Answer:
Liam Only
Step-by-step explanation:
Flvs Geometry Honors
Answer:
9 inches by 12 inches
Step-by-step explanation:
So let's say <em>L</em>=length and <em>W</em>=width.
Since the problem states that the length should be 3 inches longer than the width, <em>L</em><em>=</em><em> </em>W+3
And the formula to find the perimeter of a rectangle is 2L+2W
so plug in W+3 for L and you get 2(W+3)+2W
Then distribute
2W+6+2W
Combine like-terms
4W+6
And the problem states the perimeter is 42 inches so,
4W+6=42
Subtract 6 to both sides
4W=36
Divide by 4 to both sides
W=9
So the width is 9
And to get the length, plug in 9 for W in L=W+3
L=9+3
L=12
So the length is 12
Answer:
462 pounds
Step-by-step explanation:
weighs 42 pounds
and the water 11 times more
so, 42*11 = 462 pounds
The solution to a system of (linear) equations is the point where the graphs intersect. Consider two parallel lines. By definition, two parallel lines never intersect each other, but all pairs of non-parallel lines will eventually intersect. That means they will also have a solution.
Let's consider what makes a line parallel to another line. It basically looks identical, having the same steepness (slope), but the graph is just shifted over. That is, a parallel line would have the same slope and a different y-intercept. For our equation

, or

in slope-intercept form, a parallel line will be of the form

.
That describes the form of a parallel line, which we do not want. Any other line, however, will give a solution to our system, so we merely want a line where the slope does not equal 2.
We can have any equation of the form

.