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3 years ago

A 13-mile relay race is equally split up between 5 friends. which expression shows the distance each friend will run?

Mathematics

2 answers:

Readme [11.4K]3 years ago

8 0

13/5 would be the answer if it's not a multiple choice.

IrinaVladis [17]3 years ago

7 0

Answer:

$x=\frac{13\ miles* 1\ friend}{5\ friends} =2.6\ miles$

Step-by-step explanation:

Hello

I think I can help you with this

we can define a relation between the total distance and the number of friends using a rule of three

Step one

Let

total distance (d) = 13 miles

Total friends = 5 friends

$13\ miles = 5\ friends\\x\ miles = 1\ friend\\\\\frac{13\ miles}{5\ friends} =\frac{x\ miles }{1\ friend}\\ \\isolating\ x\\\\x=\frac{13\ miles* 1\ friend}{5\ friends} =2.6\ miles$

I hope it helps , have a good day

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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.

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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:

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

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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 $x^{2}+y^{2}+8\cdot x+2\cdot y = 4939.16$ .

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