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Len [333]
3 years ago
11

Please help me i will give brainliest:/

Mathematics
2 answers:
kipiarov [429]3 years ago
7 0

Answer:

D.

Step-by-step explanation:

masha68 [24]3 years ago
4 0

Answer:

i think its b tell me if im wrong!

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Show that every triangle formed by the coordinate axes and a tangent line to y = 1/x ( for x > 0)
vfiekz [6]

Answer:

Step-by-step explanation:

given a point (x_0,y_0) the equation of a line with slope m that passes through the  given point is

y-y_0 = m(x-x_0) or equivalently

y = mx+(y_0-mx_0).

Recall that a line of the form y=mx+b, the y intercept is b and the x intercept is \frac{-b}{m}.

So, in our case, the y intercept is (y_0-mx_0) and the x  intercept is \frac{mx_0-y_0}{m}.

In our case, we know that the line is tangent to the graph of 1/x. So consider a point over the graph (x_0,\frac{1}{x_0}). Which means that y_0=\frac{1}{x_0}

The slope of the tangent line is given by the derivative of the function evaluated at x_0. Using the properties of derivatives, we get

y' = \frac{-1}{x^2}. So evaluated at x_0 we get m = \frac{-1}{x_0^2}

Replacing the values in our previous findings we get that the y intercept is

(y_0-mx_0) = (\frac{1}{x_0}-(\frac{-1}{x_0^2}x_0)) = \frac{2}{x_0}

The x intercept is

\frac{mx_0-y_0}{m} = \frac{\frac{-1}{x_0^2}x_0-\frac{1}{x_0}}{\frac{-1}{x_0^2}} = 2x_0

The triangle in consideration has height \frac{2}{x_0} and base 2x_0. So the area is

\frac{1}{2}\frac{2}{x_0}\cdot 2x_0=2

So regardless of the point we take on the graph, the area of the triangle is always 2.

6 0
3 years ago
Help plz i give brainliest
Natasha_Volkova [10]

Answer: Hope this helps :)

\frac{1}{5} b^{27}

<h2><u><em>Mark me as Brainliest please</em></u></h2>
6 0
2 years ago
Read 2 more answers
I need help I’ll give u brainliest but i need an explanation or I can’t give it
slamgirl [31]

Answer:

the answer is a

Step-by-step explanation:

6 0
3 years ago
Find the missing angle ?
irakobra [83]

Answer:

25

Step-by-step explanation:

because there are vertical angles

8 0
3 years ago
Read 2 more answers
In triangle ACD, what is the value of X:<br> who ever show works gets brainly.
Keith_Richards [23]

Answer:

x = 7.5

Step-by-step explanation:

Given that BE is parallel to CD and intersects the 2 other sides, then it divides the 2 sides in proportion, that is

\frac{AB}{BC} = \frac{AE}{ED}, substitute values

\frac{x}{6} = \frac{10}{8} ( cross- multiply )

8x = 60 ( divide both sides by 8 )

x = 7.5

6 0
3 years ago
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