Answer:
Length of the final sides: 6 cm and 16 cm
Step-by-step explanation:
The lengths of the sides of the original box are
Later, a piece of tin is cut out from each corner; the piece cut out has the shape of the square: we can call the length of its generic side x. Therefore, the dimensions of the box will now be:
We also know that the area is
And the area can be written as product of length and width, therefore:
So we find:
Solving for x,
Which has two solutions:
x = 13 cm (this is larger than the initial length of the width, therefore we discard it)
x = 2 cm
So, the length of the new sides are
x=7 or x=-6
Let's solve your equation step-by-step.
0.25x2−0.25x−10.5=0
For this equation: a=0.25, b=-0.25, c=-10.5
0.25x2+−0.25x+−10.5=0
Step 1: Use quadratic formula with a=0.25, b=-0.25, c=-10.5.
x=
−b±√b2−4ac
2a
x=
−(−0.25)±√(−0.25)2−4(0.25)(−10.5)
2(0.25)
x=
0.25±√10.5625
0.5
x=7,−6
5/6+(-1 1/6) = 5/6-7/6 = -2/6 = -1/3
answer: Put the sum 2 marks to the left of 0 (to place -1/3).
Answer:hector has 6 and Jill has 3 and all together is 9
Step-by-step explanation:
The most general proccedure for this type of problems is the following:
For a quadratic function of the following form 
; where b and c are real numbers.
1) Identify the value that accompanies the x, that is, the value "b"
2) Divide the value of b by 2 and then square it: 
3) Add and subtract in the function the value of
4) Write the complete function of the form 
For the function presented 
the result is as follows:
1) The value of b is 12
2) 
3) 
4)
Finally the function is:
The zero pair that must be added is 36 and -36
