7/12 14/24 21/36 28/48 35/60
Answer:
25x^2 - 60xy + 36y^2
Step-by-step explanation:
(5x - 6y) ( 5x - 6y)
Use foil to get the result when this is expanded.
F: (first term in each factor): 5x*5x = 25x^2
I: Use the last term first factor multiplied by first term second factor
- 6y * 5x = - 30xy
O:Outside. Use first term first factor and last term second factor
5x * -6y = - 30xy
L: last term in both factors -6y * - 6y = 36y^2
All them together
25x^2 - 30xy - 30xy + 36y^2
and combine
25x^2 - 60xy + 36y^2
A cube has all sides of equal length.
So let the side be x
that will be length = width = height = x
Now, when we cut the loaf into 5 equal slices, the length and height of the slices are the same as the original loaf. But the width will become less with each slicing. Here the width corresponds to the thickness of the slices.
For each slice the dimensions are -
Length = x
height = x
width = 0.6
Volume of the original loaf is x³.
Volume of 5 slices is 5(x * x * 0.6).
Volume that is left after the cutting the slices is 235 inch³.
So, equation of the volume is=
x³ - 5(0.6x²) = 235
Solve for x using this equation.
x³ - 3x² = 235
x³ - 3x² - 235 = 0
Using a graph calculator to find the roots, we get
x = 7.35
Hence the dimensions of the original loaf is 7.35 inches for each side.
Please find attached the graph.
Answer:
x squared plus 2x minus 1.
Step-by-step explanation:
x3+3x2+x-9 is in the division "house" and x-1 is on the outside. xsquare times x equals x cubed. and x square times negative 1 equals -x squsre. put x square on top of the roof. change the signs. the x cubed cancels out. and bring down 2x square from subtracting 3x square and -x square and bring down the x-9. Put 2x on top of the roof too and 2x times x equals 2x square and multiply by -1. U will have 2x square -2x square and -2x plus x which equals -1x cuz the 2x square cancels out. bring down the -9. Now i have -1x-9. Multiply by -1 and put -1 on the roof. -1x+1x cancels out. and -1 times -1 equals positive 1. So -9+1=8. U van do any further cause as soon as the last number is at the end of the roof and u cant go further, ur done dividing. so the answer is x square+2x-1/×-1 +8 as the remainder. hope i helped
