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2 years ago

Which equation represents the graph?

Mathematics

1 answer:

klio [65]2 years ago

6 0

The second option.

That is because
$y -3 = - \frac{1}{2}(x + 1) \\ (y -3)+3 = (- \frac{1}{2} x - \frac{1}{2}) + 3 \\ y = - \frac{1}{2}x + 2 \frac{1}{2}$

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The value of

marusya05 [52]

$\large\underline{\sf{Solution-}}$

We have to find out the value of the fraction.

Let us assume that:

$\sf \longmapsto x =2 + \dfrac{1}{2 + \dfrac{1}{2 + \dfrac{1}{2 + ... \infty} } }$

We can also write it as:

$\sf \longmapsto x =2 + \dfrac{1}{x}$

$\sf \longmapsto x =\dfrac{2x + 1}{x}$

$\sf \longmapsto {x}^{2} =2x + 1$

$\sf \longmapsto {x}^{2} - 2x - 1 = 0$

Comparing the given equation with ax² + bx + c = 0, we get:

$\sf \longmapsto\begin{cases} \sf a =1 \\ \sf b = - 2 \\ \sf c = - 1 \end{cases}$

By quadratic formula:

$\sf \longmapsto x = \dfrac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a}$

$\sf \longmapsto x = \dfrac{2 \pm \sqrt{ {( - 2)}^{2} - 4(1)( - 1)} }{2 \times 1}$

$\sf \longmapsto x = \dfrac{2 \pm \sqrt{4 + 4} }{2 \times 1}$

$\sf \longmapsto x = \dfrac{2 \pm \sqrt{8} }{2}$

$\sf \longmapsto x = \dfrac{2 \pm2 \sqrt{2} }{2}$

$\sf \longmapsto x = 1 \pm\sqrt{2}$

$\sf \longmapsto x = \begin{cases} \sf 1 + \sqrt{2} \\ \sf 1 - \sqrt{2} \end{cases}$

But "x" cannot be negative. Therefore:

$\sf :\implies x = 1 + \sqrt{2}$

So, the value of the fraction is 1 + √2.

4 0

2 years ago

a cargo ship arrived at Kingston Harbour carrying 403,172 kilograms of flour. All the flour was tranfered to 5 trains and 9 truc

IrinaVladis [17]

Each train carried 64141 kg of flour and each truck carried 9163 kg of flour.

Step-by-step explanation:

Let the no. of kg of flour carried by each train be 'a'

Let the no. of kg of flour carried by each truck be 'b'

Total flour = 403172 kg

No. Of trains = 5

No. of trucks = 9

a = 7(b)

5a + 9b = 403172

5(7b) + 9b = 403172

35b + 9b = 403172

44b = 403172

b = 403172/44

b = 9163

Each truck carried 9163 kg of flour.

a = 7b

a = 7(9163)

a = 64141

Each train carried 64141 kg of flour.

4 0

3 years ago

CAN SOMEONE HELP ME PLEASE ILL GIVE BRAINLEST..I need step to step equation thanks

Dmitrij [34]

Answer:

The required co-ordinate is (-2, -5).

Step-by-step explanation:

For a given point, reflection of a point (x, y) across a horizontal line y = k, the reflected co-ordinates will be: $R_{y = k} = (x, 2k - y)$ .

Here, (x, y) = (-2, 7) then reflection along the line y = 1, we get:

$R_{y = 1} (-2, 7) = (-2, 2(1) - 7)$

= (-2, -5)

The reflected point is (-2, -5).

5 0

3 years ago

What ides it mean by simplify?

MrRissso [65]

Putting it in simpler terms

7 0

2 years ago

A manufacturing business needs various items to function well. Which is an example of a service?.

aliina [53]

The answer is C. transportation is a service.

8 0

2 years ago

Read 2 more answers