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:
Answer:
The 18x1 rectangle has a perimeter of 38, so not 18.
The 3x6 recatngle has a perimeter of 18.
The 6x3 rectangle has a perimeter of 18
The 9x2 rectangle has a perimeter of 22, so not 18
Step-by-step explanation:
Answer:
3/2+b
Step-by-step explanation:
Do the <u>y2-y1</u> method.
x2-x1
<u>Change in </u><u>y</u>
Change in x
<u>14-11</u>= 3/2
8-6
<u>11-8</u>= 3/2
6-4
<u>8</u><u>-</u><u>5</u>= 3/2
4-2
Then you can use any order pair of the table.
(I am using 8 and 14)
(8, 14); 3/2
y=mx+b
y= 3/2+b
Change the y to the 14.
14= 3/2(8) + b. 3/2= 1.5 * 8 ----> 12
14= 12+ b
<u>-12 = -12</u>
2=b
y= 3/2x+2
Hopefully the math terms won't confuse anyone.
So in the series, a_6 = 9 and a_8 = 15. Since it's an arithmetic sequence, all the terms in the series can be represented as:
a_n = a_0 + n * k
where n is the nth number. K is a constant you add to reach the next term, and a_0 is the starting constant.
a_6 = a_0 + 6 * k
a_8 = a_0 + 8 * k
solving this system gives you that
k = 3 and a_0 = -9
for any term n for this arithmetic sequence,
a_n = -9 + 3 * k