We factor out primes from 32 to find it's prime factorization.
32=2*16=2*2*8=2*2*2*4=2*2*2*2*2. 2 is a prime number, so this cannot be reduced further. Since we have five twos and no other primes, the factorization is 2^5, and the only prime factor is 2.
Answer:
144=2x2x2x2x3x3
Step-by-step explanation:
Based on the given conditions, formulate: 5/35
Simplify by dividing by dividing the numerator and denominator by 5: 1/7
Therefore the scale of the drawing is 1/7
Answer:Let the base of the 15ft long ladder be placed x ft away from the wall so that it exactly reaches the top of a 12- foot tall wall.
By Pythagorean theorem
12
2
+
x
2
=
15
2
⇒
x
2
=
15
2
−
12
2
=
81
⇒
x
=
√
81
=
9
ft
Step-by-step explanation:
Answer:
x=8
y = 3
Step-by-step explanation:
x-y=5 and y=11-x
Substitute the second equation into the first
x - (11-x) = 5
Distribute the minus sign
x -11+x = 5
Combine like terms
2x-11 =5
Add 11 to each side
2x-11+11=5+11
2x=16
Divide by 2
2x/2 = 16/2
x=8
Now find y
y=11-x
y=11-8
y=3