Answers:
Center = (-2.5, 0.5)
Radius = 2.1213 units approximately
Note: The center written in fraction form is (-5/2, 1/2)
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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
32 ways to change it up some but maybe more
15f -8f+ 13= 55
⇒ 7f+ 13= 55
⇒ 7f= 55- 13
⇒ 7f= 42
⇒ f= 42/7
⇒ f=6
Final answer: f=6~
Answer:
D) <c and <e
Step-by-step explanation:
<c and <e
Answer:
A parameter is defined as a numerical or another measurable factor that conforms a set that defines a given system.
In this case, the only parameter that we have is the number of siblings that each one of the 100 students has.
For example, in a table:
#student #siblings.
1 3
2 1
3 4
... ...
In the left side, we have the "number of the student" that does not really matter, because the students are randomly selected, and at the right, we can see our only parameter in this study, that is the number of siblings that each student has.