Given a cube with a volume of 36 cm^3 what is the volume of a square pyramid that can fit perfectly inside the cube
1 answer:
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Answer:
See attachment.
Step-by-step explanation:
f(x) = 6x - 3
y = 6x - 2
Switch out x for y.
x = 6y - 2
Solve for y.
x + 2 = 6y
= y
Graph.
Let, the numbers be "x" and "y". Consider "x" as the triple digit number.
Now, according to the question,
x + y = 217..........................equation (1)
x * y = 642............................equation (2)
Now,
Taking equation (2),
x * y = 642
y = 642 / x..................................equation (3)
Now, Taking equation (1),
Substituting the value of y from equation (3), we get,
Using zero product property,
EITHER,
x - 3 = 0
x = 3
OR,
x - 214 = 0
x = 214
Since, "x" is the triple digit number, x = 214.
Now,
Taking equation (2),
x * y = 642
Substituting the value of "x" in the equation, we get,
(214) * y = 642
y = 642 / 214
y = 3
So, the numbers are 214 and 3.
Now, according to the question,
x + y = 217..........................equation (1)
x * y = 642............................equation (2)
Now,
Taking equation (2),
x * y = 642
y = 642 / x..................................equation (3)
Now, Taking equation (1),
Substituting the value of y from equation (3), we get,
Using zero product property,
EITHER,
x - 3 = 0
x = 3
OR,
x - 214 = 0
x = 214
Since, "x" is the triple digit number, x = 214.
Now,
Taking equation (2),
x * y = 642
Substituting the value of "x" in the equation, we get,
(214) * y = 642
y = 642 / 214
y = 3
So, the numbers are 214 and 3.