Answer:
4.58257
Step-by-step explanation:
That is the square root of 21, so if there's a point about there, then choose it.
Factoring the top and bottom of the fraction we get
(x + 4)(x - 3
---------------
(x + 4) (x - 4)
The characteristic solution follows from solving the characteristic equation,

so that

A guess for the particular solution may be

, but this is already contained within the characteristic solution. We require a set of linearly independent solutions, so we can look to

which has second derivative

Substituting into the ODE, you have



Therefore the particular solution is

Note that you could have made a more precise guess of

but, of course, any solution of the form

is already accounted for within

.
9514 1404 393
Answer:
30°
Step-by-step explanation:
Consecutive interior angles are supplementary when the lines are parallel:
2x +4x = 180°
x = 180°/6
x = 30°
_____
<em>Comment on units</em>
A lot of times the angles are assumed to be measured in degrees. Using that assumption, x=30 (degrees). When no units are specified, the angle measure defaults to radians. In radians, x = π/6. (We rarely see problems of this nature where the angles are expected to be measured in radians. More often, we see poorly edited questions where angles need to be assumed to be measured in degrees.)
4ft is the radius of the circle (round table)
Use this formula to find the area of the circle:
Area =

²
so 4²
4² = 16
16

is your answer <3