Write the following equation in standard form:`X^{2}+6X=-2`

Applying derivative concepts, the y-intercept of the line tangent to the curve at (2√3, √3) is: [tex]y = \sqrt{3}[/tex]

The equation of the line is:

[tex]y - y_1 = m(x - x_1)[/tex]

In which:

In this problem, point [tex](2\sqrt{3}, \sqrt{3})[/tex], hence [tex]x_1 = 2\sqrt{3}, y_1 = \sqrt{3}[/tex]

To find the value of [tex]\theta[/tex], we have that:

[tex]3\tan{\theta} = \sqrt{3}[/tex]

[tex]\tan{\theta} = \frac{\sqrt{3}}{3}[/tex]

[tex]\theta = \frac{\pi}{6}[/tex]

Then, for the slope:

[tex]\frac{dy}{d\theta} = 3\sec^{2}{\theta}[/tex]

[tex]\frac{dx}{d\theta} = 3\sec{\theta}\tan{\theta}[/tex]

Considering [tex]\theta = \frac{\pi}{6}[/tex]:

[tex]\frac{dy}{d\theta} = 3\left(\frac{2}{\sqrt{3}}\right)^2 = 2[/tex]

[tex]\frac{dx}{d\theta} = 3\left(\frac{2}{\sqrt{3}} \times \frac{\sqrt{3}}{3}\right) = 2[/tex]

[tex]m = \frac{\frac{dy}{d\theta}}{\frac{dx}{d\theta}} = 1[/tex]

Then, the equation of the line is:

[tex]y - y_1 = m(x - x_1)[/tex]

[tex]y - \sqrt{3} = x - 2\sqrt{3}[/tex]

[tex]y = x - \sqrt{3}[/tex]

The y-intercept is the value of y when x = 0, hence:

[tex]y = \sqrt{3}[/tex]

A similar problem is given at https://brainly.com/question/22426360

Answer:

Step-by-step explanation:

Find the miles per gallon rate of each car

Blue car:

Red car:

According the rates, the blue car could travel the greater distance

Answer:

regan ate more than maggie

Answer:

domain is the lenght of the road (in miles)

range is the number of days

Step-by-step explanation:

domain is the input because there building the road that is the input because the number of days is the output (range) because that is what happens from working on the roads (the input) what come out is the days they worked on the road

Answer:

2,160.00

Step-by-step explanation:

okay so first we have to find 4.5% of 12,000

which is 540, then multiply 540 by the four years and

540 x 4 = 2,160.00

The total loan amount would be equal to $14,310 in four years when Jay graduates.

Given the following data:

To determine how much (future value) the total loan amount would equal in four years when he graduates:

Mathematically, compound interest is given by the formula:

[tex]A = P(1 + r)^{t}[/tex]

Where;

Substituting the given parameters into the formula, we have;

[tex]A = 12000(1 + 0.045)^{4}\\\\A=12000(1.045)^{4}\\\\A=12000(1.1925)[/tex]

Future value, A = $14,310

Read more: https://brainly.com/question/16992474

Answer:

ñññ

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

(1)

Using the sine ratio in the right triangle

sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4}{6}[/tex] , then

x = [tex]sin^{-1}[/tex] ([tex]\frac{4}{6}[/tex] ) ≈ 41.8° ( to the nearest tenth )

(2)

Using the tangent ratio in the right triangle

tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{29}{14}[/tex] , then

x = [tex]tan^{-1}[/tex] ([tex]\frac{29}{14}[/tex] ) ≈ 64.2° ( to the nearest tenth )

(3)

Using the cosine ratio in the right triangle

cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{25}{40}[/tex] , then

x = [tex]cos^{-1}[/tex] ([tex]\frac{25}{40}[/tex] ) ≈ 51.3° ( to the nearest tenth )

Answer:

However much he had on his card in the first place.

Step-by-step explanation:

Say he had $500 on his card. He took 0 rides ( no rides ) so he doesn't lose any money. Leaving him with his starting amount, $500.

Answer:

The time in Auckland, New Zealand in the 12+ time zone: 21:00

The time in Athens, Greece in the +2 time zone:  22:00

The time in Trinidad in the -4 time zone:  05:00

The time and date in Chicago in the -6 time zone: 02:00 2016-10-19

The time and date Bangkok in the +7 time zone: 11:00 2016-10-20

The time and date in Greenwich: 06:00 2016-10-29

The time and date in Abu Dhabi in the +4 time zone: 30:00 2016-10-30

The time and date in a country in the +12 time zone: Uzbekistan 23:00 2016-11-02

The time and date in a country in the -12 time zone: Brazil 23:00 2016-11-01

The time and date in Honolulu located in the -10 time zone: 01:00 2016-11-02

When the time in Sri Lanka is 09:30 on 2017-05-02, find the time and date in Los Angeles located in the -8 time zone in the USA. 01:30 on 2017-05-02

(These are the answers i calculate i am not sure if they are fully correct)

Answer:

i belive it is 46.2

Step-by-step explanation:

Answer:

It is the second answer.

Step-by-step explanation:

Answer:

[tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = 9 ,\ x \neq 0[/tex]

General Formulas and Concepts:

Pre-Algebra

Evaluations

Order of Operations: BPEMDAS

Algebra I

Distributive Property

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

[tex]\displaystyle \frac{4(3x)^2}{(2x)^2}[/tex]

Step 2: Simplify:

[tex]\\ \sf\longmapsto \dfrac{4(3x)^2}{(2x)^2}[/tex]

[tex]\\ \sf\longmapsto\dfrac{ 4(9x^2)}{4x^2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{36x^2}{4x^2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{x^2}{x^2}\left(\dfrac{36}{4}\right)[/tex]

[tex]\\ \sf\longmapsto \dfrac{36}{4}[/tex]

[tex]\\ \sf\longmapsto 9[/tex]

Answer:

5⁵ is your answer bro mark me brainlist

Answer: many solutions

Step-by-step explanation:

Using permutations and the probability concept, it is found that there is a 0.0417 = 4.17% probability that Nia is chosen as president.

Permutation formula:

The number of possible permutations of x elements from a set of n elements is given by:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

Desired outcomes:

[tex]D = P_{23,3} = \frac{23!}{20!} = 10626[/tex]

Total outcomes:

4 students from a set of 24, hence:

[tex]T = P_{24,4} = \frac{24!}{20!} = 255024[/tex]

Then:

[tex]p = \frac{D}{T} = \frac{10626}{255024} = 0.0417[/tex]

0.0417 = 4.17% probability that Nia is chosen as president.

To learn more about probabilities, you can take a look at https://brainly.com/question/24437717

Answer:The answer is 23 P 3/ 24 P 4

Step-by-step explanation:

Answer:

y=x

Step-by-step explanation:

y=mx+b

m is the slope

b is the y-intercept

Since the y-intercept is at the 0 axis, the y-intercept will be zero

So now the equation is looks like this:

y=mx (Since y=mx+0 doesn't make a difference)

Now find the slope

Which is 1

Thus y=x

Hope this helps!

Answer:

Step-by-step explanation:

[tex]\frac{\sqrt{36x^3y^4}}{2x^{2/3}y^{-4}}=\frac{6x^{3/2}y^2}{2x^{2/3}y^{-4}}=3x^{5/6}y^6[/tex]

a=3, b=5/6, c=6

3*(5/6)*6= 15

Answer:

13

Step-by-step explanation:

Sorry no one answered in time, but you had it correct up to 26/2. 26/2 is correct (26 minutes for 2 people) but you need for 1 person so you divide by 2 to get 13 minutes per 1 person.

Answer: Fiona can buy six pairs.

15/2.5 = 6

Answer:

Fiona can buy 6 pairs

Step-by-step explanation:

2.50x 6

Alma was definitely correct to say that the tickets are $14 each.

The total amount in dollars the class have for tickets to the science museum

is $140.

The teacher writes as follows:

Alma says the tickets are $14 each.

Mohammed says that 14 students are going for the trip

The teacher divided 140 by 10. This means the number of student in the class is 10 not 14 as Mohammed enunciated.

The teacher divided the total amount available for the ticket($140) by the number of student in the class(10). Then the quotient ($14) is the amount in dollars which each student will pay for the ticket to the science museum.

Therefore, Alma was definitely correct.

learn more about algebra here:  https://brainly.com/question/11455464?referrer=searchResults

Answer:

-3.5 is the answer

I mean, I think this is referring to positive and negatives which if it is, it would be -3.5 .

Answer:

Follow these steps and you will find how to make a perpendicular line.

Step-by-step explanation:

Open the compass to a radius less than half the segment.

Draw two arcs intersecting the line on both sides of the point.

Draw two arcs using the intersection points as the centers. ...

Construct a line between this point and the original point.

Hope this helped :) -ish

Answer:

y = 3.2

Step-by-step explanation:

8/y = 10/4

10y = 32

y = 32 / 10

y = 3.2

we have: [tex](3,23)^{2} \neq (1,9)^{2} +(2,7)^{2}[/tex]

so the triangle isn't a right triangle

ok done. Thank to me :>