = 2 and y = 1

For point B, we have that x2 = 4 and y2 = 6

By substituting the parameters, we have that

2 = (4 + x1) /2

By cross multiplying

2×2 = 4 + x1

4 = 4 + x1

x1 = 4 - 4

x1 = 0.

1 = (6 + y1) / 2

By cross multiplying, we have that

1 × 2 = 6 + y1

2 = 6 + y1

2 - 6 = y1

y1 = - 4.

Hence coordinates of point A is (0, - 4)

25

step-by-step explanation:

a. turk and mcalister

b. howard, mission, and market

c. yes. since streets end some do not cross yet are not parallel to others. example: mcalister and 5th

step-by-step explanation:

parallel lines are lines which do not intersect ever and look a lot like railroad tracks. turk, mcalister and golden gate are examples of these.

intersect are streets which cross each other and a car on one can reach the other. howard, mission, and market intersect with 6th.

skew lines are lines which neither intersect nor are parallel. these lines exist here because some streets end and never intersect another like mcalister and 5th.