Answer:
The correct option is the letter "C", 
.
Step-by-step explanation:
The standard form for a circle's equation has the following structure:
Where 
are the coordinates of the center of the circle and 
is the radius. Applying the data from the problem we have:
![(x - x_c)^2 + (y - y_c)^2 = r^2\\\[[x - (-2)]^2+ [y - (-10)]^2 = (1.2)^2\\(x + 2)^2 + (y + 10)^2 = 1.44](https://tex.z-dn.net/?f=%28x%20-%20x_c%29%5E2%20%2B%20%28y%20-%20y_c%29%5E2%20%3D%20r%5E2%5C%5C%5C%5B%5Bx%20-%20%28-2%29%5D%5E2%2B%20%5By%20-%20%28-10%29%5D%5E2%20%3D%20%281.2%29%5E2%5C%5C%28x%20%2B%202%29%5E2%20%2B%20%28y%20%2B%2010%29%5E2%20%3D%201.44)
Therefore the correct answer is the letter "C", .
Solate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
−
9
2
≤
x
≤
−
1
2
-
9
2
≤
x
≤
-
1
2
Interval Notation:
[
−
9
2
,
−
1
2
]
Answer: 46 years
Step-by-step explanation:
Let the father's age be x and the son's age be y, then 3 years ago:
Father = x - 3
son = y - 3
Then , from the first statement :
x - 3 = 3 ( y - 3 )
x - 3 = 3y - 9
x = 3y - 9 + 3
x = 3y - 6 .......................................... equation 1
In five years time
father = x + 5
son = y + 5
Then , from the second statement
x + 5 = 2 ( y + 5 )
x + 5 = 2y + 10
x = 2y + 10 - 5
x = 2y + 5 ........................ equation 2
Equating equation 1 and 2 , we have
3y -6 = 2y + 5
add 6 to both sides
3y = 2y + 5 + 6
subtract 2y from both sides
3y - 2y = 11
y = 11
substitute y = 11 into equation 1 to find the value of x
x = 3y - 6
x = 3(11) - 6
x = 33 - 6
x = 27
This means that the father is presently 27 years and the son is presently 11 years.
In four years time
father = 27 + 4 = 31
son = 11 + 4 = 15
sum of their ages in four years time will be
31 + 15 = 46 years
A = l*w and if 8 is both the length and width, then the expression would be 8 squared
Answer:
1/6
Step-by-step explanation:
Probability= no. of possible outcomes÷ no. of total outcomes
