We are given a relationship between the sides of a rectangle, that is, the length of one of its sides is 5 less two times its width, and we are asked to find an expression for the area. Let's remember that the area of a rectangle is equal to the product of the length of its side by its width. Let "w" be the length of the rectangle and "L" its lenght, then the area is given by the following formula:

$A=Lw$

We can use the relationship given in the problem, that is, its length being five less two times its width, that is:

$L=5-2w$

Replacing in the formula for the area we get:

$A=(5-2w)w$

Now we use the distributive law:

$A=5w-2w^2$

7 0

1 year ago

Is this ordered pair a solution to the inequality?<br> (1, 3)<br> 5x+y<-3<br> A.)No<br> B.)Yes

max2010maxim [7]

(1,3) means that x = 1 and y = 3. Let's make substitutions to see what happens with the inequality

5*x + y < -3
5*1 + y < -3 ... replace x with 1
5*1 + 3 < -3 ... replace y with 3
5 + 3 < -3
8 < -3

This is false. The number 8 is NOT smaller than -3.

So (1,3) is NOT a solution

Answer: Choice A) No

3 0

4 years ago