Coordinate geometry
What is the equation of a straight line? And what are these coefficients stand for?
y=kx+b
k- gradient
b- y-intercept
what is the general equation of a circle?
Use the difference formula to find the general term of the sequence:
4, 11, 18, 25, 32
un=7n-3
Rewrite as a single logarithm
log64+log69
log636 = 2
Show me an equation for the parabala translated 2 points to the right
y=(x-2)2
Write the equation for a circle with center (13. -13) and radius 4
(x-13)2+(y+13)2=16
Use the difference formula to find the general term:
-1, 6, 15, 26, 39, 54
un=n2+4n-6
solve the following equation:
2log5x=1+log56
sqroot of 30
Show me an equation for the parabala translated down for 5 points
y=x2-5
Determine the center and radius of the circle
x2+y2+4x+4y-17=0
center (-2, -2)
radius = 5
For this arithmetic progression find the sum of the first 11 terms:
40, 35, 30 ...
165
Solve the following equation
42x-10*4x+16=0
x=1.5
x=0.5
Show me an equation for the cubic parabols translated up for 4 points and lest for 3 points
y=(x+3)3+4
A circle has a diameter with endpoints (6, 5) and (8,5).
Write the equation of the circle.
(x-7)2+(y-5)2=1
For this geometric progression find the sum of the first 9 terms:
64, -32, 16, ...
42.75
7x+1=3x+2
0.3