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3 years ago

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Mathematics

1 answer:

goldenfox [79]3 years ago

4 0

Answer:

Step-by-step explanation:

slope=(6-2)/(1-4)=4/-3=-4/3

eq. of line is y-2=-4/3(x-4)

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Scientists discover two planets orbiting a distant star. The average distance from the star to Planet A is 4 AU, and it takes 43

Kitty [74]

Answer:

Option C - 9 AU

Step-by-step explanation:

To find : What is the average distance from Planet B to the star?

Solution :

According to kepler's law,

The squares of the sidereal periods (of revolution) of the planets are directly proportional to the cubes of their mean distances from the Sun.

i.e. $P^2\propto S^3$

We have given,

The average distance from the star to Planet A is $S_1=4$ AU.

It takes 432 Earth days for Planet A to orbit the star i.e. $P_1=432$

It takes 1,460 days for Planet B to complete an orbit i.e. $P_2=1460$

Substitute the values in $(\frac{P_1}{P_2})^2=(\frac{S_1}{S_2})^3$

$(\frac{432}{1460})^2=(\frac{4}{S_2})^3$

$0.0875=(\frac{4}{S_2})^3$

Taking root cube both side,

$\sqrt[3]{0.0875}=\frac{4}{S_2}$

$0.444=\frac{4}{S_2}$

$S_2=\frac{4}{0.444}$

$S_2=9.00$

The average distance from Planet B to the star is 9 AU.

Therefore, Option C is correct.

5 0

3 years ago

Line SU bisects angle RST. Which statement is NOT true?

Lorico [155]

In geometry, the angle bisector theorem is concerned with the relative lengths of the two segments that a triangle's side is divided into by a line that bisects the opposite angle. It equates their relative lengths to the relative lengths of the other two sides of the triangle.
so the answer is B

5 0

3 years ago

Read 2 more answers

PLEASE HELP I DIDNT PAY ATTENTION IN ZOOM 8th GTRADE MATH

cricket20 [7]

Answer:

idk................ 40?

Step-by-step explanation:

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3 years ago

Solve for |2x-8|=|x+3|

Ne4ueva [31]