Answer:
,
, 
Step-by-step explanation:
In this problem we have that

we have



substitute the values and solve for x

Group terms that contain the same variable in the right sides

Combine like terms in the right side




<u><em>Find the value of bd</em></u>

Find the value of bc

<u><em>Find the value of cd</em></u>

Answer:
3
Step-by-step explanation:
the equation would be 5 = 3(3) - 4
which is 9 - 4 = 5
The volume as a function of the location of that vertex is
... v(x, y, z) = x·y·z = x·y·(100-x²-y²)
This function is symmetrical in x and y, so will be a maximum when x=y. That is, you wish to maximize the function
... v(x) = x²(100 -2x²) = 2x²(50-x²)
This is a quadratic in x² that has zeros at x²=0 and x²=50. It will have a maximum halfway between those zeros, at x²=25. That maximum volume is
... v(5) = 2·25·(50-25) = 1250
The maximum volume of the box is 1250 cubic units.
Answer:
Check explanations for answer
Step-by-step explanation:
Here, we want to find out how Gerard came to the conclusion
For him to arrive at this conclusion, then we should consider the lengths given if they form a right triangle and are suitable for the building frame
From the lengths that we have
If we square the longest length, then the sum of the squares of the two other lengths should be the same as it is
This is in obedience to Pythagoras’ theorem
However, this does not hold
√(150)^2 is not equal to 8^2 + (√(95))^2)
and so since this does not work, then the triangle is not right-angled and cannot be use as the frame
I believe the anwser is l