1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Andrej [43]
3 years ago
14

Earth is represented on a map of a portion of the solar system so that its surface is the circle with equation x2+y2+8x+2y−4883=

0. A weather satellite circles 0.4 unit above Earth with the center of its circular orbit at the center of Earth. Find the general form of the equation for the orbit of the satellite on this map.
Mathematics
1 answer:
vodka [1.7K]3 years ago
6 0

Answer:

The general form of the equation for the orbit of the satellite is x^{2}+y^{2}+8\cdot x+2\cdot y = 4939.16.

Step-by-step explanation:

From statement we have the general equation of the elliptic form of Earth. First we have to transform this formula to the standard form of the equation of the circle. That is:

1) x^{2}+y^{2}+8\cdot x +2\cdot y -4883=0 Given

2) (x^{2}+8\cdot x)+(y^{2}+2\cdot y) = 4883 Associative, commutative and modulative properties/Compatibility with addition/Existence of additive inverse.

3) (x^{2}+8\cdot x +16)+(y^{2}+2\cdot y+1)-17=4883 Associative, commutative and modulative properties/Compatibility with addition/Existence of additive inverse.

4) (x+4)^{2}+(y+1)^{2} = 4900 Square perfect trinomial/Result

According the result, the center of Earth is C(x,y) = (4, 1) and the square of the radius of Earth equals 4900. That is: r = 70

If satellite circles 0.4 unit above Earth, then the equation of the orbit of the satellite is:

(x+4)^{2}+(y+1)^{2}=70.4^{2}

(x+4)^{2}+(y+1)^{2} = 4956.16

Now we transform this into its general form:

1) (x+4)^{2}+(y+1)^{2} = 4956.16 Given

2) x^{2}+8\cdot x +16+y^{2}+2\cdot y+1 = 4956.16 Square perfect trinomial

3) x^{2}+y^{2}+8\cdot x+2\cdot y = 4939.16 Associative, commutative and modulative properties/Compatibility with addition/Existence of additive inverse/Result

The general form of the equation for the orbit of the satellite is x^{2}+y^{2}+8\cdot x+2\cdot y = 4939.16.

You might be interested in
I neeed help asap please
alexandr1967 [171]

Answer:

last option.

linear pair

.............

6 0
3 years ago
2 y - 8 / 3 equals a + 3 B / 4 solving for y
zhuklara [117]
-2x+5
I am pretty sure
4 0
3 years ago
Which type of triangle is formed by the points P(0, 6), Q(-3, 0 ), and R(3, 0)?
stiv31 [10]
It is an isosceles triangle
5 0
3 years ago
8 less then a number n is -13
Oliga [24]

Answer:

equation: 8-n=13

answer: n = 21

Step-by-step explanation:

3 0
3 years ago
What is the value of 24x -60
Aleksandr [31]

Answer:

-1440

Step-by-step explanation:

24x -60 = -1440

3 0
2 years ago
Other questions:
  • Monica uses 3 tablespoons of milk in her custard recipe. The ratio of tablespoons to fluid ounces is 2 : 1. How many fluid ounce
    15·1 answer
  • Can someone solve these and thank YOU
    13·1 answer
  • what a third of a number is subtracted from ahalf of the same number, 60 is the result. Find the number.
    14·1 answer
  • 1. Describe the transformations necessary to transform the graph of
    6·1 answer
  • What is the range of the given function?
    9·1 answer
  • PLEASE HELP .!!! ILL GIVE BRAINLIEST.. *EXRTA POINTS* .. DONT SKIP :(( ! <br> ILL GIVE 40 POINTS .
    6·2 answers
  • Which of the following graphs represents the solution set for y&lt; -2x – 4? ​
    5·1 answer
  • The vertices of the quadrilateral JKLM are J(-2,0), K(-1,2), L(1,3), and M(0,1). Can you use the slopes
    10·1 answer
  • Determine whether the sample is a simple random sample. In order to test for a gender gap in a way that men and women purchase c
    11·1 answer
  • 2) State the area of the given triangle.
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!