Justify means plug answer in and verify
so distribute 8(3-7x)=24-56x
143=7+24-56x
143=31-56x
minus 31 both sides
112=-56x
divide both sides by -56
-2=x
justify
plug it back
143=7+8(3-7x)
143=7+8(3-7(-2))
143=7+8(3-(-14))
143=7+8(3+14)
143=7+8(17)
143=7+136
143=143
true
x=-2
B is the answer because first number is 2 and common ratio is - 5
Answer:
<h2>
Area of the regular octagon is approximately 102ft²</h2>
Step-by-step explanation:
Given the radius and length of a side of regular octagon as shown;
radius = 6ft and length of side = 4.6ft
Area of a regular octagon is expressed as
where a is the length of one side. Given a = 4.6ft
Area = 

Area of the regular octagon is approximately 102ft²
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:

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

Replacing in the formula for the area we get:

Now we use the distributive law: