When the dilation is centered on the origin, you can multiply each of the individual coordinates by the scale factor.
All the coordinates are ±5 and the scale factor is 1/5. Multiplying those gives ±1. The only selection with all coordinates being ±1 is
.. Selection A.
You can check to see if the signs agree in detail. (They do.)
Answer: 2 1/2 miles
Step-by-step explanation:
To subtract fractions with different denominators (in this problem they are 10 and 5), you have to find the least common denominator or LCD (10). Then you have to multiply the numerator and the denominator of 4/5 by 2 to turn the denominator into the LCD (10).
1. So 2 4/5 turns into 2 8/10
2. Then subtract 2 8/10 from 5 3/10 to get the answer 2 1/2
It would be 250 cu. ft.
Say the larger box measures 10x10x20 which would give you a volume of 2,000 cu. ft. The smaller box then would measure half of those lengths or 5x5x10 which would be 250 cu. ft.
3(5x−2)−6x=3(3x+2)
distribute
15x-6 -6x = 9x+6
combine like terms
9x-6 = 9x+6
subtract 9x from each side
-6 =6
no solution
Ben=x
Amy=x-24
x-24/x = 3/5
5x-120 = 3x
5x-3x = 120
2x=120
X= 60
Ben = 60
Amy = 60-24 = 36
