2 years ago

Systems of equations with graphing

1 answer:

4 0

X is 2 + y/2 & y is 0
you can solve for x in the first equation
once you solve for x
you plug your answer to the equation again and solve for y

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Which function models the area of a rectangle with side lengths of 2x - 4 units and x + 1 units?

aalyn [17]

Answer:

Area of rectangle, $f(x)=2x^2-2x-4$ .

Step-by-step explanation:

We are given with side lengths of a rectangle are (2x-4) units and (x+1) units. It is required to find the area of rectangle.

The area of a rectangle is equal to the product of its length and breadth. It is given by :

$A=L\times B$

Let us consider, L = (2x-4) units and B = (x+1) units

Plugging the side lengths in above formula:

$A=(2x-4)\times (x+1)$

$A=2x^2+2x-4x-4\\\\A=2x^2-2x-4$

So, the function that models the area of a rectangle is $f(x)=2x^2-2x-4$ .

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A(-6,-5) B(4,1)

Step-by-step explanation:

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An arc subtends a central angle measuring \dfrac{\pi}{2}

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Arc Length is 1/4th of the circumference .

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

Here we need to find fraction of the circumference is this arc when An arc subtends a central angle measuring $\dfrac{\pi}{2}$ radians ! Let's find out :

We know that circumference of an arc subtending a central angle of x is :

⇒ $Arc = \frac{Angle}{360}(2\pi r)$

⇒ $Arc = \dfrac{\frac{\pi}{2}}{360}(2\pi r)$

⇒ $Arc = \frac{90}{360}(2\pi r)$

⇒ $Arc = \frac{90}{90(4)}(2\pi r)$

⇒ $Arc = \frac{1}{4}(2\pi r)$

⇒ $Arc = \frac{1}{4}(Circumference)$

Therefore , Arc Length is 1/4th of the circumference .

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Simplify the expression by arranging the steps in sequence, based on the order of operations.

Semenov [28]

The second option
5x+x+4-9

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