Answer:
r = 12
Step-by-step explanation:
108 = 9r | Given expression
12 = r | Divide both sides by 9. 108 becomes 12 and 9r becomes r.
Answer:
Given :A star in the sky appears to move by 12 arc seconds over the course of 6 months.
To Find :Convert this number into first arc minutes then degrees.
Solution:
60 arc seconds = 1 arc minute
1 arc seconds =
arc minute
12 arc seconds =
arc minute
12 arc seconds =
arc minute
So, 12 arc seconds =
arc minute
Now convert it into degrees
60 arc minute = 1 degree
1 arc minute =
degree
arc minute =
degree
arc minute =
degrees
12 arc seconds =
degrees
Answer:


Step-by-step explanation:
Given

Solving (a): Write as inverse function

Represent a(d) as y

Swap positions of d and y

Make y the subject


Replace y with a'(d)

Prove that a(d) and a'(d) are inverse functions
and 
To do this, we prove that:

Solving for 

Substitute
for d in 




Solving for: 

Substitute 5d - 3 for d in 

Add fractions



Hence:

Answer:
C. 8x - 3y = 5
Step-by-step explanation:
7 - 3(x - y) = 5x + 2
Standard form: Ax + By = C
7 -3x + 3y = 5x + 2
7 -8x + 3y = 2
-8x + 3y = -5
Divide by -1 to each number
8x - 3y = 5