Lunar missions have helped scientists track the motion of the moon. What have they discovered about its motion?

Mathematics

1 answer:

Vikki [24]3 years ago

4 0

Answer:

Step-by-step explanation:

You might be interested in

What two numbers multiply to -40 and add to 10

andreev551 [17]

Answer:

5 + sqrt(65), 5 - sqrt(65)

Step-by-step explanation:

x + y = 10

x×y = -40

so, two equations with 2 variables. using one equation to express one variable by the second. and then using the second equation to solve and calculate the second variable. and then by knowing the second variable we calculate the first.

=> x = 10 - y

=> (10-y)×y = -40

=> -1×(10-y)×y = 40

=> (y-10)×y = 40

=> y^2 - 10×y - 40 = 0

remember the solution for a quadratic equation

a×x^2 + b×x + c

x = (-b ± sqrt(b^2 - 4×a×c)/(2×a)

in our case

a = 1

b = -10

c = -40

and we used "y".

so,

y = (--10 ± sqrt((-10)^2 - 4×1×(-40))/(2×1) =

= (10 ± sqrt(100 + 160))/2 = (10 ± sqrt(260))/2 =

= (10 ± sqrt (4×65))/2 = 10/2 ± 2×sqrt(65)/2 =

= 5 ± sqrt(65)

for y = 5 + sqrt(65), x = 10 - 5 - sqrt(65) = 5 - sqrt(65)

for y = 5 - sqrt(65), x = 10 - 5 + sqrt(65) = 5 + sqrt(65)

6 0

2 years ago

Prof Liu gave the same quiz to the students in her morning class and in her afternoon class. the average score for the two class

yaroslaw [1]

Answer:

Step-by-step explanation:

Given that Prof Liu gave the same quiz to the students in her morning class and in her afternoon class. the average score for the two classes combined was 84.

(1) The average score for the students in the morning class was 80

(2) the average score for the students in the afternoon class was 86

Let m be the no of students in I class and n in II class

Total of I class = 80m and

Total of II class = 86n

Total of both classes = 80m +86n

Average = $\frac{80m+86n}{m+n} = 84$