Answer:
2.9 mi
Step-by-step explanation:
The time difference t between 12.30pm and 3.30pm is 3h.
Let the distance to Marat's house be s.
The equation to calculate velocity v is given by:
v = distance / time.
Now you can write an equation for the time difference t and use the two velocities and the 90 min(= 1.5h) she stays:
3 = s/12 + 1.5 + s/2.3
Solve this equation for s:
(1/12 + 10/23)* s = 1.5
s = 2.9
4 cos² x - 3 = 0
4 cos² x = 3
cos² x = 3/4
cos x = ±(√3)/2
Fixing the squared cosine doesn't discriminate among quadrants. There's one in every quadrant
cos x = ± cos(π/6)
Let's do plus first. In general, cos x = cos a has solutions x = ±a + 2πk integer k
cos x = cos(π/6)
x = ±π/6 + 2πk
Minus next.
cos x = -cos(π/6)
cos x = cos(π - π/6)
cos x = cos(5π/6)
x = ±5π/6 + 2πk
We'll write all our solutions as
x = { -5π/6, -π/6, π/6, 5π/6 } + 2πk integer k
Start your line at y=15 and for every number on x go up one square
It would take just over 6 minutes assuming it takes him 2. 6 minutes to wax a single square inch somehow.
Answer:
All real numbers except x=-7
Step-by-step explanation:
Since 
is a discontinuity in the rational function, this makes the denominator equal to 0.
