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Naddik [55]
4 years ago
10

Find the sum (x^3+3x^2+x+1)+(2x^3-2x^2-2x+2)

Mathematics
2 answers:
8_murik_8 [283]4 years ago
7 0

Answer:

The sum = 3x³ + x² - x + 3

Step-by-step explanation:

It is given that,

(x³ + 3x² + x + 1) + (2x³ - 2x² - 2x + 2)

<u>To find the sum</u>

(x³ + 3x² + x + 1) + (2x³ - 2x² - 2x + 2)

 =  x³  + 2x³ + 3x²  - 2x² + x - 2x + 1 +2

 = 3x³ + x² - x + 3

Therefore the sum = 3x³ + x² - x + 3

Iteru [2.4K]4 years ago
3 0

Answer:

(x^3+3x^2+x+1)+(2x^3-2x^2-2x+2)

3x^3 + x^2 - x + 3

I think I simplified it completely. Hope this helps! Good luck! :)

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What is the area of the composite figure? (use 3.14 for pi). Explain how you arrived at your answer. Please round to the nearest
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The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

Step-by-step explanation:

The given is,

                 Given diagram is combination of Rectangle and Semi circle.

Step:1

         Res the attachment,

                      Area of given diagram = Area of A + Area of B..............(1)

Step:2

         For A,

         The A section in the given diagram is semi circle,

                     Diameter of semi circle = Total distance - ( 2+3)

                                          ( ∵ 2, 3 are top distance in the given diagram)

                                                             = 10 - 5

                                        Diameter, d = 5 cm

                                             Radius, r = \frac{d}{2}

                                                          r = \frac{5}{2}

                                                         r = 2.5 cm

                                          Area, A_{A}  = \frac {\pi r^{2} }{2}........................(2)

                                                    A_{A}  = \frac {\pi (2.5)^{2} }{2}  

                                                           = \frac {\pi ( 6.25) }{2}

                                                           = \frac{19.63}{2}

                                                     A_{A} = 9.8174 cm^{2}

Step:3

               For B,

               Area of rectangle is,

                                                      A_{B} =lb.....................(3)

              Where, l - Length = 10 cm

                          b - Width = 2 cm

              Equation (3) become,

                                                            = (10)(2)

                                                            = 20

                                    Area of B, A_{B} = 20 cm^{2}

Step:4

               From the equation (1),

                               Area of given diagram = 20+ 9.81747

                                                            Area = 29.817 square centimeters

Result:

            The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

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