The value of x is 3, while the length of the rectangle is 30 units and the width is 24 units.
<h3>How to determine the dimensions?</h3>
The given parameters are:
Base = 5(x+3)
Height = 2(x+9)
Perimeter = 108
The perimeter of a rectangle is
P = 2 *(Base + Height)
So, we have:
2 *(5(x + 3) + 2(x + 9)) = 108
Divide both sides by 2
5(x + 3) + 2(x + 9) = 54
Open the brackets
5x + 15 + 2x + 18 = 54
Evaluate the like terms
7x = 21
Divide by 7
x = 3
Substitute x = 3 in Base = 5(x+3) and Height = 2(x+9)
Base = 5(3+3) = 30
Height = 2(3+9) = 24
Hence, the value of x is 3, while the length of the rectangle is 30 units and the width is 24 units.
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1. if we add something in x then it will also add up in value of y
2. x by 5 times then y value increases by 3*5 = 15 times
3. if x is added with 5 then y value increases by 8.
<h3>What is Algebra?</h3>
Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.
As, per the first part
y=x
So, if we add something in x then it will also add up in value of x.
In second part,
y=3x
If x by 5 times then y value increases by 3*5 = 15 times
In third part, if x is added with 5 then y value increases by 8.
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Answer:
Two
Step-by-step explanation:
x² + 4 = 4x + 1
x² - 4x + 3 = 0
x² - 3x - x + 3 = 0
x(x - 3) - (x - 3) = 0
(x - 3)(x - 1) = 0
x = 1, 3
y = 4(1) + 1 = 5
y = 4(3) + 1 = 13
Two solutions: (1,5) (3,13)
Circumcenter is the one among the following choices given in the question that may fall outside a triangle. The correct option among all the options that are given in the question is the first option or option "A". I hope that this is the answer you were looking for and it has come to your help.
Answer:
Step By Step Explanation:
Statistical: A survey, branch or mathematics consisting of data collection, organization, analysis, interpretation and presentation.
A statistical question deals with social problems, people, or something that must be studied and data gained. Statistical questions must have data sets and data gained. They also must have answers that vary from side to side or opinion to opinion, in order to be qualified as a 'statistical question'.
"<u><em>An Antique Collector wants to know the age or a particular chair in a shop</em></u>"
V
Statistical Not Statistical
This is not a statistical question because there is no data that needs to be collected, no surveys that need to be filled out and no analysis, interpretation and presentation. The answer to this question does not vary. It is simply a fact.
