Answer:
Step-by-step explanation:
multiply both sides by 3x
3[x+40]x[x+40]
3x +120+x(square)+40x
43x+120+x(square)
quadractic equation
x(square)+43x+120
(x+40x+)(3x+120)
x(1+40)3(1+40)
x:3 or 40
By Green's theorem,

where
is the circle
and
is the interior of
, or the disk
.
Convert to polar coordinates, taking

Then the work done by
on the particle is

Answer:
i. The y -axis starts at zero but has different intervals.
ii. Different bar widths are used on the same graph.
iii. The y -axis doesn't start at zero.
Step-by-step explanation:
A graph is a plot showing accurate representation and presentation of correlation among variables of a given data. It is a tool that can be used to summarize all information about a given data for easy understanding and deductions.
A misleading graph is one that has an inappropriate representation of data, thus a wrong conclusion would be deduced or obtained from this type of graph. Misleading graph is majorly due to inconsistency, and errors in plot (axis or scale used).
Let's imagine the integers are a, b, and c. Since we know the sum of these numbers is 50 more than the smallest (which is a), our equation would look like this:
a + b + c = a + 50
We need a common variable, though, which we don't have right now. Since we know that these are 3 consecutive <em>even </em>integers, we know that:
b = a +2, which means that the second number is 2 more than the first number.
Using that same logic, we know that c = b +2 and since we know what b equals, we can sub that into this:
c = b + 2
c = (a + 2) + 2
c = a +4
So now instead of having this:
a + b + c = a + 50
We have this:
a + (a + 2) + (a + 4) = a + 50
3a + 6 = a + 50
Subtract a + 6 from both sides:
3a + 6 - (a + 6) = a + 50 - (a + 6)
2a = 44
Divide both sides by 2
2a/2 = 44/2
a = 22
The smallest integer is 22 which means the set would be:
22, 24, and 26