I need help with this question

[tex](-4.89, 3)[/tex] and [tex](4.89, 3)[/tex] are the farthest from the origin and [tex](0, -1)[/tex] is the closest from the origin.

Let be a curve of the form [tex]x^{2}+3\cdot (y-2)^{2} = 27[/tex]. The distance with respect to origin is found by using the following Pythagorean identity:

[tex]r = x^{2}+y^{2}[/tex] (1)

Where [tex]r[/tex] is the square distance function.

We can modify (1) as following:

[tex]r = [27-3\cdot (y-2)^{2}]+y^{2}[/tex]

[tex]r = 27-3\cdot (y^{2}-4\cdot y +4)+y^{2}[/tex]

[tex]r = 27-3\cdot y^{2}+12\cdot y -12 + y^{2}[/tex]

[tex]r = -2\cdot y^{2}+12\cdot y+27[/tex] (1b)

Now we apply the First and second derivative tests to determine the minimum and maximum distances from the origin:

First derivative test

[tex]-4\cdot y +12 = 0[/tex]

[tex]y = 3[/tex]

Second derivative test

[tex]r'' = -4[/tex]

The y-component represents a maximum.

Now we graph the function with the ressource of a graphing tool, we find the following points:

Farthest points: [tex](-4.89, 3)[/tex], [tex](4.89, 3)[/tex].

Closest points: [tex](0, -1)[/tex].

[tex](-4.89, 3)[/tex] and [tex](4.89, 3)[/tex] are the farthest from the origin and [tex](0, -1)[/tex] is the closest from the origin.

To learn more on ellipses, we kindly invite to check this verified question: https://brainly.com/question/19507943

Answer:

2999

Step-by-step explanation:

There's a lot of possibilities bc it didn't mention any tens columns.

Answer:

x = 4

Step-by-step explanation:

6 : 4.5 = 4 : 3

x : 3 = 4: 3

x= 4

Answer:

1/2 approximately 1/2......

Answer: C. (1/2)

Step-by-step explanation: You can see they split the box into 2 halves and one half is shaded so 1/2 is shaded you can also solve by 2/2 - 1/2 = 1/2

Answer:

  E  840 cm

Step-by-step explanation:

For a 20×20 grid, there will be 21 strands in the vertical direction, and 21 in the horizontal direction. Each strand wil be 20 cm long. The total length is ...

  (20 cm)(2 × 21) = 840 cm

_____

Additional comment

In this case, we take "similar" to mean that the grid squares are 1 cm, and the wire encloses a larger array of those squares.

In geometry, the term "similar" would mean the larger grid is simply a scaled-up version of the smaller one, with squares that are 20/3 cm, instead of 1 cm. The length of wire required in that case is (4+4)(20 cm) = 160 cm = (20/3)×(24 cm).

Answer:

$ 12600

Step-by-step explanation:

According to the question, you have to find the simple interest that Devon earn after 2 years,

You can use this formula to find that.

Here,

P = principal ( $ 900)

r = rate ( 7%)

t = time ( 2 years)

Let us solve now.

I = p × r × t

 = $ 900 × 7% × 2 years

 = 6300 × 2

 = $ 12600

Hope this helps you.

Let me know if you have any other questions :-)

Hey there!

5x < -10

DIVIDE 5 to BOTH SIDES

5x/5 < -10/5

CANCEL out: 5/5 because it gives you 1

KEEP: -10/5 because it helps solve for the x-value

NEW EQUATION: x < -10/5

SIMPLIFY IT!

x < -2

It is an OPEN circle shaded to the RIGHT

Therefore, your answer should be:

Option A. x < -2

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

7, 9, 11

Step-by-step explanation:

question: Find three consecutive odd integers such that the difference of twice the second and the first is 11.

make the 3 consecutive odd intergers x, y, and z.

numbers are consective (come right after another) AND odd, meaning you would add 2 every time. therefore:

x+2=y

y+2=z

given that: "difference of twice the second and the first is 11."

difference means subtraction

second number is the variable y

first number is the variable x

2y-x=11

----------------

3 equations:

2y-x=11

x+2=y

y+2=z

----------solve by substitution

x+2=y

x =y-2 into 2y-x=11

2y-(y-2)=11

2y-y+2=11

y=9

second number is 9

-----

numbers are 7, 9, 11

Step-by-step explanation:

He can choose the dispay boxes that are 0.5 in, 1/4 in, and 3/8 in

Hope this helps

May I get braineist pls?

Population are often modelled by exponential functions

The population will reach 1000000 people after 26.5 years

The population function is given as:

[tex]P(x) = 692600 \times 1.014^x[/tex]

When the population reaches 1000000 people, we have:

P(x) = 1000000

So, the equation becomes

[tex]1000000 = 692600 \times 1.014^x[/tex]

Divide both sides by 692600

[tex]1.444=1.014^x[/tex]

Take logarithm of both sides

[tex]log(1.444)=log(1.014)^x[/tex]

Apply logarithm to both sides

[tex]log(1.444)=xlog(1.014)[/tex]

Make x the subject

[tex]x = \frac{log(1.444)}{log(1.014)}[/tex]

Solve the logarithms of 1.444 and 1.014

[tex]x = \frac{0.15957}{0.00603}[/tex]

Divide

[tex]x = 26.5[/tex]

The value of x, is the number of years the population reaches 1000000 people.

Hence, the population will reach 1000000 people after 26.5 years

Read more about population at:

https://brainly.com/question/24581924

Answer:

that would be 20 lol

Step-by-step explanation:

in this question, we are given the poverty function Our X equals no point to for X equals not 123 on before. So we are asked to find the mean and standard deviation. So the first step is to dio our property distribution tables. We are no one to hey wonderful. When we get told, it's no point to went to Teoh went to and not point to stuff. It's nice and easy. The next room we need to do is X he exit. We're gonna times are probability of X which is not 20 for all of them and by the value of X itself. So for the 1st 1 we're times in nor point to buy zero So we get zero 2nd 1 time to North point to buy one which is no point to no no point to about two, which is full no point you by three which is six and no 60.2 times four which is ain't on Then the way we get the main is to some all these together. So every animal together we get to not to is me which is on me I'm just gonna put less some of X P x is a reminder of how we got that. So if we do total so the next thing we need to dio is doomed. Ex spread P X so x zero squared is still zero and zero times. Anything is zero once where it is still one so that times not point to a store not point to. But now two squared is four of four times no point to there's no 0.8 three squared is nine. So no 90.2 times nine is now. One point ain't on four spread is 16 so one out of the North Point to buy 16 which is 3.2 on the total for that is not quick to note. 0.8 plus 1.8 plus 3.2, which gives us six. So we now need ah variation, which is the expectation of X. It's what, which is this Butthead and we need to take from that expectation of X, which is our mean squared same. We're looking at six minus to squared. So that's six minus four, which is to on to get the standard deviation. We just need to do root off answer. So If we do, son deviation equal root of Arians equals route to Ruutu is actually an irrational number. So it will just keep going forever. So we'll just simplify to one distal place, which is 1.4. So they haven't you mean is too on the standard deviation is 1.4.

Answer:

none , its 2  2/5

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

it will be 3 because 4 3/5`s is 2 and 2/5 and 3 3/5`s is 1 and 4/5 hope that helped your question.

Answer:

B.

Step-by-step explanation:

It is not A because it does not make sense and does not match up.

It Is not C because that is just points and it is asking for a function.

D is wrong.

So It is B.

Here is the graph for B. It matches up.

[tex]\mathrm{Axis\:interception\:points\:of}\:2x-1:\quad \mathrm{X\:Intercepts}:\:\left(\frac{1}{2},\:0\right),\:\mathrm{Y\:Intercepts}:\:\left(0,\:-1\right)[/tex]

[tex]\mathrm{Slope\:of\:}2x-1:\quad m=2[/tex]

Answer:

x = 33

Step-by-step explanation:

(x-17)°+(5x-1)°=180°

6x-18 = 180

6x = 198

x = 33

Answer:

[tex] \frac{1}{2} \: \: \: \: \: \frac{1}{4 \: } \: \: \: \frac{1}{8} [/tex]

[tex] \frac{4}{8} \: \: \: \frac{2}{8} \: \: \: \frac{1}{8} [/tex]

She ate

[tex] \frac{7}{8} [/tex]

Answer:

-3/4

Step-by-step explanation:

Answer:

6x +4=10

I think this is answer

Answer:

(x-1) and (x-5)

Step-by-step explanation:

option a .......

Answer:

4 Hours

Step-by-step explanation:

2 1/6 = 13/6

1 5/6 = 11/6

13/6+11/6= 24/6

Simplify 24/6 which will give you 4

1 km = 1000 m, so:

23,769 km = 23,769 · 1000 m = 23 769 m

Answer:

23769m

Step-by-step explanation:

Basicly, 3.769x 1000= 23769m

Please mark brainliest

Answer: The answer is B

Step-by-step explanation:

It's B because every pound is $14 and for C it looks similar, until you add another pound and then option B becomes $28 per 2 pounds and option C becomes $25 per 2 pounds. Therefore, the answer is B

Answer:

962

Step-by-step explanation: 30²- 6² is 962

Answer:

-13°F is the change in temperature.

Step-by-step explanation:

The change in temperature is,

→ -1 + x = -14

→ x = -14 + 1

→ [ x = -13 ]

Hence, -13°F is the change.

Answer:

The mode is 31

good luck naka

answer ?

30 or 30W

Step-by-step explanation:

this isn't a real equation. you can't have an equal sign inside a parentheses but assuming that the question is 6(W) and W equals 5, we can substitute the 5 and distribute the 6 to get 6x5 = 30

Answer:

Step-by-step explanation: