Answer:
It is not letting me to download!!!
Step-by-step explanation:
<span>(12xy)^2
Expand:
12^2*x^2*y^2
= 144x^2*y^2</span>
To solve, lets find the volumes of all of the options...
V=l*w*h
A.
6*3*4=72cm³
12*2*3=72cm³
B.
2*4*9=72cm³
9*4*2=72cm³
C.
3*3*8=72cm³
2*6*8=96cm³
D.
6*3*4=72cm³
9*4*3=108cm³
We can conclude that C & D aren't the answer, since they contain prisms that don't have a volume of 72cm³.
Now lets solve for the surface area of A and B...
A.
sA=2(wh+lw+lh)=2(6*3+4*6+4*3)=2(18+24+12)=2(54)=108cm²
sA=2(wh+lw+lh)=2(12*2+3*12+3*2)=2(24+36+6)=2(56)=112cm²
B.
sA=2(wh+lw+lh)=2(2*4+9*2+9*4)=2(8+18+36)=2(62)=124cm²
sA=2(wh+lw+lh)=2(9*4+2*9+2*4)=2(36+18+8)=2(62)=124cm²
A is the only option with both similar volumes of 72cm³ and different surface areas...
Answer=A
<span>lets solve for x, and then we'll find an integer solution:
3x + 4y = 24
3x = 24 - 4y
</span><span>x = (24 - 4y)/3
</span>so the right side has to be an integer, or 24 - 4y has to be a multiple of 3:
<span>24 - 4y
</span>then, y has to be 3, see:
<span>x = (24 - 4y)/3
</span><span>x = (24 - 4(3))/3
</span><span>x = (24 - 12)/3
</span><span>x = (12)/3
</span>x = 4
then, we have x = 4 and y = 3
D I got the phone call back in the phone with me a couple
