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Shalnov [3]
2 years ago
13

Which polynomial represents the difference below? (8x^2 + 9) - (3x^2 + 2x + 5)

Mathematics
2 answers:
MariettaO [177]2 years ago
5 0

Answer:  The correct option is (A) 5x^2-2x+4.

Step-by-step explanation:  We are given to select the polynomial that represents the following difference :

D=(8x^2+9)-(3x^2+2x+5)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

To find the required difference, we need to subtract the coefficients of the same powers of the unknown variable x.

From (i), we get

D\\\\=(8x^2+9)-(3x^2+2x+5)\\\\=8x^2+9-3x^2-2x-5\\\\=(8-3)x^2-2x+(9-5)\\\\=5x^2-2x+4.

Thus, the required difference is 5x^2-2x+4.

Option (A) is CORRECT.

astraxan [27]2 years ago
3 0

the answer is......... A

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Hey,
So we have to solve this in multiple steps. Step 1 is to find the circumference of the semi-circle and multiply by three since there are three. Step 2 would be to find the perimeter of the rectangle.  Step 3 would be to add those two together.

Step 1: To find the circumference of the semicircle use the formula pi (3.14) times radius (8 ÷ 2 = 4) times 2. After that we will divide by two since there is only half. After that we will multiply that answer by three.
C = 3.14 x 4 x 2
C = 12.56 x 2
C = 25.12

C = 25.12 ÷ 2
C = 12.56

Perimeter = 12.56 x 3 = 37.68

Step 2: To find the perimeter of the rectangle/square add all the sides (8).
Perimeter = 8 + 8 + 8 + 8 = 32

Step 3: Now add the two previous answers to get the final perimeter.
37.68 + 32 = 69.68

Final Answer: 69.68
Hope this helped!

Cheers,
Izzy

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