Remark
A cube has six sides, all of them equal. The formula for 1 side is s^2. The formula for all six = 6s^2.
Step One
Find the surface area of the larger cube.
Area = 6 *s^2
s = 15
Area = 6 *15^2
Area = 6 * 225
Area = 1350
Step Two
Find the area of the smaller cube
Area = 6s^2
Area = 6 * 12^2
Area = 6 * 144
Area = 864
Step Three
Find the difference
Area1 - Area2 = difference
1350 - 864 = 486
The difference is area = 486 units^2 <<<<< Answer
There is a slightly shorter way. Take out the common factor of 6
Difference = 6 * (15^2 - 12^2)
Difference = 6 * (225 - 144)
Difference = 6 * (81)
Difference = 486
You can solve the system by isolating the same variable in both equations, then setting those equations equal to each other. For instance, say we isolate y:
Do the same for the other equation, then set both equations equal to each other. You can then solve for x. Once you have a value for x, you can plug it into either of the original equations and find y!
Answer:
h^24
Step-by-step explanation:
h^12 divided by h^4 is h^8 according to the rule of exponent because if you divide the two terms that have the same base but different exponents, you have to subtract the exponent number. 12-4=8.
(h^8)^3 is h^24 because again according to the rule of exponent you have to multiply the two exponents together, and 8 * 3 is 24.
The simplified expression is h^24.
Answer:
B. 7
Step-by-step explanation: 6/24= 1/4 so 7/24>1/4
Answer:
Distribute
8
−
4
=
2
(
4
−
4
)
8x-4={\color{#c92786}{2(4x-4)}}
8x−4=2(4x−4)
8
−
4
=
8
−
8
8x-4={\color{#c92786}{8x-8}}
8x−4=8x−8
2
Add
4
4
4
to both sides of the equation
8
−
4
=
8
−
8
8x-4=8x-8
8x−4=8x−8
8
−
4
+
4
=
8
−
8
+
4
8x-4+{\color{#c92786}{4}}=8x-8+{\color{#c92786}{4}}
8x−4+4=8x−8+4
3
Simplify
Add the numbers
Add the numbers
8
=
8
−
4
8x=8x-4
8x=8x−4
2 more steps
Result
0
=
−
4
0=-4
0=−4
The input is a contradiction: it has no solutions
