Please answer with explanation

Mathematics

2 answers:

goblinko [34]3 years ago

5 0

U or any other symbol stands for the unknown it could range to be 0 to 5 according on how you work on it my best guess would be to solve it back wards

Lena [83]3 years ago

3 0

Your answer could be 5, rearrange the equation

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X^2 + 32x + 256 = 1<br>please show steps

Elena L [17]

$\boxed{x_{1}=-15} \\ \\ \boxed{x_{2}=-17}$

<h2>Explanation:</h2>

In this case, we have the following equation:

$x^2+32x+256=1$

But we can write this equation as:

$x^2+32x+256=1 \\ \\ Subtract \ -1 \ from\ both \ sides: \\ \\ x^2+32x+256-1=1-1 \\ \\ x^2+32x+255=0$

So this final result is a quadratic equation written in Standard Form ( $ax^2+bx+c=0$ ). We need to find the solutions to this equations, so let's use quadratic formula:

$x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ a=1 \\ b=32 \\ c=255 \\ \\ \\ x=\frac{-32 \pm \sqrt{(32)^2-4(1)(255)}}{2(1)} \\ \\ x=\frac{-32 \pm \sqrt{1024-1020}}{2} \\ \\ x=\frac{-32 \pm \sqrt{4}}{2} \\ \\ x=\frac{-32 \pm 2}{2} \\ \\ Finally, \ two \ solutions: \\ \\ \boxed{x_{1}=-15} \\ \\ \boxed{x_{2}=-17}$

<h2>Learn more:</h2>

Quadratic Equations: brainly.com/question/10278062

#LearnWithBrainly

3 0

3 years ago

suppose a farmer encloses a rectangular region of a land next to a river. fencing will be used on 3 sieds, and none is needed al

nexus9112 [7]

Answer:

Dimensions :

x (the longer side, only one side with fence ) = 90 ft

y ( the shorter side two sides with fence ) = 45 ft

Total fence used 45 * 2 + 90 = 180 ft

A(max) =

Step-by-step explanation: If a farmer has 180 ft of fencing to encloses a rectangular area with fence in three sides and the river on one side, the farmer surely wants to have a maximum enclosed area.

Lets call "x" one the longer side ( only one of the longer side of the rectangle will have fence, the other will be along the river and won´t need fence. "y" will be the shorter side

Then we have:

P = perimeter = 180 = 2y + x ⇒ y = ( 180 - x ) / 2 (1)

And A (r) = x * y

A(x) = x * ( 180 - x ) /2 ⇒ A(x) = (180/2) *x - x² / 2

Taking derivatives on both sides of the equation :

A´(x) = 90 - x

Then if A´(x) = 0 ⇒ 90 - x = 0 ⇒ x = 90 ft

and from : y = ( 180 - x ) / 2 ⇒ y = 90/2

y = 45 ft

And

A(max) = 90 * 45 = 4050 ft²

4 0