1-7/3-1
-6/2
-3
Therefore, the slope of the line that passes through these points is -3.
Answer:
b. (x-3)(x+2)
Step-by-step explanation:
y=x^2-x-6
y=x^2-3x+2x-6
=x(x-3)+2(x-3)
=(x-3)(x+2)
Since, area of rectangle = 105 square inches.
Area of rectangle with length 'l' and width 'w' is given by the formula = 
It is given that the width of the rectangle is 14 inches.
We have to determine the length of the rectangle.
Let 'x' be the length of the given rectangle.
So, area of rectangle = 
So, x = 7.5 inches
Therefore, the length of the rectangle is 7.5 inches.
Answer:
3 cm
Step-by-step explanation:
The given relation between length and width can be used in the perimeter formula to find the width.
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Let w represent the width of the rectangle in centimeters. The length is 4 cm more, so can be represented by (w+4). Using these values and the given perimeter in the perimeter formula, we find ...
P = 2(L +W) . . . . . perimeter formula
20 = 2((w +4) +w) . . . . known values substituted
10 = 2w +4 . . . . . . . . divide by 2, collect terms
6 = 2w . . . . . . . . . subtract 4
3 = w . . . . . . . . divide by 2
The width of the rectangle is 3 cm.
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<em>Additional comment</em>
The length is 7 cm.
