Answer:
24s^2, 54s^2, 96s^2
Step-by-step explanation:
Let s represent the initial side length of the cube. Then the area of each face of the cube is A = 6s^2 (recalling that the area of a square of side length s is s^2).
a) Now suppose we double the side length. The total area of the 6 faces of the cube will now be A = 6(2s)^2, or 24s^2 (a 24 times larger surface area),
b) tripled: A = 6(3s)^2 = 54x^2
c) quadrupled? A = 6(4s)^2 = 96s^2
<span>"For which value of k does the system have no real number solutions?"
The answer is 4, because 4+4</span>≠16.
<span>
"For which value of k does the system have one real number solution?"
</span>The answer is -0.25, because the linear line because tangent with the parent function.
<span>"For which value of k does the system have two real number solutions?"
</span>The answer is 2, because the linear function intercepts the parent function 2 times.
- i hope these are the answers you are looking for.
He needs 20 more unit cubes to completely fill the prism
<h3>How to determine the number of unit cubes?</h3>
The dimension of the prism is given as;
4 by 3 by 3
The volume is calculated as:
Volume = 4 * 3 * 3
Volume = 36
He has already filled 16 units.
So, the units remaining is
Remaining = 36 - 16
Evaluate
Remaining = 20
Hence, he needs 20 more unit cubes to completely fill the prism
Read more about volumes at:
brainly.com/question/1972490
#SPJ1
Answer:
7) x=3, y=-7
x=0, y=-2
Step-by-step explanation:
Hope it helps.
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