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alekssr [168]
3 years ago
12

Rewrite the equation by completing the square. 2 x^2 -11 x +14 = 0

Mathematics
1 answer:
Tanzania [10]3 years ago
4 0

Answer:

x^2 - (11/2)x + 121/16 = -7

Step-by-step explanation:

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area of trapezoid with dimensions  b_1 = 4\frac{1}{4} , b_2 = 3\frac{3}{4}, h = 2\frac{1}{2}  is Area =10in^2 .

<u>Step-by-step explanation:</u>

We know that area of trapezoid is , area = (\frac{a+b}{2} )h , where a & b are bases and h is height . We have , b_1 = 4\frac{1}{4} , b_2 = 3\frac{3}{4}, h = 2\frac{1}{2} .

Area = (\frac{a+b}{2} )h

⇒ Area = (\frac{a+b}{2} )h

⇒ Area = (\frac{b_1+b_2}{2} )h

⇒ Area = (\frac{4\frac{1}{4} +3\frac{3}{4}}{2} )(2\frac{1}{2} )

⇒ Area = (\frac{\frac{17}{4} +\frac{15}{4}}{2} )(\frac{5}{2} )

⇒ Area = (\frac{\frac{17+15}{4}}{2} )(\frac{5}{2} )

⇒ Area = (\frac{\frac{32}{4}}{2} )(\frac{5}{2} )

⇒ Area = (\frac{8}{2} )(\frac{5}{2} )

⇒ Area = (\frac{40}{4} )

⇒ Area =10in^2

Therefore, area of trapezoid with dimensions  b_1 = 4\frac{1}{4} , b_2 = 3\frac{3}{4}, h = 2\frac{1}{2}  is Area =10in^2 .

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