Answer:
x= -14
Step-by-step explanation:
6(x+2)=-72
(you can use the distribution property)
6x+12=-72
-12 -12
6x=-84
/6 /6
x= -14
Answer:
8
Step-by-step explanation:
12-8=4
4 times 2 =8
Answer:
(8) d. 4/3 (9) a. (X - 4)^2 + (y-4)^2= 25
Step-by-step explanation:
8. CENTER OF CIRCLE: O (2,6)
radius of circle : r = √4 = 2
if m = 4/3 line: y = 4/3 x
perpendicular distance (d) from center of circle to line y = 4/3 x is
d = |((4/3 x 2) + (-1) x 6)| / √((4/3)² + (-1)²) = |(-10/3)| / √(25/9) = (10/3) / (5/3) = 2
d = r means line touch with circle
9. center of circle is the intersection of the diagonals of rectangle (4,4) and its radius is 5 (illustrated)
the equation of circle: (X - 4)^2 + (y-4)^2= 25
Answer:
The probability is 
Step-by-step explanation:
From the question we are told that
The number of members is n = 15
Generally the number of ways of selecting two member from the fifteen members is mathematically represented as

Here C stands for combination hence we will be making use of the combination functionality in our calculator

=> 
=> 
Gnerally the number of outcome that matches the outcome required by the committee(Which is reselecting the member who where the chairman and vice chairman of the board ) is m = 1
Generally the probability of randomly selecting the two members who currently hold the positions of chairman and vice chairman and assigning them to their current positions is mathematically represented as

=> 
=>
=>