Given:
Square DEFG = SIDE LENGTH = 2 UNITS
Square D'E'F'G' = SIDE LENGTH = 6 UNITS
The question was which scale factor was used to dilate square DEFG to square D'E'F'G'
From a side length of 2 units to a side length of 6 units
The scale factor used is 3.
2 * scale factor = 6
scale factor = 6/2
scale factor = 3
First I would distribute the left part like so:
12x - 18 - (5x + 7)
Then I would distribute the right side like so: (I'm just distributing a negative sign)
12x - 18 - 5x - 7
Then I combine like terms like so: (12x and -5x)
7x - 18 - 7
Then I would combine the other like terms like so: (-18 and -7)
7x - 25
I hope that helps! Feel free to let me know if you have any questions! :3
- mathwizzard3
Answer:
Option 3: take base-4 log each side
In case of multiple answers:
Options 3,4 & 5
Step-by-step explanation:
4^(x+3) = 18
Apply log4 both sides to being the power down
You can take log with any other base too.
In case of multiple answers, options 4 and 5 are also valid
An example for #1 would be that: 15 is divisible by 3, but not 9. every third multiple of 3, (9, 18, 27,...) is divisible by 9 because 9 is three times the size of 3.
For part two the first number that I thought of is 23.
