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2 years ago

14

What is value of x?

2 answers:

miss Akunina [59]2 years ago

7 0

Answer:

27

Step-by-step explanation:

Verified correct with test results.

inysia [295]2 years ago

4 0

X=27
Hopefully this helped

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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

Is a + b rational or irrational

Crank

Answer and fdaStep-by-step explanation:::

The answer depends on the numbers that are inputted for a and b.

If the numbers that are inputted for both a and b are rational, then a + b would be rational.

If the numbers that are inputted for both a and b are irrational, then a + b would be irrational.

If one of the variables is rational and the other is irrational, then a + b would be irrational.

#teamtrees #PAW (Plant And Water)

6 0

2 years ago

s Chegg uppose you have purchased a filling machine for candy bags that is supposed to fill each bag with 16 oz of candy. Assume

Novosadov [1.4K]

Answer:

it 68.9

Step-by-step explanation:

because u add all that

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2 years ago

Can someone help me with this? (screenshot of problem attached)

mote1985 [20]

Answer:

Step-by-step explanation:

Hello. Would love to try and help, your screenshot is not showing up when I click on it though.

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3 years ago

What is the coefficient of q in the sum of these two expressions?

a_sh-v [17]

Answer: 1/2

Step-by-step explanation:

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3 years ago