Answer
X(2, -8)
Step-by-step explanation:
-8 and -3 have a distance of 5
6 and -1 have a distance of 7
-3 + 5 = 2
-1-7 = -8
(2, -8) is the answer
Answer:
The expression that represents the total time Louis spends commuting to and from the gym each day is 8(x-2y)
Step-by-step explanation:
Given that the time Louis spends commuting to the gym can be represented by two expressions:
Time to gym:
Time from gym:
To find the expression that represents the total time Louis spends commuting to and from the gym each day :
The total time Louis spends commuting to and from the gym each day is equal to the sum of the Time to gym and Time from gym
Total time Louis spends commuting to and from the gym each day=2x-6y+6x-10y
=8x-16y
=8(x-2y)
Therefore Total time Louis spends commuting to and from the gym each day is 8(x-2y)
The expression that represents the total time Louis spends commuting to and from the gym each day is 8(x-2y)
Answer:
Step-by-step explanation:
(6y-5)+(10y-41)+(12x+22)=180
16y+12x-24=180
16y+12x=204
y=12.75
x=17
Answer:
- number of multiplies is n!
- n=10, 3.6 ms
- n=15, 21.8 min
- n=20, 77.09 yr
- n=25, 4.9×10^8 yr
Step-by-step explanation:
Expansion of a 2×2 determinant requires 2 multiplications. Expansion of an n×n determinant multiplies each of the n elements of a row or column by its (n-1)×(n-1) cofactor determinant. Then the number of multiplies is ...
mpy[n] = n·mp[n-1]
mpy[2] = 2
So, ...
mpy[n] = n! . . . n ≥ 2
__
If each multiplication takes 1 nanosecond, then a 10×10 matrix requires ...
10! × 10^-9 s ≈ 0.0036288 s ≈ 0.004 s . . . for 10×10
Then the larger matrices take ...
n=15, 15! × 10^-9 ≈ 1307.67 s ≈ 21.8 min
n=20, 20! × 10^-9 ≈ 2.4329×10^9 s ≈ 77.09 years
n=25, 25! × 10^-9 ≈ 1.55112×10^16 s ≈ 4.915×10^8 years
_____
For the shorter time periods (less than 100 years), we use 365.25 days per year.
For the longer time periods (more than 400 years), we use 365.2425 days per year.
Answer:
477
Step-by-step explanation:
- (3.2 × 104) = 332.8
- (1.4 × 103) = 144.2
- Plug the answers above in: (332.8) + (144.2)
- (332.8) + (144.2) = 477
I hope this helps!