What you do is get into the form
(x-h)^2+(y-k)^2=r^2
(h,k) is center
r=radis
complete the square with x and y
x^2+y^2-2x+4y-11=0
group x and y terms together
(x^2-2x)+(y^2+4y)-11=0
take 1/2 of linear coefieicnt and add postive and negative
for x^2-2x, -2/2=-1, (-1)^2=1
for y^2+4y, 4/2=2, 2^2=4
(x^2-2x+1-1)+(y^2+4y+4-4)-11=0
complete the square
(x-1)^2-1+(y+2)^2-4-11=0
add like terms
(x-1)^2+(y+2)^2-16=0
add 16 both side
(x-1)^2+(y+2)^2=16
(x-(1))^2+(y-(-2))^2=4^2
(x-h)^2+(y-k)^2=r^2
(h,k)
(1,-2)
r=4
center is (1,-2)
radius is 4 units
The equation that describes how the dependent variable (y) is related to the independent variable (x) is called the regression model. This equation is a result from the statistical modeling called the regression analysis. It is a method used to estimate relationships of a response variable and predictor variables being measured. The simplest type of regression is the linear regression where the relation ship between the independent variable x and the dependent variable y is being predicted. These equations can be used to predict values that are beyond the measuring values of the experiment. Also, these are used to describe the behavior of the variables.
Answer: Ron take approximately 4.2 hours to make 100 crusts alone.
Step-by-step explanation:
Since we have given that
Number of hours taken by Ron before Harold = 1.2 hours
Number of hours taken by Ron and Harold together = 1.8 hours
We need to find the number of hours taken by Ron alone i.e. 'x'.
Let number of hours taken by Harold alone be '1.2-x'.
Let work done by Ron alone =
Work done by Harold =
According to question, we get that
x-1.2 does not satisfied with x = 0.5 so, x = 4.2
Hence, Ron take approximately 4.2 hours to make 100 crusts alone.
The volume of a sphere, V = (4/3)(PI)(R^3)
Let k = (4/3)(PI)
Therefore, V = k (R^3)
Let R’ = new radius = 2R
V’ =k (R’^3)
= k (2R)^3
= 8 k R^3
= 8 V
The volume would be eight time the original volume.
Answer:
the answer is 123 123+156=279.