Answer:
40

Step-by-step explanation:
The figure is a rectangular prism, so the formula would be Volume = length x width x height.
length = 6
cm
width = 2
cm
height = 2
cm
If you plug everything you have in the problem into the volume equation, you would get : Volume = 6
cm x 2
cm x 2
cm.
Without a calculator, I would first turn the mixed numbers into improper fractions.
- 6
= 
- 2
= 
Volume =
x
x
When you multiply everything together you should get
.
As a mixed number, that would be 40
.
<span>A) 2a + 3b = 12
B) ab = 6 solving for a
B) a = 6 / b then we substitute this into equation A)
</span><span>A) 12 / b + 3b = 12 </span><span>multiplying this by "b"
A) 12 + 3b^2 = 12b
A) 3b^2 -12b +12= 0 dividing by "3"
A) b^2 -4b + 4 = 0
Factoring
(b-2) * (b-2) = 0
b = 2
Since b = 2 then a = 3
</span>NOW, we put these numbers into:
<span>8a^3 +27b^3
</span>
8*3*3*3 + 27*2*2*2
216 + 216
The answer is 512
Answer:
9
Step-by-step explanation:
forget all this grammar,
let the number be x,
x = {18(15-12)} / 6
x = {18(3)} / 6
x= 54/6
x= 9
value is therefore 9
Answer:
The standard form as
Step-by-step explanation:
Given: A function which is written in vertex form or intercept form.
We have to re-write it in standard form that in terms of
Given 
Squaring using
, we get,

Multiply 5 inside , we get,

Solving further , we get,
Thus , we have obtained the standard form as
Answer:
143 cm²
Step-by-step explanation:
There are 3 pairs of sides to this shape,
1 pair is the top and bottom pieces, each has an area of 4(3) = 12 cm², so there are 24 cm² from this pair.
the second pair is the front and back pieces, each has an area of
4(8.5) = 34 cm², so there are 68 cm² from this pair.
the third pair are the side pieces, each has an area of
3(8.5) = 25.5 cm², so there are 51 cm² from this pair.
Al together there are 24 + 68 + 51 = 143 cm²