Question
A) Use the distance formula to find the distance between the two points. (-2, 18) and (4, 10) B) Identify the center and radius of
A) Use the distance formula to find the distance between the two points.
(-2, 18) and (4, 10)
B) Identify the center and radius of the circle.
(x+ 8)^2 + (y- 9) ^2 = 121
C) Identify the center and radius of the circle.
x^2+ 9x+y^2- 3/2y= 10
D) Use the equation of the parabola in standard formy=a(x-h)^2 + k to determine the coordinates of the vertex and the equation of the axis of symmetry (complete the square if necessary).Thengraph the parabola.
y= (x+ 2)^2+ 1
E) Use the equation of the parabola in standard formy=a(x-h)^2 + k to determine the coordinates of the vertex and the equation of the axis of symmetry (complete the square if necessary).Thengraph the parabola.
y= (x+ 2)^2+ 2
F) Determine the vertex by using the vertex formula.
y= -1/8x^2+x+1/8
G) Determine if the equation represents an ellipse or a hyperbola.
(x-3)^2/4 +(y-1)^2/16 = 1
H) Expand the binomial. Use Pascal's triangle to find the coefficients.
(2 +y)^4
I) Expand the binomial. Use Pascal's triangle to find the coefficients.
(x^5+y)^6
J) Evaluate the expression.
6! /3! x 3!
K) Find the first three terms of the expansion.
(p+q^2)^12
L) Use the binomial theorem to expand the binomial.
(4x-y)^4
M) Find the indicated term of the binomial expansion.
(2r-s^2)^9; seventh
N) List the terms of the sequence.
^an = ( -1)^n n+1/n-6, 1 n 4
O)Find a formula for thenth term of the sequence.
1,1/8, 1/27, 1/64,....
P) Write the first five terms of the arithmetic sequence.
a1= -1,d= 3
Q) Write thenth term of the arithmetic sequence.
0, 3, 6, 9, 12
R) Write thenth term of the arithmetic sequence.
1, 7/6, 4/3, 3/2, 5/ 3,...
S) Determine the common ratio,r, for the geometric sequence.
12, 3,3/4, 3/16, ...
T) Find thenth term of the geometric sequence.
-8, 16, -32, 64, ...
U) Find the sum of the geometric series.
5 + 1 + 1/5 + 1/25 + 1/125
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