Hello from MrBillDoesMath!
Answer:
Solutions: x = +\- 5i or x = +\- sqrt(5)
Discussion:
Factor x^4 - 25:
x^4 - 25 = (x^2+5) (x^2-5) => factor x^2 - 5
x^4 - 25 = (x^2+5)(x + sqrt(5)) (x - sqrt(5)) => factor x^2 + 5
x^4 = 25 = (x +5i)(x-5i) (x + sqrt(5)) (x - sqrt(5))
Hence the solutions are
x = +\- 5i and x = +\- sqrt(5)
Thank you,
MrB
Answer:
length = 24 meters
Step-by-step explanation:
1. l = 2w
2. P = 2l + 2w
P=72
3. 72 = 2l + 2w
4. Substitute w=l/2 to solve for l
72 = 2l + 2(l/2) ---> 72 = 3L - Divide by 3 on both sides
L= 24 meters
In base 5 the place values (from right to left) are the ones place, the 5's place and the 25's place. The highest digit you can write in any column is a 4.
333 would be (3 x 25) + (3 x 5) + (3 x 1) which is 93 in base 10.
30 would be (3x5) + (0 x 1) which is 15 in base 10.
The sum of 93 and 15 is 108 in base 10.
Now lets write that in base 5 - We can have 4 25's so there will be a 4 in the 25's column. Since 4 x 25 = 100 we still have to account for 8 to get to 108.
We can have 1 five in the 5's columns since 1 x 5 is 5. Now we have 3 left over which we can place in the one's column
Final answer 333₅ + 30₅ = 413₅
w + 15 since increased by 15 means add on
12y + 11 since product of 12 and y means multiply 12 and y = 12y
one half n - 16 since one half of n and decreased by 1 6 , subtract 16
2b - 6 since Corinne is 6 years younger represented by b - 6
sum of their ages = b + b - 6 = 2b - 6
9h + 40
$ 9 per hour for h hours = 9 × h = 9h plus the $ 40 from carpool
B....................................................................................
