If f(x) = 2x2 – x – 6 and g(x) = x2 – 4 Find f(x) ÷ g(x)
1 answer:
When you divide these, factor both the numerator and the denominator to see if anything cancels out. That's the best way to do it. Easier than long division of polynomials, although it can also be done that way. Factoring both the numerator and denominator gives you this: 
. The (x-2) factor cancels out in the top and bottom leaving you with just 
. That's your answer.
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Answer:
3.
Surface Area = <u>66.4 square centimeters</u>
Volume =<u> 31.52 cubic centimeters</u>
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4.
Surface Area = <u>113.1 square centimeters</u>
Volume = <u>113.1 cubic centimeters</u>
Step-by-step explanation:
3.
Surface area of pyramid is area of all the surfaces. There are 4 triangles with area 1/2 * base * height
Where base is 4 and height is 6.3
Area of 4 triangles = 4 * 1/2 * 4 * 6.3 = 50.4
And area of square which is base^2 = 4 ^ 2 = 16
<u>Surface Area = 50.4 + 16 = 66.4 square centimeters</u>
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Volume of Pyramid is 1/3 * area of base * height
To find height, altitude, we can drop from vertex to middle bottom. Now we can create a right triangle with hypotenuse 6.3 and base 2 (half of the side 4 cm). The altitute (height) is the other leg.
Now we can use pythagorean theorem to find height:
height ^ 2 + 2 ^ 2 = 6.3 ^ 2
height^2 + 4 = 39.69
height^2 = 39.69 - 4
height^2 = 35.69
height = 5.97
Now, <u>Volume of Pyramid = 1/3 * (4)^2 * 5.97 = 31.52 cubic centimeters</u>
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4.
Surface area of sphere is given by:
Surface Area of Sphere =
radius, r, is given as 3, so
<u>Surface Area of Sphere = square centimeter</u>
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Volume of Sphere is given by
We know radius is 3, so
<u>Volume of Sphere = cubic centimeters</u>
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*they are the same