Answer:
The LCM is 
Step-by-step explanation:
To find the LCM, we find the prime factorization of each expression.
For the first expression, we have
For the second expression, we have
For the LCM, we multiply the highest powers common to both prime factorization.
The Least Common Multiple is
Answer:
the answer is C. 12
Step-by-step explanation:
<span><u>Answer
</u>
Left border = 8 feet
Lower border =32 feet
Area=128 〖ft〗^2
<u>Explanation </u>
The area is a right triangle.
Let us take the left border to be y feet and the lower border to be x feet
Area=1/2 yx
The cost of fencing would be 4y+x=64.
From this expression x=64-4y
Substituting this value of x in the area we have;
Area=1/2 y(64-4y)
A=32y-2y^2
To get the maximum area of the triangle the first derivative of the area would te equal to zero.
A=32y-2y^2
dA/dy=32-4y=0
4y=32
y=8
Since x=64-4y
x=64-(4×8)=32
The dimensions of the garden are 8 feet by 32 feet.
Since the garden is a right triangle,
Area=1/2×8×32
Area=128 〖ft〗^2
</span>
Answer:
14/15
Step-by-step explanation:
9/15+5/15=14/15
1.
The 5/65 can be simplified, the a³ moves to the denominator, and bc is canceled from the numerator and denominator.
2. The 10/125 can be simplified, the a³ moves to the denominator, and bc is canceled from the numerator and denominator.
3. The 65/5 simplifies, the a³ moves to the numerator, and bc is canceled from the numerator and denominator.
4. The 10/130 simplifies, the b² cancels out in the numerator and denominator, and the
moves to the numerator.
5. The 10/130 simplifies, the b² cancels out in the numerator and denominator, the
moves to the numerator, and the
moves to the numerator.
I believe the only expression that simplifies to
is the first one.
