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4 years ago

Solve for x.

Mathematics

2 answers:

jasenka [17]4 years ago

7 0

Answer:

Your answer is

x = -4, 6 or (b)

Have a nice day and please mark me as brainliest!! (:|

~abelxoconda

sergeinik [125]4 years ago

4 0

Answer:

your answer will be B. -4,6

Step-by-step explanation:

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Determine the relationship between the two triangles and whether or not they can be proven to be congruent.

forsale [732]

Answer:

The answer would be A

Step-by-step explanation:

Both congruent sides are pairs

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3 years ago

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Solve the following system of equations . y = - x + 7, \qquad 4x - 5y = 10 Write your answer as an ordered pair in the form(x,y)

Mnenie [13.5K]

Answer:

(5, 2)

Step-by-step explanation:

Lets substitute y = -x + 7 into 4x-5y=10

Then we can write 4x-5y=10 as 4x-5×(-x+7)=10,

4x-(-5x)-35=10

9x-35=10

9x=45

x=5, therefore, y= -5+7=2

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3 years ago

a farmer has 100m for fence avaibiable, with which he intends to build a pen for his sheep. he intends to create a rectangular p

Reika [66]

The perimeter of the area of the pen the farmer intends to build for his

ship includes the length of the permanent stone wall.

Response:

i) The length and width of the rectangular pen are; x, and $\dfrac{100 - x}{2}$ , therefore;

The area is; $A = \dfrac{1}{2} \cdot x \cdot (100 - x)$

$ii) \hspace{0.5 cm}\dfrac{dA}{dx} = 50 - x$

$\dfrac{d^2A}{dx^2} = -1$

iii) The value of x that makes the area as large as possible is x = 50

<h3>How is the function for the area and the maximum area obtained?</h3>

Given:

The length of fencing the farmer has = 100 m

Part of the area of the pen is a permanent stone wall.

Let x represent the length of the stone wall, we have;

2 × Width = 100 m - x

Therefore;

Width, w, of the rectangular pen, $w = \mathbf{\dfrac{100 - x}{2}}$

Area of a rectangle = Length × Width

Area of the rectangular pen, is therefore;

$A = x \times \dfrac{100 - x}{2} = \underline{\dfrac{1}{2} \cdot x \cdot (100 - x)}$

$ii) \hspace{0.5 cm} \mathbf{\dfrac{dA}{dx}}$ , and $\mathbf{\dfrac{d^2A}{dx^2} }$ are found as follows;

$\dfrac{dA}{dx} = \mathbf{\dfrac{d}{dx} \left( \dfrac{1}{2} \cdot x \cdot (100 - x) \right)} = \underline{50 - x}$

$\dfrac{d^2A}{dx^2} = \mathbf{ \dfrac{d}{dx} \left( 50 - x\right)} = \underline{-1}$

iii) The value of x that makes the area as large as possible is given as follows;

Given that the second derivative, $\dfrac{d^2A}{dx^2} =-1$ , is negative, we have;

At the maximum area, $\dfrac{dA}{dx} = \mathbf{0}$ , which gives;

$\dfrac{dA}{dx} = 50 - x = 0$

x = 50

The value of x that makes the area as large as possible is x = 50

Learn more about the maximum value of a function here:

brainly.com/question/19021959

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2 years ago

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kati45 [8]

Its D because its naming the objects

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3 years ago

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A plan for an executive traveler's club has been developed by an airline on the premise that at least 5% of its current customer

STatiana [176]

Answer:

a) 3.0779

b)2.3264

Step-by-step explanation:

Please see attachment .

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3 years ago