Answer
<em>length = width + 15</em>
<em>Area = length * width; area is 54 square feet.</em>
<em>Two equations are:</em>
<em>L = W + 15</em>
<em>L * W = 54</em>
<em>To solve, we substitute first equation into second equation:</em>
<em>(W + 15) * W = 54</em>
<em>w^2 + 15w = 54</em>
<em>w^2 + 15w - 54 = 0</em>
<em>(w+18)(w-3) = 0</em>
<em>w = -18 or 3</em>
<em>The width cannot be negative, so 3 is the width and since length is 15 more than width, length is 18:</em>
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<em>Length = 18 feet</em>
<em>Width = 3 feet</em>
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Answer: Answer:
There is moderate level of overlap between the two data sets.
Step-by-step explanation:
Overlap of data sets.
Overlap measures the degree of duplication that exists within data sets.
It is an indicator of the degree to which data are identical.
We are given two data sets in the question.
We have to find the amount of overlap in data set 1 and in data set 2.
There are 8 data points in data set 1 as shown in the image.
There are 8 data points in the data set 2 as shown in the image.
Out of the 8 data points for both data set 1 and data set 2, 5 data points overlap each other on 6, 7, 8 and 9.
Thus, we could say there is moderate level of overlap between the two data sets.
9514 1404 393
Answer:
(f/g)(x) = 1/(2x)
x ≠ 1/2
Step-by-step explanation:
The domain restriction x ≠ 1/2 comes from the requirement to prevent the denominator factor 6x-3 from being zero.
Halving-reduce by half or think what is fifty% of the number or divide by two
doubling-add the number you got to the same number or multiply by two
Halving Ex.:6/2=3
Doubling ex.: 9+9=18 or 6*2=12
You have the polygon MNOPQR which can be expressed as two rectangles pasted one next to each other.
To see the two rectangles in the picture, you can draw a line parallel to segment MR througn point N.
From the original picture you can state the dimensions of both rectangles.
Call S, the point where the line that you drew intercepts the segment RQ.
Then one rectangle is MNSR and the other rectangle is OPQS.
The measures of the sides of the rectangle MNSR are:
- the length of MN = length of SR = base
- the length of MR = the length of NS.= height
So its area is base * height, which you can all A1.
The measured of the rectangle OPQS are:
- segment OP = segment SQ = segment QR - segment SR = base
- segment PQ = segment OS = height
So its area is base * height, which you can call A2.
Then the area of the polygon MNOPQRS is A1 + A2. One of them is 9 u^2 and the other is what the answer is asking for, and that you have calculated above.
With this procedure you can tell the value needed.
