Answer:
(5, 6, 9)
Step-by-step explanation:
The domain is basically the set of all x values while the range is the set of all y values, in this case, it's the values of f(x). To find the range, we can plug the x values into the equation:
f(-2) = 9
f(-1) = 6
f(0) = 5
f(1) = 6
f(2) = 9
Since we can't have repeats in the range, it would be: (5, 6, 9)
Answer:

Step-by-step explanation:
(Let the point where the altitude from
intersects
be called as point
.) First, let's find the area of parallelogram
. The area of a parallelogram is simply
, where
is the parallelogram's base and
is the parallelogram's height. If we let
and
be the base and height respectively, since we are already given their lengths, we know that the area of parallelogram
will be
.
Now, how does this information matter, you might ask? Well, we can take either
<em>or </em>
to be the base and either
or
to be the height. In this case, let's take the latter two options, as we are looking to find the length of
.
Therefore, we know that the area of parallelogram
can also be found by calculating
. Since we know the values of the area and
, we can write the following equation to solve for
:

(Substitute
and
into the equation)
(Divide both sides of the equation by
to get rid of
's coefficient)
(Simplify)
(Symmetric Property of Equality)
Hope this helps!
Answer:
Step-by-step explanation:
Let length be x and breadth be y .
Along the river no fencing is required so total boundary line of the rectangular land = x + y + y = x + 2y
add divider to it so total length
= x + 2y + y = x + 3y
x + 3y = 2400
area A = xy
y ( 2400 - 3y ) = A
2400y - 3y² = A
For maximum area dA / dy = 0
2400 - 6y = 0
y = 400 yards.
x = 1200 yards
largest area = xy
= 48000 sq yards.
The answer is x equals 1/2.
Pretty sure the answer is DFE