Answer:
Pythagoras
Step-by-step explanation:
Pythagoras
The standard form of a quadratic equation is ,
ax² + bx + c = 0.
And the formula to find the discriminant is b² - 4ac.
Here the first step is to change the given equation into standard form. So, add 1 to each sides of the equation. Therefore,
2x² – 9x + 2+1 = –1 + 1
2x² – 9x + 3 = 0
Next step is to compare the given equation with this equation to get the value of a, b and c.
After comparing the equations we will get a = 2, b = -9 and c = 3.
So, discriminant = b²- 4ac
=( -9)²-4 (2)(3)
= 81 - 24
= 57
So, discriminant of the given equation is 57.
57 is greater than 0 and square root of 57 will result real number.
So, the correct choice is C: The discriminant is greater than 0, so there are two real roots.
The perimeter of the rectangular plot of land is given by the expression below
On the other hand, since the available money to buy fence is D dollars,
Furthermore, the area of the enclosed land is given by
Solving the second equation for x,
Substituting into the equation for the area,
To find the maximum possible area, solve A'(y)=0, as shown below
Therefore, the corresponding value of x is
<h2>Thus, the dimensions of the fence that maximize the area are x=D/16 and y=D/12.</h2><h2>As for the used money,</h2>
<h2>Half the money was used for the top and the bottom, while the other half was used for the sides.</h2>
Answer:
14$
Step-by-step explanation:
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