Answer:
∴ The greatest number that divides 210, 252 and 294 is 42.
Step-by-step explanation:
We have to find the LCM of the given rows 12, 15 and 40. (Taking Highest Powers). Therefore, least number of saplings that can be arranged in given rows are 120.
Answer:
63.75
Step-by-step explanation:
i needed points
Answer:
GCD(343,550) = 1
LCM(343,550) = 188650
GCD(89,110) = 1
LCM(89,110) = 9790
GCD(870,222) = 6
LCM(870,222) = 32190
Step-by-step explanation:
a) GCD(343,550)
343 - 550 | 1
...
There are no values for which both 343 and 550 are divisible by, so GCD(343,550)=1.
LCM(343,550)
343 - 550 | 2
343 - 275 | 5
343 - 55 | 5
343 - 11 | 7
49- 11 | 7
7 - 11 | 7
1 - 11 | 11
1 - 1
So LCM(343,550) = 2*5*5*7*7*7*11 = 188650
b) GCD(89,110)
Again, as in a), there are no values for which 89 and 110 are divisible by. So GCD(89,110) = 1.
LCM(89,110)
89 - 110 | 2
89 - 55 | 5
89 - 11 | 11
89 - 1 | 89
1 - 1
So LCM(89,110) = 2*5*11*89 = 9790
c) GCD(870,222)
870 - 222 | 2
435 - 111 | 3
145 - 37
There are no numbers for which 145 and 37 are both divisible by, so the algorithm ends there, and GCD(870,222) = 2*3 = 6
LCM(870,222)
870 - 222 | 2
435 - 111 | 3
145 - 37 | 5
29 - 37 | 29
1 - 37 | 37
1 - 1
So LCM(870,222) = 2*3*5*29*37 = 32190
Answer:
x, y, 4, 0
Step-by-step explanation:
To determine the inverse of the given function change f(x) to y switch <u><em>x</em></u> and y and solve for <u><em>y</em></u>.
f(x) = sqrt(x - 4)
y = sqrt(x - 4)
x = sqrt(y - 4)
x^2 = y - 4
x^2 + 4 = y
y = x^2 + 4
The domain of the inverse is the same as the range of the original function.
inverse f(x) = x^2 + 4
x^2 + 4 >= 4
x^2 >= 0
x >= 0
The resulting function can be written as inverse f(x) = x^4 + <u><em>4</em></u>, where x >= <u><em>0</em></u>.