So you have two of those--when you add those together, you get "seven and eight-tenths," or 7.8 The 2 shorter sides are what's left to still measure. If the total perimeter is 10.4, you get the shorter sides by: 10.4 - 7.8 = 2.6, but REMEMBER, the 2.6 is BOTH shorter sides added together, so each ONE of them is 1.3 SO... your hallway/rectangle is 3.9 meters on each long side, and 1.3 meters on each short side. i hope this helps you
Answer:
<em>n = 8 or n = −2</em> <em>is the correction solution.</em>
Step-by-step explanation:
As the absolute value equation is given:
| n−3 | = 5
We know either n − 3 = 5 or n − 3 = −5
n − 3 = 5 (First Possibility)
n − 3 + 3 = 5 + 3
n = 8
n − 3 = -5 (Second Possibility)
n = -5 + 3
n = -2
<em> So, n = 8 or n = −2</em> <em>is the correction solution.</em>
<em>Keywords: absolute value equation</em>
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Let x represent the length of the side of the pen that is parallel to the barn. Then the area (y) will be
.. y = x(300 -x)/2
This describes a downward opening parabola with zeros at x=0 and x=300. The vertex (maximum) will be found at the value of x that is halfway between those, x = 150.
For that value of x, the pen area is
.. y = 150(300 -150)/2 = 150^2/2 = 11,250 . . . . . square feet.
Answer:
The median is 37
Step-by-step explanation:
The median is the middle number in the set when organizaed from low to high:
15, 22, 37, 49, 82
From this arrangement, we can see that 37 is the middle number making it the median.
Answer:
y = -2x + 3
Step-by-step explanation:
The basic format of slope intercept form is y=mx+b.
y = any "y" value
m = the slope (or rate of change) of the line
x = any "x" value
b = the y-intercept (or the value of "y" when "x" is equal to 0)
Next, look at the graph to see what you know. You know that "y" and "x" will not have a specific value because they are constantly changing as you move along the line. So, y = y and x = x.
The "m" value can be determined by looking at the points where the line crosses on the graph. The first point you can look at is (0,3) because the x-value is 0 and the y-value is 3. The next point you can use is (1,1) because the x-value is 1 and the y-value is also 1. You would then calculate the slope by using the "rise divided by run" tactic. The line goes down by 2 (so the rise is -2). The line "runs" by 1 (so the run is 1). The rise divided by the run is -2. So m = -2.
The b value can be calculated by looking at what "y" equals when x = 0. When x = 0 on this graph, y = 3. So b = 3.
After filling in all of your known information, you should get y = -2x+3 .
