Answer: (27, 9)
Multiply the original coordinates by the scale factor 3 to get this answer
9*3 = 27
3*3 = 9
This only works if the center of dilation is the origin.
The general rule is
where k is the scale factor.
Answer:
x = -1
Step-by-step explanation:
Solve for x:
12 = 24 - 4 (-6 x - 3)
-4 (-6 x - 3) = 24 x + 12:
12 = 24 x + 12 + 24
Grouping like terms, 24 x + 12 + 24 = 24 x + (12 + 24):
12 = 24 x + (12 + 24)
12 + 24 = 36:
12 = 24 x + 36
12 = 24 x + 36 is equivalent to 24 x + 36 = 12:
24 x + 36 = 12
Subtract 36 from both sides:
24 x + (36 - 36) = 12 - 36
36 - 36 = 0:
24 x = 12 - 36
12 - 36 = -24:
24 x = -24
Divide both sides of 24 x = -24 by 24:
(24 x)/24 = (-24)/24
24/24 = 1:
x = (-24)/24
The gcd of -24 and 24 is 24, so (-24)/24 = (24 (-1))/(24×1) = 24/24×-1 = -1:
Answer: x = -1
Answer:
First term a₁ = 3/2 and common ratio r = 2
Step-by-step explanation:
We need to find the first term and common ratio while we are given third term = 6 and seventh term = 96
Since common ratio is required so, the sequence is geometric sequence
The formula used is: 
We are given: third term = 6 i,e

Seventh term = 96

Dividing eq(2) and eq(3)

So, Common Ratio r = 2
Finding First term using eq(1)

So, First term a₁ = 3/2 and common ratio r = 2
In this big ol' word problem, this is just an instance of basic multiplication/division.
If it takes it 1 hour for 3 meters...
12 ÷ 3 = 4.
It would take 4 hours for the water level to change to 12 meters.
9+x / 3x = 5/6
If you look at it as a proportion, then you can "cross-multiply" it"
(9+x) · 6 = 3x · 5
54 + 6x = 15x
Subtract 6x from each side:
54 = 9x
Divide each side by 9 :
6 = x