Answer:
Yes, Sienna is correct because 6 times 2 is 12 and 3 times 4 is 12.
Answer:
5 sqrt(6)
Step-by-step explanation:
sqrt(150)
We know that sqrt(ab) = sqrt(a) sqrt(b)
sqrt(25) sqrt(6)
5 sqrt(6)
Answer:
height = 6 mm
Step-by-step explanation:
The prism is a rectangular prism. The base area of the prism is 24 mm². The volume of the prism is given as 144 mm³.
The height of the prism can be solved as follows.
Volume of the rectangular prism = Bh
where
B = base area
h = height
Volume = 144 mm³
B = 24 mm²
volume = Bh
144 = 24 × h
144 = 24h
divide both sides by 24
h = 144/24
h = 6 mm
Answer:

Step-by-step explanation:

Split the second term (5x) into two terms. Multiply the coefficient of the first term (2) by the constant term (3):

Find which two numbers add up to 5 and multiply into 6:

Split 5x as the sum of 3x and 2x:

Now factor out a common term for the first 2 terms:

And do the same for the last 2 terms:

Re-insert:

Factor out the common term 2x+3 and insert the values in front of the parentheses (x and 1):

Separate the parentheses and equal them to 0. Solve for x:

and
