I have what I think are the correct answers to all of these but the last two. Can someone help a poor mom out please?
I've attached a sketch which will show you how to do the construction problem.
To the last problem:
Calculate the centres of the circles by completing the square:
Thus you get the coordinates of the first centre as:
Thus you get the coordinates of the second centre as:
Now use Pythagorean theorem to calculate the distance:
Your four answers are correct.I have what I think are the correct answers to all of these but the last two.
In the fifth problem: .OQ is a radius (12) perpendicular to the tangent .
. . Since , then: . . . . and .
From draw perpendicular to .
. . Then quadrilateral is a square: .
is an isosceles right triangle: .
. . Therefore: .