2x - 3 = 15
2x = 15 + 3 = 18
x = 18/2 = 9
Therefore, the equired value of x is 9.
<span>Any natural number can be expressed as a product of its prime factors. A prime factor of x is a prime number that perfectly divides x (so that the rest is equal to 0). In our case, 1386 = 2*3*3*7*11. You can get this result by trying to divide the number (1386) by 2, 3, 5, 7, 11 and so on. Every time you successfully divide it by a prime number (starting from 2), you use the result you obtain and try to divide it using the same strategy. When the current number can no longer be divided by a prime number, you go to the next prime number and try to divide it by that number. At the end you multiply the prime numbers you managed to divide your number by.</span>
If Aidan can fill 1 potted plant from a full bucket but still have enough left for 3 more, this means Aidan can water 4 plants per full bucket. And if you multiply that 4 by 3 full buckets, it gives you 12, which is the amount of plants 3 full buckets can water.
To find the length of each side of the trapezoid, you need to use the distance formula.
AB = (-3,2) and (1,5)
BC = (1,5) and (7,-3)
CD = (7, -3) and (0, -2)
AD or DA = (0,-2) and (-3,2)
Now, just use the distance formula for each line. Doing so gives us:
AB = 5
BC = 10
CD = 7.071107...
DA or AD = 5
The height is AB, the first base is BC and the second base is CD. We can plug the values for these sides into the trapezoid area formula, which is A = base 1 + base 2 all over 2 times the height. Doing so gives us 37.5 units². Therefore, the answer to your query is 37.5 units². Hope this helps and have a nice day!
