Answer:
11 Square Units
Step-by-step explanation:
Let A be the area of the Rectangle
First statement: The area of the rectangle is increased by seven, we have :
A+7
Second Statement: Four less than twice the area of the rectangle
Twice the Area=2A
Four less = 2A-4
Therefore:
2A-4=A+7
Collecting like terms
2A-A =7+4
A=11
The area of the rectangle is 11 Square Units.
Answer:
Before we graph
we know that the slope, mx, could be read as
. To graph the the equation of the line, we begin at the point (0,0). From that point, because our rise is negative (-1), instead of moving upwards or vertically, we will move downards. Therefore, from point 0, we will vertically move downwards one time. Now, our point is on point -1 on the y-axis. Now, we have 2 as our run. From point -1, we move to the right two times. We land on point (2,-1). Because we need various points to graph this equation, we must continue on. In the end, the graph will look like the first graph given.
For the equation y = 2, the line will be plainly horizontal. Why? Because x has no value in the equation. The variable
does not exist in this linear equation. Therefore, it will look like the second graph below. We graph this by plotting the point, (0,2), on the y-axis.
The formula is 
What are series?
In mathematics, we can describe a series as adding infinitely many numbers or quantities to a given starting number or amount.
We will find the formula as shown as below:
Let 
We know 



.
.

On adding










Hence, the formula is 
Learn more about Series here:
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Since the line is vertical, its slope is "undefined." This slope has no numerical value.
The point-slope form is y = mx + b. In this particular problem, the slope, m, is undefined, and there is no y-intercept (the line never crosses the y-axis).