Answer:
Step-by-step explanation:
Let the one of the side lengths of the rectangle be 
and the other be 
.
We can write the following equations, where will be the side opposite to the wall:
From the first equation, we can isolate 
and substitute into the second equation:
Therefore, the parabola 
denotes the area of this rectangular enclosure. The maximum area possible will occur at the vertex of this parabola.
The x-coordinate of the vertex of a parabola in standard form 
is given by 
.
Therefore, the vertex is:
Plug in 
to the equation to get the y-coordinate:
Thus the vertex of the parabola is at 
. This tells us the following:
- The maximum area occurs when one side (y) of the rectangle is equal to 25
- The maximum area of the enclosure is 1,250 square meters
- The other dimension, from
, must be 
And therefore, the desired answers are:
21 over 50 is
21/50.
The same thing, just put 21 on top, a line under it, and below that line, put the 50
Answer:
(56/45)x^7
Step-by-step explanation:
28x^4 20
---------- ÷ ----------- becomes
27 24x^3
28x^4 24x^3
---------- * ----------- if we invert the divisor fraction and then multiply.
27 20
We get: (28)(24)
-------------- x^7
(27)(20)
which reduces to (7)(24) x^7 (7)(8)x^7
--------------- = ------------- = (56/45)x^7
27(5) 9(5)
Answer: 106 km/h,2.5 hr
Step-by-step explanation:
Given
The train travels 315 km in the same time car travels 265 km
The average speed of the train is 20 kmph faster than car
Suppose, speed of the car is v and it travels 265 km in t hours
Time taken to travel is
