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Volume of a cube = s³
Therefore, s³ = 512, meaning that s = 8.
The question asks what the resulting volume would be if all sides of the cube were divided by 4.
The current side measures 8, and we know that 8/4 = 2.
Thus, the resulting volume = s³ = 2³ = 8 cubic mm.
<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:
A.8 B.(-1,4) C.(1,4)
Step-by-step explanation:
First, know that (3,2)=(x1,y1) and (-5,6)=(x2,y2)
A. The diameter is 8, given the diference between x1 and x2: 3-(-5)=8
B. The center point is given by (x1+x2)/2 and (y1+y2)/2
(x1+x2)/2 and (y1+y2)/2 = (3-5)/2 and (2+6)/2 = (-1,4)
C. The symmetric point of C about the x-axis is (1,4)
You can do this on a calculator if you search up online radius and height measurement calculator.