So exg
prime factorization is finding the prime number that will multiply to getthat tnumber
normally we exclude the number 1
so prime factor of 6=2 times 3
note:2*3 menas 2 times 3
so 891
it is odd so not divisible by 2
try 3
891/3=297
3*297=891
factor further
297
try 3
297/3=99
3*3*99=891
99
divide by 3
33
3*3*3*33
33
divide by 3
11
3*3*3*3*11
11 is prime so the prime factoization is
3*3*3*3*11 or 3^4*11
when people say " in lowest terms" they usually mean like the simplified version of an answer
an example of this would be like
make
into lowest terms
the answer would be 
if you dont understand comment on this and ill try to break it down more
Answer:
Step-by-step explanation:
Equations
x + y = 29
x^2 + y^2 = 425
Solution
y = 29 - x
x^2 + (29 - x)^2 = 425
x^2 + (841 - 58x + x^2 ) = 425
x^2 - 58x + x^2 + 841 - 425 = 0
2x^2 - 58x +416 = 0
a = 2
b = - 58
c = 416
You get two answers that look valid
2x^2 - 58x + 416 = 0
x^2 - 29x + 208 = 0 This factors
(x - 16)(x - 13) = 0
x = 16
y = 13
Now check it
16^2 + 13^2 = ? 425
256 + 169 = 425
My solution to the problem is as follows:
sqrt(294) - sqrt(24) + sqrt(54)
= sqrt(49 * 6) - sqrt(4 * 6) + sqrt(9 * 6)
= sqrt(49)*sqrt(6) - sqrt(4)*sqrt(6) + sqrt(9)*sqrt(6)
= 7*sqrt(6) - 2*sqrt(6) + 3*sqrt(6)
= (7 - 2 + 3)*sqrt(6)
= 8*sqrt(6)
= sqrt(64)*sqrt(6)
<span>= sqrt(384)
= 8*sqrt(6)
Therefore, the answer is letter B, 8 square root of 6
</span>
I hope my answer has come to your help. God bless and have a nice day ahead!
Answer: 1 minute 33 seconds
Step-by-step explanation:
Theo is practicing for a 5 km race which he usually runs for a normal time of 25 minutes and 19 seconds
but yesterday, he ran for only 23 minutes and 43 seconds.
From the above information,
Normal time = 25 minutes and 19 seconds.
Yesterday's time= 23 minutes and 43 seconds
To know how much faster Theo ran, we find the difference between the normal time and yesterday's time which is.
25 minutes 19 seconds - 23 minutes 43 seconds
25 minutes 19 seconds
- 23 minutes 43 seconds
= 1 minute 36 seconds.
He ran 1 minute 33 seconds faster.