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3 years ago

8

The area of polygon MNOPQR = area of a rectangle that is 15 square units + area of a rectangle that is ___ square units. (input

whole numbers only, such as 8)
im not understanding too well so...please help :/

1 answer:

shutvik [7]3 years ago

3 0

The area of the small rectangle is 3 units square.

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Part 1
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Therefore, a=1, b=-18, c=0.
Using the quadratic formula
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The values of x are
$x_1=\frac{18-18}{2}=0$
$x_2=\frac{18+18}{2}=18$

Part 2
Since the values of y change drastically for every equal interval of x, the function cannot be linear. Therefore, the kind of function that best suits the given pairs is a quadratic function.

Part 3.
The first equation is $y=x^2+2$ .
The second equation is $y=3x+20$ .

We have
$x^2+2=3x+20$
$x^2-3x-18=0$
Factoring, we have
$\left(x-6\right)\left(x+3\right)=0$
Equating both factors to zero.
$x_1-6=0\rightarrow x_1=6$
$x_2+3=0\rightarrow x_2=-3$

When the value of x is 6, the value of y is
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When the value of x is -3, the value of y is
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Therefore, the solutions are (6,38) or (-3,11)

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