Answer:
Positive
Step-by-step explanation:
A negative divided by a negative can cancel out to make a positive. So,
.
I hope this helps!
Try to divide by each prime number starting with 2. If it is divisible, keep trying the same prime number until it is not divisible. Then move on to the next prime number, 3. Keep dividing until you get 1. All the prime numbers you divided by are the prime factorization.
List of the first several prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29
Start with 85.
85 is not divisible by 2.
Move on to 3.
85 is not divisible by 3.
Move on to 5.
85/5 = 17
17 is a prime number, so now divide 17 by 17.
17/17 = 1
We divided just by 5 and 17.
Answer: The prime factors of 85 are 5 and 17.
X=length
y=width
Area (rectangle)=length x width
we suggest this system of equations:
y=x/5
xy=9/20
solve this system of equations by substitution method:
x(x/5)=9/20
x²/5=9/20
Least common multiple=20
4x²=9
x²=9/4
x=⁺₋√(9/4)
we have two solutions:
x₁=-3/2 it does not validate
x₂=3/2 ⇒y=x/5=(3/2)/5=3/10
The dimensions of the lake are:
lengh=3/2 miles
width=3/10 miles
to check:
Area=3/2 miles x 3/10 miles=9/20 miles².
width is 1/5 the length of the lake ⇒ 3/10 miles=(3/2) /5 miles