6|8
10|13
12|15
16|18
18|21
the question does not present the options, but thisdoes not interfere with the resolution
we know that
Perimeter of rectangle=2*[W+L]
where
L is the length of rectangle
W is the width of rectangle
Perimeter=18 cm
so
18=2*[W+L]-----> divide by 2------> 9=W+L
Let
x-------> L
y-------> W
then
x+y=9
using a graph tool
see the attached figure
the slope of the line is m=1
the x intercept is the point (9,0)
the y intercept is the point (0,9)
The relationship between the width and length of a rectangle given a constant perimeter is inverse; as the length increases, the width decreases proportionally. The graph representing this relationship would feature the length on the x-axis and width on the y-axis, and the line would represent all pairs of length and width that satisfy the equation
The problem in question asks to find the relationship between the width and length of a rectangle given its perimeter. In the given expression,
P = 2l + 2w
, where P is the perimeter, l is the length, and w is the width of the rectangle. Given that P = 18 cm, the relationship between the width and length can be represented by the equation
w = (P - 2l)/2
which implies that as the length increases the width decreases proportionally to maintain the constant perimeter. We must then create a graph where the x-axis represents the length and the y-axis represents the width, and a line representing possible solutions (l, w) that satisfy both the equation and the conditions given (length and width must be greater than 0).
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Answer: 3.5
Step-by-step explanation:
Log(10)(3.5) = 3.5
log(10)=1
1(3.5) = 3.5
The common logarithm, or log base 10, of 3.5 is about 0.544068. However, when rounded to two decimal places, it is 0.54.
The question is asking for the value of log_(10)(3.5). To find this, you would need to use a calculator that has a logarithm function. This value does not have a simple, exact decimal representation, but it can be approximated. Using a calculator, we find the common logarithm, or log base 10, of 3.5 to be approximately 0.54.
However, the question asks us to round this answer to two decimal places. So, using the rules of rounding numbers, we can round 0.544068 to 0.54.
Remember, when you're rounding numbers, if the digit after the place to which you're rounding is 5 or greater, you round up, otherwise, you round down.
Note: Before the days of calculators, we used log tables. Nowadays, we have a simple and easy way to calculate logs - calculators! If you are using a scientific or graphing calculator, there is typically a 'log' button that enables you to calculate logs at the push of a button.
Learn more about Logarithm here:
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Answer:
1/2
Step-by-step explanation:
When reducing fractions, you're trying to answer the question, "do the numerator and denominator have any common factors that can be canceled?" Knowing your multiplication tables helps answer this question.
Answer:
1/2
Step-by-step explanation:
7
7/14 is identical to ---------
2(7)
This can be reduced to 1/2 by cancelling out the 7s.