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Vesnalui [34]
3 years ago
11

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. A rectangle is shown wi

th length x plus 10 and width 2 x plus 5. The inside of the rectangle is shaded other than an unshaded square with length x plus 1 and width x plus 1. Write an expression for the area of the shaded region in its simplest form. Show all of your steps.

Mathematics
1 answer:
Verizon [17]3 years ago
3 0

Answer:

x² + 23x + 49

Step-by-step explanation:

Since the area of a rectangle is: A = l x w, where l = length and w = width, we can find the overall area of the shaded region by multiplying the entire area and subtracting the smaller area of the unshaded square:

(2x + 5)(x + 10) - (x + 1)² or (2x + 5)(x + 10) - (x² + 2x + 1)

Distribute/FOIL:  

2x² + 20x + 5x + 50 - x² - 2x -1

Combine like terms:

x² + 23x + 49

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Suppose that the angle between 39 and 4x + 4 is t degrees as you know they make a straight line together thus :

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8y - 43 = 4x + 4 + t

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The equation of the line will be given as y = -4x - (- 17/ 4).

<h3>What is an equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.


Given that:-

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The equation of the line will be given as:-

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slope m will be calculated as:-

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