Answer:
59/ 60
Step-by-step explanation:
1.9 can be expressed as 19/10
Thus, our equation becomes
19/10 -11/12.
This becomes (228 -110) / 120
= 118 / 120
Simplify by 2 to get
59/60
Answer:
Step-by-step explanation:
Key to this method is remembering that

So, if you divide the coefficient of x by 2 and square it, that will complete the square. With that in mind, things are easy.
6/2 = 3, so add 

So, c=9
Similarly, for the other two,

You don't really have to worry about the sign, since squaring will always make it positive

Answer:
2π
Step-by-step explanation:
Period is the time it takes for the wave to reach one full cycle, which is the distance between the adjacent crests. The first crest is at 0 and the second crest is at 2π. Therefore, it takes 2π seconds to complete a full cycle. Hope this helps!
Answer:f(x)= 3*1/k
8=3*1/k
K=3/8
When x=2
f(x)=2*3/8
f(x)=3/4
Step-by-step explanation:
Answer:
y =
x + 
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = 
with (x₁, y₁ ) = (- 2, 1 ) and (x₂, y₂ ) = (6, 3 )
m =
=
=
=
, then
y =
x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (6, 3 ) , then
3 =
+ c ⇒ c = 3 -
= 
y =
x +
← equation of line