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2 years ago

Giv me points for more

Mathematics

2 answers:

soldi70 [24.7K]2 years ago

8 0

Answer:

Step-by-step explanation:

In-s [12.5K]2 years ago

4 0

Answer:

what? im confused big time

Step-by-step explanation:

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Which angels are vertical angels?

babymother [125]

Answer:

Option. 3. Ang. OPS and Ang. OPN

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1 year ago

Woke out the following giving your answers in their simplest form 3/11÷3/11<br><br><br>

dedylja [7]

Answer:

Step-by-step explanation:

rm x 3/11 ÷ 3/11

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2 years ago

Which conversion factor below you can use to convert gallons to pints?

Korvikt [17]

Answer: 1 Cup = 8 fl oz

Step-by-step explanation:

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2 years ago

URGENT!!!!!!!! PLEASE HELP ASAP TIMED!!!!!!!!!!!!!!!

barxatty [35]

Step-by-step explanation:

Given that,

Perpendicular = 17 units

Hypotenuse = 25 units

We need to find the value of x.

Using Pythagoras theorem to find x.

Hypotenuse² = base²+perpendicular²

25² = x² + 17²

x = 18.3 units

So, the value of x is equal to 18.3 units. No, the sides do not form a Pythagorean triplet.

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2 years ago

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

2 years ago