Use the information to write the dimensions of each rectangle in terms of w, the width of the 1st one.
1st rectangle;
l = 2w
w = 2
2nd rectangle:
w = w
l = 2w + 4
If the area of the 2nd rectangle is 70 square meters, you will use the area formula to write an equation that you will solve using the factoring.
A = lw
70 = w(2w + 4)
70 = 2w^2 + 4w
0 = 2w^2 + 4w -70
0 = 2 (w^2 +2w - 35)
0 = 2 (w + 7) (w - 5)
To get zero, the width would need to be -7 or 5. Because it is a distance, it has to be 5 meters.
The width of both rectangles is 5 meters.
The range of the function as seen from the graph is:
(-∞,-2] ∪ [2,∞)
So all the values that are in this range must be selected from the given options. Therefore, the correct answer is:
Option A: 2
Option C: -4
Option E: -2
Answer:
***
Answers may vary depending on the person reading the graph.
It is hard to tell what they think crosses nicely.
For example, I decided that the graph crossed nicely at the following points:



Step-by-step explanation:
I see that the graph crosses at
,
, and
.
The equation
tells us the
-intercept is
since when
we have
.
The
-intercept for our graph is
. Therefore,
.
So far we have the equation:
.
Let's enter the other points creating a system of linear equations to solve:


Let's simplify:


Let's subtract 3 on both sides:


I choose to solve the system by elimination.
Let's multiply the top equation by -3:


Now adding the equations results in:

Divide both sides by 24:

Now using one of the equations we can find
:
with 


Add 13/6 on both sides:



Divide both sides by 2:


So we have the equation:

Let's evaluate
now:




Answer:
the slope should be 2
Step-by-step explanation:
You have to add the according numbers bcoz the a and b are just adding up
3+6 9