Answer:
A
Step-by-step explanation:


Remember that
x^(b-c)
Using that
=3^(1/2x-1/2)=3^((x-1)/2)

So we can say:
, because the bases are the same
We can multiply both sides of the equation by 2. We get x-1=2, and x=3. Which is A.
The cross-section of a cube, if the slice is made parallel to one of the faces, would be a square congruent to the face of the cube.
Answer:

Step-by-step explanation:

Use cross products to simplify the equation. Multiply the denominator of the second fraction by the numerator of the first fraction, and the denominator of the first fraction by the numerator of the second,

Simplify,

Inverse operations,

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