7. Un avión que sobre vuela el espacio aéreo del aeropuerto Olaya Herrera de Medellín, a una distancia constante de 3 km de la torre al aeropuerto, ¿Cuál es el lugar geométrico del trayecto que describe el avión en estar sobre vuelo circular con respecto a la torre de control?

Answers

Answer 1

Answer:

La ecuación de la trayectoria circular del avión es x² + y² = 9

Step-by-step explanation:

La forma general de la ecuación de un círculo se da como sigue;

(x - h)² + (y - k)² = r²

Dónde;

(h, k) = El centro del círculo

r = El radio del círculo

Dado que la distancia del avión a la torre es constante, tenemos la trayectoria del avión = trayectoria circular

El radio, r de la trayectoria circular = 3 km

Por lo que la trayectoria circular del avión se va a definir con respecto a la torre de control, tenemos;

El centro de la trayectoria circular del avión = La torre

Las coordenadas del centro de la trayectoria circular = (0, 0)

Por lo tanto, (h, k) = (0, 0)

Sustituyendo los valores conocidos, la ecuación de la trayectoria circular del avión se convierte en;

(x - h)² + (y - k)² = r² → (x - 0)² + (y - 0)² = r² = x² + y² = 3² = 9

La ecuación de la trayectoria circular del avión. = x² + y² = 9


Related Questions

Graph the solution set for 4y+3x-y> -6x+12

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Answer:

XSdfgfcxdcd

Step-by-step explanation:

ILL MARK U BRAINLIEST!!

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Answer:

American Revolution!!!

Step-by-step explanation:

Key words- COLONISTS- INDEPENDANCE BRITAN

Answer:

american revolution

Step-by-step explanation:

its the first time that the britian fought the americans

Look at picture, thanks

Answers

I can’t see it clearly

1. A flower arrangement has seven carnations and 21 daffodils. What is the ratio of carnations to daffodils in the arrangement?
a: 1to2
b: 1to3
c: 2to3
d: 3to1

Answers

The answer I thinks it’s c

Answer:

c 2to3

Step-by-step explanation:

I've been stuck on this for a hour!!!!!!!!

Answers

Answer:

x ≤ 17

or the charge in dollars per sweater must be less than or equal to 17.

Explanation:

3W - 8 + 3W = -4 + 5W - 5
can someone do it and show the work / how you did it

Answers

Answer:

W = -1

Step-by-step explanation:

3W - 8 + 3W = -4 + 5W - 5

combine like terms

6W - 8 = -9 + 5W

subtract 5w on both sides

W - 8 = -9

add 8 on both sides

W = -1

Answer:

answer is -1

explanation in picture

What percent is 444 out of 20278

Answers

Answer:

2.189565045862511

Step-by-step explanation:

Answer:

2.19 %

Step-by-step explanation:

Used a calculator (Answer is rounded to the nearest hundredths place.)

A tree is currently 10 feet tall and grows 2 feet per year. Write an arithmetic sequence in explicit formula that can model this scenario.

Answers

Given:

A tree is currently 10 feet tall and grows 2 feet per year.

To find:

The arithmetic sequence in explicit formula that can model this scenario.

Solution:

Current height of tree is 10 feet. So, initial value of the arithmetic sequence is a=10.

It grows 2 feet per year. So, common difference is d=2.

The explicit formula for an arithmetic sequence is

[tex]f(n)=a+(n-1)d[/tex]

where, a is first term and d is common difference.

Put a=10 and d=2 in the above formula.

[tex]f(n)=10+(n-1)2[/tex]

[tex]f(n)=10+2n-2[/tex]

[tex]f(n)=8+2n[/tex]

Therefore, the explicit formula for given scenario is [tex]f(n)=8+2n[/tex].

The ideal gas law takes the form PV=NRT where P represents pressure, V represents volume, N represents number of moles of gas, R represents gas constant, and T represents temperature in kelvins.

Answers

Pv=NRT I think y because it is

Write the equation of the line with slope 2/3 passing through (6,5) in slope-intercept form.

Answers

Answer:

2 = (2/3)*(6)+b

2 = 4+b

b= -2

so slope intercept form is y = (2/3)x -2

To find the point slope form, simply plug in m and the point given.

y-2 = (2/3)*(x-6)

Step-by-step explanation:

About 71% of the students at Woodrow Wilson Middle School take a bus to
school. If there are 891 students in the school, about how many students take
the bus?

A. 56
B. 63 C. 560
D. 630

Answers

The answer to this question is D 630

Last month the ending balance on Maryanne’s Mastercard was $1,789, the average daily balance was $755, and the monthly periodic rate is 1.85%. Her finance charge can be calculated by multiplying the ending balance times the monthly periodic rate. So the finance charge is $1,789 ´ 0.0185 = $33.10.

Answers

Answer:

False

Step-by-step explanation:

Based on the information given we can calculate the finance charge of Maryanne’s by simply multiplying her average daily balance which is the amount of $755 times her monthly periodic rate which is 0.0185.

Hence, Maryanne's finance charge is calculated by using this formula

Finance charge=Average daily balance*Monthly periodic rate

Let plug in the formula

Finance charge= $755* 0.0185

Finance charge= $13.97

Therefore Maryanne's finance charge will be $13.97

HURRYYYY
Which relation is a function?

Answers

Uh I would help you but I can’t sorry

Answer:

graphs that pass the vertical line test and is a function

bottom one on the left has only one y output and doesn't pass through xy twice

Step-by-step explanation:

pls help math problem​

Answers

6.333(repeating) as a decimal and 6 4/9 as a fraction

A ball shaped like a sphere has a radius of approximately 338 inches. What is the volume of the ball to the nearest tenth (use 3.14 for pi)?

Answers

Answer:

the answer is 161747922.1 inches^3

If you don’t know the real answer don’t give me a fake one I just need help!

Answers

Answer:
1. x + 24 = 3x
24 = 3x - x
24 = 2x
12 = x

3x
3 (12)
36

2. 10x - 27 = 7x
10x - 7x = 27
3x = 27
x = 9

7x
7 (9)
63

3. 5x + 1 = 6x - 13
5x - 6x = -13 - 1
-x = -14
x = 14

5x + 1
5 (14) + 1
71

4. 6x + 3 = 4x + 39
6x - 4x = 39 - 3
2x = 36
x = 18

6x + 3
6 (18) + 3
111

1. B
2. A
3. H
4. E

slope for (1 -2) (3 3)​

Answers

Answer:

[tex] \frac{5}{2} [/tex]

Step-by-step explanation:

The formula for slope is (y₂-y₁)/(x₂-x₁)

Which means the (y) from the Second ordered pair subtract (y) from the 1st ordered pair, then divide by (x) from the second ordered pair, minus the (x) from the first.

So (3-(-2))/(3-1)

5/2

Our slope is 5/2

Answer:

5/2

Step-by-step explanation:

Did this assignment and made a 100

Hope this helps

Which equation represents a line perpendicular to the line whose equation is
6y+5x=48 !!!!!!

Answers

Step-by-step explanation:

im putting it in y=mx+b form here

6y+5x=48

subtract 5x on both sides

6y=-5x+48

divide by 6 on both sides

y=(-5x/6)+8

so the slope is -5/6

perpendicular lines have opposite inverse slopes

so

m=6/5

now that you know the slope, hopefully you can find the answer with the same slope, since you didn't provide potential options

A line having the same slope and perpendicular to the line 6y + 5x = 48 is

5y -6x = 40.

What are lines and their slopes?

We know lines have various types of equations, the general type is

Ax + By + c = 0, and equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

We also know that perpendicular lines have slopes that are negative reciprocals of each other.

Given, 6y + 5x = 48, this in slope-intercept form is,

6y = -5x + 48.

y = (-5/6)x + 8.

Now, the line perpendicular to it has a slope of (6/5) and assuming it has the same y-intercept.

∴ The equation of the perpendicular line is y = (6/5)x = 8.

y - (6/5)x = 8.

5y -6x = 40.

learn more about lines and slopes here :

https://brainly.com/question/16180119

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How would you rewrite the following expression: 3 1/2 divided by 4/5?

Answers

3 and 1/2 times 5/4 or 7/2x5/4 do that and you get 35/8 simplify to get 4 and 3/8

On a coordinate plane, 2 triangles are shown. Triangle F D E is a right triangle and has points (1, 0), (1, 3), and (5, 0). Triangle Q R P is a right triangle and has points (negative 1, negative 2), (negative 1, negative 5), and (negative 5, negative 2). Are ΔDEF and ΔRPQ congruent? Yes. ΔDEF can be mapped to ΔRPQ by a reflection across the x-axis followed by a translation 2 units left. Yes. ΔDEF can be mapped to ΔRPQ by a 180° rotation about the origin followed by a translation 2 units down. No. ΔDEF cannot be mapped to ΔRPQ by a rigid transformation or combination of rigid transformations.

Answers

Answer:

Yes

ΔDEF can be mapped to ΔRPQ by a 180° rotation about the origin followed by a translation 2 units down

Step-by-step explanation:

The coordinates of the vertices of the triangles are;

F(1, 0), D(1, 3), and E(5, 0), and Q(-1, -2), R(-1, -5), and P(-5, -2),

Length of FD = √((3 - 0)² + (1 - 1)²) = 3

Length of DE = √((5 - 1)² + (0 - 3)²) = 5

Length of FE = √((5 - 1)² + (0 - 0)²) = 4

For triangle QRP, we have;

Length of QR = √((-5 - (-2))² + (-1 - (-1))²) = 3

Length of RP = √((-5 - (-1))² + (-2 - (-4))²) = 5

Length of PQ = √((-5 - (-1))² + (-2 - (-2))²) = 4

For a reflection across the x-axis, we have;

For a rotation of 180° about the origin, we have;

For a coordinate of the preimage before reflection of (x, y), the coordinates of the image after reflection is (-x, -y)

When followed by a translation 2 units down, we have the coordinates of the image will be (-x, -y-2)

Therefore;

For the points F(1, 0), D(1, 3), and E(5, 0) on triangle FDE, we have;

Rotation 180° about the origin gives;

F(1, 0) → Rotation by 180° → F'(-1, 0)

D(1, 3) → Rotation by 180° → D'(-1, -3)

E(5, 0) → Rotation by 180° → E'(-5, 0)

For a translation 2 unites of the coordinates of the vertices of the above triangle ΔF'D'E',

F'(-1, 0) → Translation 2 units down → F''(-1, -2)

D'(-1, -3) → Translation 2 units down → D''(-1, -5)

E'(-5, 0) → Translation 2 units down → E''(-5, -2)

The coordinates of the vertices of triangle ΔF''D''E'' are equivalent to the coordinates of the ΔQRP

Therefore, ΔDEF, and ΔRPQ are congruent, because ΔDEF can be mapped to ΔRPQ by a 180° rotation about the origin followed by a translation 2 units down.

Answer:

Yes

ΔDEF can be mapped to ΔRPQ by a 180° rotation about the origin followed by a translation 2 units down

Step-by-step explanation:

please help meeeeeeee

Answers

Answer:

3/2 is the slope

Step-by-step explanation:

Answer:

with what

Step-by-step explanation:

A map uses the scale 4 inches = 24 miles. If two cities are 60 miles apart in real life, how far apart are they on the map?

Answers

Answer:

10 inches i believe.

Which property of addition is shown?
9 + 1 = 1 + 9
associative

commutative​

Answers

Answer:

commutative

Step-by-step explanation:

it is commutative because both side equal the se thing

9.
8
7
6.
.
54
4.
3.
19
6 154
13
4
5
6
7
8
19
-S
-6.
7
--
91

Answers

wow so emotional making me cry

48 / -6 =
i might need more help

Answers

Answer:

-8

Step-by-step explanation:

You just simplify

Can somebody explain Circumstances and Radius to me? Like the basics of it? Please tell me how to do it at least, I’m not understanding it and I need to get my grades up, fast. Thank you!

Answers

Answer:

SURE

Step-by-step explanation:

circumference is is pretty much the perimeter of a circle.

radius is the distance from the center of the circle to anywhere on the circles circumference. (google should have some good pictures to help explain)

If a frustrated student kicks a wall with 100N force, and does not break, how much force does
the wall respond with?

Answers

Answer:

100n back i guess

Step-by-step explanation:

rip kids foot

The force exerted by the wall on the student's foot if the student kicks a wall with 100 N force, is 100 N.

What is force?

Force is the influence of either pull or pushes in the body. Basically, gravitation forces, nuclear forces, and friction forces are the types of forces. For e.g. when the wall is hit by a hand then a force is exerted by the hand on the wall as well as the wall also exerts a force on the hand. There are different laws given to Newton to understand force.

Given:

A student kicks a wall with 100 N force,

As we know that every action has an equal and opposite reaction, written in Newton's Law,

Thus, the wall will also exert a force of 100 N on the foot of the student.

To know more about Force:

https://brainly.com/question/13191643

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find the area and perimeter

Answers

Answer: P=3 A=7 I think.

Step-by-step explanation:

The perimeter is basically how many sides are there so on this shape there is 3 if u count it and the area is how many squares or whatever is inside the shape so the 11 and 23 stand for the squares on those sides where the numbers are so if u add 11+23=34 so on the last side it only shows u 1 square and has no number so now u have to make the rest of those square till u cant and on the end of it it cant be a square bc its a triangle so it does not have a square like type of shape to where u can make it even. I hope this helps have a nice day or night:)

3x6-2x4 in Bidmas someone please help

Answers

Answer:

10

Step-by-step explanation:

1. 3 x 6 = 18

2. 2 x 4 = 8

3. 18 - 8 = 10

A. 10

can someone explain how to do this to me plsss??

Answers

Answer:hey! ur picture shows nothing :(

Step-by-step explanation:

I think u can creat a new question or edit this one, i can help if i see the problem

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