Erin's jewelry box is in the shape of a rectangular prism. what is the surface area of Erin's jewelry box?
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The answers are
11. c) 7x² +5x +8 remainder 7.
12. d) 6x² -6x +3 remainder 2x.
Step-by-step explanation:
Step 1; By dividing 7x³ -2x² +3x -1 with x -1 we get the following calculations. We multiply 7x² with x-1 and get 7x³ - 7x². We subtract this from 7x³ -2x² and get 5x². Now we add this with the 3x in 7x³ -2x² +3x -1. We get 5x² +3x. We multiply x -1 with 5x and get 5x² -5x and subtract it from 5x² +3x and get 8x. We multiply the x -1 with 8 and get 8x -8. We subtract this from 8x -1 and get a remainder of 7. So the quotient is 7x² +5x +8 with a remainder of 7.
Step 2; By dividing 6 +0x³ -3x² +5x with x² +x we get the following calculations. We multiply 6x² with x² +x and get 6
+6x³. We subtract this from 6
+0x³ and get -6x³. Now we add this with the -3x² in 6
+0x³ -3x² +5x. We get -6x³ -3x². We multiply x² +x with -6x and get -6x³ -6x² and subtract it from -6x³ -3x² and get 3x². We multiply the x² +x with 3 and get 3x² +3x. We subtract this from 3x² +5x and get a remainder of 2x. So the quotient is 6x² -6x +3 with a remainder of 2x.
When you illustrate the problem, an image like that shown in the picture is formed. You are asked to order the angles in increasing order. Since, it did not ask for the values, we don't have to solve it.
Note that the larger the angle, the larger its opening, thus its opposite side would be larger also. Using this analogy and referring to the picture, the order of angles should be: Angle E < Angle F < Angle D
Note that the larger the angle, the larger its opening, thus its opposite side would be larger also. Using this analogy and referring to the picture, the order of angles should be: Angle E < Angle F < Angle D