Ask question

Ask question

All categories

4 years ago

5

Can some one help me with number 1.

1 answer:

sammy [17]4 years ago

6 0

D. 34 and 56 degrees - when added together equal 90 degrees

You might be interested in

56. How many tangent lines to the curve <img src="https://tex.z-dn.net/?f=y%3Dx%20%2F%28x%2B1%29" id="TexFormula1" title="y=x /(

PIT_PIT [208]

There are 2 tangent lines that pass through the point

$y=\frac{1}{(-1+\sqrt{3)^2} } (x-1)+2$

and

$y=\frac{1}{(-1-\sqrt{3)^2} } (x-1)+2$

Explanation:

Given:

$y=\frac{x}{x+1}$

The point-slope form of the equation of a line tells us that the form of the tangent lines must be:

$y=m(x-1)+2$ $[1]$

For the lines to be tangent to the curve, we must substitute the first derivative of the curve for $m$ :

$\frac{dy}{dx} =\frac{d(x)}{dx}(x+1)-x^\frac{d(x+1)}{dx} \\ \\$

$\frac{dy}{dx} =\frac{x+1-x}{(x+1)^2}$

$\frac{dy}{dx}= \frac{1}{(x+1)^2}$

$m=\frac{1}{(x+1)^2}$ $[2]$

Substitute equation [2] into equation [1]:

$y=\frac{x-1}{(x+1)^2}+2$ $[1.1]$

Because the line must touch the curve, we may substitute $y=\frac{x}{x+1}:$

$\frac{x}{x+1}=\frac{x-1}{(x+1)^2}+2$

Solve for x:

$x(x+1)=(x-1)+2(x+1)^2$

$x^2+x=x-1+2x^2+4x+2$

$x^2+4x+1$

$x\frac{-4±\sqrt{4^2-4(1)(1)} }{2(1)}$

$x=-2$ ± $\sqrt{3}$

$x=-2$ ± $\sqrt{3}$ <em> </em> $and$ $x=-2-\sqrt{3}$

There are 2 tangent lines.

$y=\frac{1}{(-1+\sqrt{3)^2} } (x-1)+2$

and

$y=\frac{1}{(-1-\sqrt{3)^2} } (x-1)+2$

8 0

3 years ago

Claudia is making a candle by pouring melted wax into a mold in the shape of a cylinder. The radius of the cylinder’s base is 4

Sati [7]

The formula of a cylinder is 2πr (r+h)

2π4 (4+9)

8π (13)

25.13 (13)

326.73

Cubes: area = a^3

3x3x3 = 27

326.73 / 27 = 12.1

Claudia would need to buy 13 wax cubes to fil the candle.

hope this helps k12 students :)

3 0

2 years ago

Tom is throwing darts at a target. In his last 30 throws, Tom has hit the target 20 times. You want to know the estimated probab

Musya8 [376]

Each scenario can be used to simulate probability, and there are 3 correct scenarios and 2 incorrect scenarios in the list of options

<h3>How to categorize the simulations?</h3>

From the question, we have the following parameters:

Number of throws = 30
Number of hits = 20

This means that the probability of hit is:

P(Hit) = 20/30

Simplify

P(Hit) = 2/3

Using the complement rule,

P(Miss) = 1/3

The above means that the simulation that represents the situation must have the following parameters:

P(Success) = 2/3
P(Failure) = 1/3
Number of experiments = 3

Using the above highlights, the correct scenarios are:

Rolling a die three times with numbers 1 to 4 representing a hit
Spinner a spinner of 3 equal sections three times with two sections representing hit
Spinner a spinner of 6 equal sections three times with four sections representing hit

Read more about probability at:

brainly.com/question/25870256

#SPJ1

6 0

2 years ago

Sean answered 18 of 20 quiz questions correctly. What percent of the quiz questions did Sean answer correctly?

ozzi

The answer is 90%. You get this answer by multiplying both the numerator and denominator by 5 so 18x5=90 and 20x5=100 giving you a fraction of 90/100 and a percentage of 90%.

8 0

4 years ago

Read 2 more answers

Use the Parabola tool to graph the quadratic functions.

OLEGan [10]

Step-by-step explanation:

HOPE IT WILL BE HELPED U DEAR FRIEND

6 0

3 years ago