a rectangle is 5 feet longer than it is wide. the perimeter of the rectangle is 34 feet. what is the length of the rectangle?
2 answers:
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The highest rate on increasing is of 12x -6y = -24; Option B is the correct answer.
The options are given in the image attached with the answer
<h3>What is a Function ?</h3>A function is a law that relates a dependent variable and an independent variable.
It is asked among the options given , which is increasing at the highest rate.
To increase at a rate , the value of the slope , m should be > 0
For the Option 1
for a straight line function , the slope is given by
m = ( y₂ -y₁)/(x₂-x₁)
m = ( -3 -3)/(2- (-1)) = -6 /3 = -2
Therefore the function is decreasing
For Option 2
12x - 6y = -24
-6y = -12x -24
y = 2x +4
m = 2 (increasing)
For option 3
m = (-4 + 5)/(2-1) = 1
For Option 4
(8,0) (0,-4)
m = (-4 -0) /(0-8) = 4/8 = 1/2
The highest rate on increasing is of 12x -6y = -24
Therefore Option B is the correct answer.
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Answer:
132 mm^2
Step-by-step explanation:
The line added to the figure in the attachment shows it can be divided into two figures whose area is easily calculated.
1. A parallelogram of base length 20 mm and height 4 mm:
A = bh = (20 mm)(4 mm) = 80 mm^2
2. A trapezoid with bases 32 mm and 20 mm, and height 2 mm:
A = (1/2)(b1 +b2)h = (1/2)(32 mm +20 mm)(2 mm) = 52 mm^2
The total area of the figure is then ...
80 mm^2 +52 mm^2 = 132 mm^2
