Answer:
D
Step-by-step explanation:
The length of the rectangle is 6 inches shorter than the length of s, while the width of the rectangle is 1 inch longer than the length of s
Length of rectangle = s -6
Width of rectangle = s + 1
P rectangle = 2L + 2W or 2(L+W)
=> 2((s-6)+(s+1))
=> 2(2s-5)
=> 4s - 10
Considering the definition of a line, the equation of the line that passes through the point (-2, 1) and has a slope of 1/3 is y= 1/3x + 5/3.
<h3>Linear equation</h3>
A linear equation o line can be expressed in the form y = mx + b
where
- x and y are coordinates of a point.
- m is the slope.
- b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.
<h3>Line in this case</h3>
In this case, you know:
- The line has a slope of 1/3.
- The line passes through the point (-2, 1).
Substituting the value of the slope m, you get:
<u><em>y= 1/3x + b</em></u>
Replacing the value of the point in previous expression, the value of the ordinate to the origin b can be obtained:
1= 1/3× (-2) + b
1= - 2/3 + b
1 + 2/3= b
<u><em>5/3= b</em></u>
Finally, the equation of the line is y= 1/3x + 5/3.
Learn more about equation of a line:
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Answer:

Step-by-step explanation:
The angle measure of a straight line is (180) degrees As given in the picture, line (AC) is a straight line, thus its angle measure is (180) degrees. Angles (ABD) and (DBC) make up line (AC). Therefore, one can conclude that the sum of angles (ABD) and (DBC) is (180) degrees. Form an equation, simplify and use inverse operations to solve for the unknown parameter (q).

Substitute for the angle measures,

Simplify,

Inverse operations,

To solve the equation:

Therefore, the answer is u=19.
Hope it helps!