Answer:
A. there is exactly one solution. the solution set is {(2, 0)}.
Step-by-step explanation:
3x + 8y = 6
3x - 8y = 6
when we add these 2 equations, we get
6x + 0 = 12
6x = 12
x = 2
now we use one of the original equations to get y :
3×2 + 8y = 6
6 + 8y = 6
8y = 0
y = 0
=(8)(3.4)+13.812
=27.2 + 13.812
=41.012
the Answer is 41.012
The present age of father is 86 years old and present age of son is 48 years old
<em><u>Solution:</u></em>
Given that, a father is now 38 years older than his son
Ten years ago he was twice as old as his son
Let "x" be the age of son now
Therefore, from given,
Father age now = 38 + age of son now
Father age now = 38 + x
<em><u>Ten years ago he was twice as old as his son</u></em>
Age of son ten years ago = age of son now - 10
Age of son ten years ago = x - 10
Age of father ten years ago = 38 + x - 10
Then we get,
Age of father ten years ago = twice the age of son ten years ago
38 + x - 10 = 2(x - 10)
28 + x = 2x - 20
2x - x = 28 + 20
x = 48
Thus son age now is 48 years old
Father age now = x + 38 = 48 + 38 = 86
Thus present age of father is 86 years old and present age of son is 48 years old
Answer:
c = <u>0.5 cm</u>
Step-by-step explanation:
Using the Sine rule in the triangle, then
= ( cross- multiply )
c × sin105° = 2 × sin15° ( divide both sides by sin105°
c = ≈ 0.5 cm ( to the nearest tenth )
