Answer:
hello : solutio ( 6 ; 2)
Step-by-step explanation:
the translation is : x' = x + a ....(*)
y' = y + b ...(**)
calculate the coordinates ( a ; b) of vectro by the translation
you have : x' = -7 y' = 0 x = -6 y = -2
Substitute in (*) , (***) : -7 = -6 +a
0 = - 2 + b
a = -1 and b= 2
so : x' = x - 1
y' = y + 2
calculate now the coordinates of the image of the point (7,0) under the same translation.
x = 7 and b = 0
so : x' = 7-1 = 6 and y' = 0 + 2 = 2
the image is : ( 6 ; 2 )
Answer:
angle DGC and angle CGB are adjacent angles
Out of 8 men, 4 can be selected and lined up in (8 x 7 x 6 x 5) = 1,680 ways.
But within that number, each group of 4 appears in (4 x 3 x 2) = 24 orders.
So there are (1,680 / 24) = 70 different groups of men.
Out of 5 women, 3 can be selected and lined up in (5 x 4 x 3) = 60 ways.
But within that number, each group of 3 appears in (3 x 2) = 6 orders.
So there are (60 / 6) = 10 different groups of women.
Each different group of 70 men can be joined by any of the 10 groups
of women. So the total number of possible subcommittees is (70 x 10) = 700 .
The quadrilaterals are two congruent isosceles trap ezoids and a kite.