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The area of the rectangle shown is expressed as 4x² - 2x - 6
The diagram is attached below:
Area of a rectangle = Length * width
From the diagram;
Length = 4x - 6
Width = x+1
Substitute the given parameters into the formula as shown:
Area = 4x-6(x+1)
Area = 4x(x) + 4x (1) - 6x - 6
Area = 4x² + 4x - 6x - 6
Area = 4x² - 2x - 6
Hence the area of the rectangle shown is expressed as 4x² - 2x - 6
Learn more here: brainly.com/question/20968176
Answer: I'm not going to give out the answers but I'm happy to explain it and help you out if you're still confused. I'm a geometry honors student rn btw just so you know my credentials.
Step-by-step explanation:
To find slope and write it in slope-intercept form you first need to know the equation and what different variables represent.
y = mx + b is the equation for slope-intercept. You need to find what m and b are to right a slope-intercept equation. for example the first problem's answer is y = x + 1
m is slope which is the angle that the line is at. To find slope or m, you need to choose a point on the graph. Then, count the amount of spaces vertically and horizontally until the next point on the graph. When I say point, I'm referring to a place on the graph where the line cross perfectly over the intersection of two lines on the graph. Slope is always 'rise over run' meaning it is a fraction containing the amount up or down, over the amount left or right. For example, the first problem (the one on the top left) the slope is .
b is the y-intercept. The y intercept where the line crosses the y-axis which is that bold line going up and down in the middle. For example in number one, the y-intercept is 1 because it is one unit up from the origin. (the origin is 0,0, or the very middle of the graph).
Hope this helps! :)
Answer:
The answer is -22x² - 14x.
Step-by-step explanation:
You have to eliminate the brackets by multiplying :
Next you can simplify but there is no common terms in this expression so it remains the same.