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3 years ago

15

25 POINTS to answer question!

2 answers:

wel3 years ago

6 0

The answer is A.

Hope I helped!

Let me know if you need anything else!

~ Zoe

Amiraneli [1.4K]3 years ago

5 0

The answer would be "A".

This is because the line would have to cross through -4 on the y-axis on the graph. "A" is the only answer that has a line through -4.

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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

docker41 [41]

Answer:

10 11 12 13 14 15 16 17 18 19

10 10 11 12 13 14 15 16 17 18 19

Step-by-step explanation:

3 0

2 years ago

Use the image below to answer the following question. What relationship do the ratios of sin x° and cos y° share? (1 point) A ri

dlinn [17]

Answer:

m 36.606

Step-by-step explanation:

90*sin24

90*0.406

is equal to 36.606

approximately 37

5 0

2 years ago

A concrete pillar has the shape of a cylinder. It has a radius of 4 meters and a height of 9 meters. If concrete costs $87 per c

otez555 [7]

Answer:

28425.13

Step-by-step explanation:

Plug in the radius and height, and then multiply by 87.

Formula : A=2πrh+2πr2

6 0

3 years ago

· At Jefferson High School, 30% of students drive to school, 60% of students ride the bus to

Marrrta [24]

Answer:

Difference = 250 students

Step-by-step explanation:

Let the total number of students be x.

Given the following data;

% driving = 30%

% riding = 60%

% walking = 10%

Number of students driving = 375

First of all, we would determine the total number of students.

Total = 30/100 * x = 375

0.3x = 375

Total, x = 375/0.3

Total, x = 1250 students.

Next, we determine the number of students walking;

Walking = 10/100 * 1250

Walking = 12500/100

Walking = 125 students

Finally, we would determine many more students drive to school than walk to school;

Difference = 375 - 125

Difference = 250 students

3 0

3 years ago