Answer:
D. (6,-1)
Step-by-step explanation:
Translating is just sliding slide the point B down 4 units from where it is and then move over 6 units to the right.
Answer:

Step-by-step explanation:
Let M denote the event that the stock makes money and D denote the event that the stock pays dividends.
It is given that 
Observe that the two events M and D are not independent because if the stock doesn't make money then it will not pay dividends. Therefore the event
(D given M does not occur) is a null event, i.e
It is also given that,

Recall that : 
Here, we are required to find 

Point form: (1,-1)
equation form: x = 1, y = -1
We have y = -2 - 2x ;
Then, x + ( -2 - 2x ) = 5 ;
x - 2 - 2x = 5;
- x - 2 = 5 ;
-x = 7 ;
x = - 7;
Finally, y = - 2 - 2 × ( - 7 ) ;
y = - 2 + 14 ;
y = 12;
<span>The x coordinate of the solution to the system is - 7 .</span>
Answer:
a = 21
b = 63
c = 42√3
d = 21√3
Step-by-step explanation:
The sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. The given side (42) is the longest side of the smallest triangle, and the shortest side of the largest triangle.
That means the other sides of the smallest triangle will be ...
a = 42/2 = 21
a+b = 2(42) = 84
b = (a+b) -a = 84 -21 = 63
d = 21√3 . . . . middle-length side of the smallest triangle
c = 42√3 . . . . middle-length side of the largest triangle
The values of the variables are ...
- a = 21
- b = 63
- c = 42√3
- d = 21√3