Answer:
Step-by-step explanation:
Given the original coordinate as C (-6, 9) and new coordinates after dilation as C' (-2, 3), we can see that the value of the new coordinates has reduces by a factor. Let the factor be k
For the x coordinates:
C' = kC
x' = kx
-2 = k(-6)
-2 = -6k
Divide both sides by -6
k = -2/-6
k = 1/3
For the y-coordinates:
y' = ky
3 = 9k
Divide both sides by 9:
3/9 = 9k/9
1/3 = k
k = 1/3
Hence the scale factor of the dilation is 1/3
Answer:
lcm of
Step-by-step explanation:
it is 12and 2.........
Answer:
The greatest common factor of 12 and 36 is 12.
Hope this helps.
Question 1:
For this case we must rewrite the following equation:

If we add 3x to both sides of the equation we have:

Thus, we have that an equivalent expression is option C.
Answer:
Option C

Question 2:
For this case we must solve the following equation:

Subtracting 5 from both sides of the equation we have:

Dividing between -5 on both sides of the equation we have:

Answer:
Option B
Answer:
55
Step-by-step explanation:
If Kathi´s line is 30cms longer than Shanking´s, you would just add 30 and 25 to get the length of Kathi´s line.