Answer:
The original length was 41 inches and the original width was 16 inches
Step-by-step explanation:
Let
x ----> the original length of the piece of metal
y ----> the original width of the piece of metal
we know that
When squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box
The dimensions of the box are

The volume of the box is equal to


so

simplify
-----> equation A
Remember that
The piece of metal is 25 in longer than it is wide
so
----> equation B
substitute equation B in equation A

solve for y

Solve the quadratic equation by graphing
using a graphing tool
The solution is y=16
see the attached figure
Find the value of x

therefore
The original length was 41 inches and the original width was 16 inches
Filling up the space because it has to be 20 characters
For this case we have the following functions:

We must find
. By definition we have to:

So:

Finally, the composite function is:

Answer:

Answer:
Step-by-step explanation:
Alright, lets get started.
Please refer the diagram I have attached.
MN is the diameter of the planet which is 
AM and NC are the distance of moons from the surface of the planet.

Since, angle ABC is given as 90 degree, it means, line AC will pass from the diameter of the planet.
So, distance between moon A and moon C is =



Hence the distance between point A and point C is 300000 Km. : Answer
Hope it will help :)
Answer:
Step-by-step explanation:
The existence of a unit rate implies that you have TWO variables. Here you list only one: $.
If you pay $2.98 for 6 units of something, such as pieces of fruit, then the unit rate would be:
$2.98
----------------------- = $0.50/piece
6 pieces of fruit