Answer:
6
Step-by-step explanation:
We have to use Pythagoras' identity twice to find y
The square on the hypotenuse is equal to the sum of the squares on the other two sides.
In right triangle MUT to find TU
TU² + 3² = 6², that is
TU² + 9 = 36 ( subtract 9 from both sides )
TU = 27 ( take the square root of both sides )
TU = 
= 
= 3
In right triangle NUT to find y
y² = 9² + (3 )² = 81 + 27 = 108 ( take the square root of both sides )
y = 
= 
= 6
These are the steps to solve this question. and I used Substitution to explain it.
1. Identify what you need.
2. Write out your two different equations.
30e + 115h = 1457 and e + h = 18
3. Identify witch way you would proceed. Substitution or Elimination.
4. Solve using you prefers way. for me I will use substitution. find either e first or h. this doesn't matter witch you start with.
5. Take one of the equations and get a variable alone. TIP: use the one share that variable stands alone.
6. When variable is alone. put what ever it equals on the other equation and solve. Do this once.
7. When solved take that answer and plug it into its desined spot and solve to find the other answer.
8. Alone both solutions from the answer to what e and h are.
Since the translation is 8 units right and 4 units down, we have to add 8 to the x coordinate and subtract 4 to the y coordinate.
R=(-2,1)
R' = (-2+8,1-4)= (6,-3)
R' = (6,-3)
Answer:
62.82
Step-by-step explanation:
C=2πA=2·π314≈62.81592cm
