Answer:
Step-by-step explanation:
This is arithmetic sequence so you should go to linear equations in your head.
Think of the question asking you to find the equation of line going through the points:
(14,-33) and (15,9).
First, let's find the slope.
You need to compute y's change over x's change.
The way I like to do that is line up the points vertically, subtract them, and then put 2nd difference over first.
Like this:
( 15 , 9)
-( 14 , -33)
------------------
1 42
So the slope is 42/1=42.
(The slope is our common difference.)
Now point slope form is:
y-y1=m(x-x1) where m is the slope and (x1,y1) is a point you know on the line.
So we have m=42 and (x1,y1)=(15,9). (You could have chose the other point.)
y-9=42(x-15)
I'm going to put in slope-intercept form. Slope-intercept form is y=mx+b where m is the slope and b is the y-intercept.
y-9=42(x-15)
Solve for y by adding 9 on both sides:
y=42(x-15)+9
Distribute 42 to terms in the ( ) :
y=42x-42(15)+9
y=42x-630+9
y=42x-621
So we can which back to n now:
Answer:
Step-by-step explanation:
The area of a rectangle can is defined as where w is the width and l is the length. The width in this case is 12 and the length is 15. Also it doesn't really matter what order you put it in. This gives you an area of