Distance
What is the distance formula?
d=√(x₂-x₁)²+(y₂-y₁)²
What is the midpoint formula?
M(((x₁+x₂)/2),((y₁+y₂)/2)))
Find the equation of a circle whose center is (1, 3) and radius is 2.
(x-1)^2+(y-3)^2=4
If the equation of a circle is (x+8)^2+(y+17)^2=49, then center and radius of the circle are...
center: (-8, -17), radius: 7
What is the distance between (8,11) and (8,4)?
7
Given the points A and B where A is at coordinates ( 2,-5 ) and B is at coordinates ( -3,-7 ) on the line segment AB, find the midpoint of AB.
(-.5,-6)
Find the equation of a circle whose center is (-1,-4) and radius is 3..
(x+1)^2+(y+4)^2=9
If the equation of a circle is x^2+y^2=36, then center and radius of the circle are...
center: (0, 0), radius: 6
Given the points A and B where A is at coordinates ( 2, -5 ) and B is at coordinates ( -3, -7 ) on the line segment AB, find the length of AB.
√29 or 5.39
Find the midpoint of the line segment AB where point A is at ( 0, 2 ) and point B is at ( -1, - 4 ).
(-.5,-1)
Find the equation of a circle whose center is (0,-3) and radius is √14.
x^2+(y+3)^2=14
Based on this equation, (x-3)^2+(y-4)^2=25^2, the center and radius of this circle are...
center: (3, 4), radius: 25
Classify triangle ABC as scalene, isosceles, or equilateral A(-4,3), B(4,3), C(0,4).
isosceles
Henry just got out of school and he can either go to the library or to the mall. If the two places are equidistances from the school, the mall is at (9,2) and the school is at (3,4), where is the library located at?
(-3,6)
Find an equation for the circle centered at (–5, 12)
and passing through the point (–2, 8).
(x+5)^2 + (y–12)^2 = 25
If the equation of a circle is x^2+(y+3)^2= 14, then the center and radius of the circle are..
center: (0,-3), radius:√14
To get from his home to his girlfriend's home, Jimmy must drive around the library. If he drives 3 miles north, then 4 miles east, and finally 5 miles south, what is the straight-line distance between Jimmy's home and his girlfriend's home?
√20 or 4.47
Sharon is standing at (5,8) when two cars from the same distance is driving towards her. One of the car is located at (-1, 3), where is the other car located at?
(11,13)
Find an equation for the circle centered at (4, -2)
and passing through the point (9, -4).
(x–4)^2 + (y+2)^2 = 29
A circle has a diameter whose endpoints are (7,4) and (–1,–2). Find the center of this circle.
(3,1)