equations Flashcards
convert an infinitly repeating decimal to a fraction
used when the repeating series begins after the tenths place.
10^n (x) = 10^n (0.9444….)
where n is the number of digits in the repeating string
C = 2πrh
the formula for the lateral surface of a right circular cylinder
the formula for the lateral surface of a right circular cylinder
C = 2πrh
What is the equation for the x-axis?
y = 0
What is the equation for the y-axis?
x = 0
y = 0
What is the equation for the x-axis?
x = 0
What is the equation for the y-axis?
What is the formula for a slope?
m = y2 - y1 / x2 - x1
What is a slope in standard form?
Ax + By = C
Solve standard form for m.
A(0) + By = C
By = C
y = C/B
(0, C/B)
Ax + B(0) = C
Ax = C
x = C/A
(C/A, 0)
m = (0 - C/B) / (C/A - 0)
m = - C/B / C/A
m = - C/B * A/C
m = - AC / BC
m = - A / B
Identify the values of the constants in the point-slope form of a line.
The point-slope form of a linear equation states that a line with slope m that passes through point (x1,y1) has equation y – y1 = m(x – x1). Any point (x,y) that satisfies the equation lies on the graph of the line.
What is the difference between (x1,y1) and (x,y)
(x1,y1): is a known point on the line.
(x,y): could be any point that falls on the line.
What is the slope-intercept formula
y = mx + b
In the formula y = mx + b, what is m?
The slope.
In the formula y = mx + b, what is b?
The y-intercept.
