The answer is B. If you divide y by x such as (2.4/4) you get 0.6 and so on.
Answers:
Center = (-2.5, 0.5)
Radius = 2.1213 units approximately
Note: The center written in fraction form is (-5/2, 1/2)
--------------------------------------------------------------------
Work Shown:
x^2 + y^2 + 5x - y + 2 = 0
x^2 + 5x + y^2 - y + 2 = 0
x^2 + 5x + y^2 - y = -2
x^2 + 5x + 6.25 + y^2 - y = -2 + 6.25 <<--- see note1 below
(x^2 + 5x + 6.25) + y^2 - y = 4.25
(x + 2.5)^2 + y^2 - y = 4.25
(x + 2.5)^2 + y^2 - y + 0.25 = 4.25 + 0.25 <<--- see note2 below
(x + 2.5)^2 + (y^2 - y + 0.25) = 4.5
(x + 2.5)^2 + (y - 0.5)^2 = 4.5
The equation is in the form (x-h)^2 + (y-k)^2 = r^2
where,
h = -2.5 = -5/2
k = 0.5 = 1/2
r = sqrt(4.5) = 2.1213 approximately
So that's why the center is (-5/2, 1/2) = (-2.5, 0.5) and the radius is approximately 2.1213 units
note1: I took half of 5 to get 5/2 = 2.5 then I squared it to get (2.5)^2 = 6.25; The value 6.25 is added to both sides. This is done to complete the square for the x terms
note2: Similar to note1, but done for the y terms now. I took half of -1 to get -1/2 = -0.5 and then squared it to get (-0.5)^2 = 0.25, which is added to both sides
Answer:
247
Step-by-step explanation:
Hello!
We first have to find the volume of the bigger cylinder
We use the equation
Put in the values you know
This is 6234.49
Now we find the volume of the cut out part
This is 3180.86
We subtract the two values
6234.49 - 3180.86 = 3053.63
The answer is 3053.6
Hope this helps!
Answer: (c)
Step-by-step explanation:
Given
The function is
Range of a function describes the values y can take
from the graph it is clear that the maximum value of y is 5
Hence. option (c) is correct.