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vivado [14]
3 years ago
14

Find the following when a = -1, b = 2, c = -1/4 (4b - 3)/(2a) -1

Mathematics
1 answer:
Katena32 [7]3 years ago
3 0
We substitute the given into the equation
given: a=-1, b=2, c=\frac{-1}{4}
=(\frac{4b-3}{2a}-1
=\frac{4(2)-3}{2(-1)}-1
=\frac{8-3}{-2}-1
=\frac{5}{-2}-1
to continue, we can either find a common denominator or change the fraction to decimal.
Fraction to Decimal:
\frac{5}{-2}=-2.5
Equation=-2.5-1=-3.5
OR Common Denominator:
=\frac{5}{-2}\frac{-1}{1}×\frac{-2}{-2}         (denominator should be -2=common)
=\frac{5}{-2}+\frac{2}{-2}
=\frac{7}{-2}
which also = to -3.5
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The length of the enlarged copy in feet is 2.7 feet.

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

  • The painting is 4 inches wide and 2 feet long.
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The width is enlarged from 0.3 to 1 which is increased by 0.7 feet.

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Deondra has 57 m of fencing to build a three-sided fence around a rectangular plot of
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(L=17m and W=20m) and (L=40m and W=8.5m) are the possible dimensions (length and width) of the field given that the three sided fence has a length of 57m the area of the land is 340 square meters. This can be obtained by forming quadratic equation for the data.

 

<h3>Calculate the set of possible dimensions (length and width) of the field:</h3>

Let length be L and width be W.

Given that,

three sided fence has a length of 57m,

⇒ 2W + L = 57 m ⇒ L = 57 - 2W

the area of the land is 340 square meters

length × width = 340 ⇒ L × W = 340

(57 - 2W)W = 340

57W - 2W² = 340

2W² - 57W + 340 = 0

Solve for W using quadratic formula,

a = 2, b = -57, c = 340

W = (-b±√b²-4ac)/2a  

   = (57±√3249-2720)/4

   = (57±√529)/4

   = (57±23)/4

W = 20 m and W = 8.5 m  

For W=20, L=57-2(20) = 17

For W=8.5, L=57-2(8.5) = 40

Hence (L=17m and W=20m) and (L=40m and W=8.5m) are the possible dimensions (length and width) of the field given that the three sided fence has a length of 57m the area of the land is 340 square meters.

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Answer:

Step-by-step explanation:

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