The length of a rectangular flower bed is 3 feet less than its width. The area of the flower that is 70 ft.² find the dimensions of the flower bed

The dimensions of the flowerbed is 7 ft by 10 ft

Step-by-step explanation:

Firstly, Let's assign variables.

Let the length of the flower bed be l while the width of the flower bed be w.

From the question, we know that the length is 3ft less than the width. Mathematically, this can be expressed as an equation as follows;

 w = l + 3 .............................(i)

The area of the bed is 70 ft.² What this means is that the product of the length and width of the bed is 70 ft.²

Mathematically;

l × w = 70 ................................(ii)

Now substitute i into ii

⇒ l × (l + 3) = 70

since length cannot be negative, we only take the value of l = 7

From (i), we know that w = l + 3

substituting l = 7 here, we have w = 7+3 = 10

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)

answer: the proof is mentioned below.

step-by-step explanation:

since, given:   lines bc = ef

prove:   lines ac > ef

          statements                                           reason

1. bc=ef                                           1. given

2. ac= ab+bc                                 2. because b is the point between the  

                                                            line segment ac

3.   ac > bc                                       3. because if a line segment is equal to

                                                          the sum of two line segments then it is

                                                          always greater then each of these

                                                          individual line segments

4. ac > ef                                         4. by equality property.