Find Midpoint
QR has endpoints at Q(6, 16) and R(10, 20). Find the midpoint M of QR.
Write the coordinates as decimals or integers.
M = (8, 18)
Add. Write your answer in simplest form.
5 square root + 10 square root
15 square root 2
Multiply. Assume c is greater than or equal to zero, and write your answer in simplest form.
square root 84c x square root 5
2 square root 105 x c
square root 75
5 square root 3
What is the vertex of the parabola y=2(x–8)2–3?
8, -3
A line segment has the endpoints R(–20, 4) and S(–7, 15). Find the coordinates of its midpoint M.
Write the coordinates as decimals or integers.
M = (-13.5, 9.5)
Add. Write your answer in simplest form.
-9 square root 3 + 7 square root 3
-2 square root 3
Multiply. Assume u is greater than or equal to zero, and write your answer in simplest form.
4 square root 5u[5] x square root 70
20u[2] x square root 14xu
square root 12
2 square root 3
What is the vertex of the parabola y=–1/2(x–7)[2]2–1?
A line segment has the endpoints U(–2, 4) and V(0, 6). Find the coordinates of its midpoint M.
Write the coordinates as decimals or integers.
M = (-1, 5)
Subtract. Write your answer in simplest form.
-7 square root 2 - 8 square root 2
-15 square root 2
Multiply. Write your answer in simplest form.
square root 15 x square root 10
5 square root 6
square root 125
5 square root 5
What is the vertex of the parabola y=7x[2]+6?
(0, 6)
F(–2, –4) and G(0, –8) are the endpoints of a line segment. What is the midpoint M of that line segment?
Write the coordinates as decimals or integers.
M = (-1, -6)
Add. Write your answer in simplest form.
6 square root 5 + square root 5
7 square root 5
Simplify. Assume k is greater than or equal to zero, and write your answer in simplest form.
(square root 3k[5])[2]
3k[5]
square root 8
2 square root 2
What is the vertex of the parabola y=–8x[2]+1?
(0, 1)
A line segment has the endpoints S(9, 4) and T(7, 0). Find the coordinates of its midpoint M.
Write the coordinates as decimals or integers.
M = (8, 2)
Subtract. Write your answer in simplest form.
- square root 5 - 4 square root 5
-5 square root 5
Multiply. Assume w and x are greater than or equal to zero, and write your answer in simplest form.
square root 2wx x square root 28w[4]x[4]
2w[2]x[2] x square root 14xwxx
square root 27
3 square root 3
What is the vertex of the parabola y=–1/3x[2]–1?
(0, -1)