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NARA [144]
3 years ago
11

What's the perimeter of the wall hanging to the nearest tenth of a centimeter

Mathematics
1 answer:
Temka [501]3 years ago
8 0
You just add the LxW and for area you multiply LxWxLxW
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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
Sissy wants to enlarge a picture of a princess so that she can put it on the wall in her daughter’s room. What will be the area
KATRIN_1 [288]

Answer:

The answer is D on edge.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Leah walks to soccer practice on Saturday. She leaves her home and walks 600 meters north. Leah then turns east and continues on
Diano4ka-milaya [45]

Answer:

800m

Step-by-step explanation:

this would be solved using Pythagoras theorem

we are to find the base

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

600² + b² = 100²

b² = 10000 - 3600

b² = 6400

take the square root of both sides

b = 800m

4 0
2 years ago
Which of the following is the most appropriate unit to describe the rate of the cost of gasoline?
nikdorinn [45]
<span>C.Gallons per dollar, because the dependent quantity is the gallons</span>
3 0
3 years ago
Read 2 more answers
I need this answer ASAP!!
Anuta_ua [19.1K]

Answer:

It is either 7.62m or 10m

Step-by-step explanation:

Eduphoria

3 0
2 years ago
Read 2 more answers
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