Answer: f-1 (x) = x/4
Step-by-step explanation:
3:9 and if you reduce it again, 1:3
Answer:
Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 2. and then rotating it about the origin by 180 degrees
Step-by-step explanation:
Step 1: Dilation by a scale factor of 1/2.
A point (x, y) is sent to (1/2 x, 1/2 y).
A(2, 2) ---> (1, 1)
B(2, 10) ---> (1, 5)
C(8, 12) ---> (4, 6)
Step 2: Rotate about the origin 180 degrees
A point (x, y) is sent to (-x, -y).
(1, 6) ---> A'(-1, -1)
(1, 5) ---> B'(-1, -5)
(4, 6) ---> C'(-4, -6)
Answer:
12
Step-by-step explanation:
4x + 5y = 3 ................ (i)
kx + 15y = 9................(ii)
Dividing eqn (ii) by 3, we get,
k/3 x + 5y = 3.............(iii)
Subtracting eqn (iii) by eqn (i), we get,
-4x - k/3 x = 0
or, -(4 - k/3 )x = 0
or, 4 - k/3 = 0/x
or, 4 - k/3 = 0
or, 4 = k/3
or, k = 4*3
:. k = 12 (Ans)
