Answer:
Step-by-step explanation:
One of the most important things to understand about lines is the definition of slope. Slope is the 'steepness' of the line, also commonly known as rise over run. We can calculate slope by dividing the change in the y-value between two points over the change in the x-value.
X^2 + y^2 - x - 2*y = 0
To find both coordinates and radius we need to make this equation in circle form:
(x-a)^2 + (y-b)^2 = r^2
x^2 - 2*1/2*x + 1/4 - 1/4 + y^2 - 2*1*y + 1 - 1 = 0
Here we are adding and subtracting numbers in order to get square binomial.
(x - 1/2)^2 + (y-1)^2 = 5/4
coordinates of center are (1/2,1) and the radius is √
Answer:
The radius of convergence is half of the length of the interval of convergence. If the radius of convergence is R then the interval of convergence will include the open interval: (a − R, a + R). To find the radius of convergence, R, you use the Ratio Test.
Answer:
Slope (m) = 18
/-17
=-1.0588235294118
Step-by-step explanation:
Given:
y-intercept of the graph: (0, 90)
zeros: 5 and 9
The equation that models the function based on the zeros given, is either
y = 90 (x-5) (x-9)
or
y= 2(x-5)(x-9)
try solving for the y-intercept of each function,
y = 90 (0-5) (0-9)
y = 4050
(0, 4050)
y = 2(0-5) (0-9)
y = 90
(0, 90)
therefore, the equation that models the function is y = 2(x-5)(x-9)