Answer:
m = -1/3
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Step 1: Write equation
x + 3y = 10
Step 2: Convert to slope-intercept form
3y = 10 - x
y = 10/3 - x/3
We see that our slope would be the term -1/3x. Since <em>m</em> is the coefficient of <em>x</em> and our slope, our slope <em>m</em> = -1/3
(9/2) (3)
--------- X -----
(2/3) (3)
(27/2)
---------
(2)
(27)
------
(4)
6 and (3/4) calories:1 minute
W= width
l= length= 2w-3
Area= length * width
A= lw
substitute l=2w-3 for l
54= (2w-3)(w)
54= 2w^2 - 3w
subtract 54 from both sides
0= 2w^2 - 3w - 54
factor the polynomial
0= (2w + 9)(w - 6)
Set each set of parentheses equal
to 0 and solve for width.
0=2w+9
-9=2w
-4.5= w NEGATIVE VALUE
0=w-6
6 cm=w
-4.5 is not the answer because it has a negative value. You cannot have a negative side of a photograph. So substitute 6 in to find length.
length= 2w-3
l= 2(6)-3
l= 12-3
l= 9 cm
CHECK:
w= 6cm
l= 9cm
Area= length * width
54= 6*9
54= 54
ANSWER: width= 6cm; length= 9cm
Hope this helps! :)
Answer:
(2001, 2125), (2006, 2360)
Step-by-step explanation:
An ordered pair refers to a pair of numbers or items in a simple and orderly manner. The order in which the items are grouped is very important. In graphs an ordered pair could be the coordinates of various points on the graph in terms of x and y, that is x and y coordinate (x,y).
From the question we are to form two ordered pair in the form (year, number of heart transplants).
to do this we simply fill out the items with their corresponding numbers where the first item is the year and second is the number of heart transplants.
in year 2001 we have (2001, 2125)
in year 2006 we have (2006, 2360)