If DF=7x-3 and EG=5x+9, find the value of X
1 answer:
Answer:
Step-by-step explanation:
Using the given measurements of the angles and the lengths of the sides, we can determine that this figure must be a <u>rectangle</u>.
Diagonals of a rectangle are <em>always</em> equivalent/congruent.
We can use this information to set up an equation:
Add 3 to both sides:
Subtract 5x from both sides:
Divide both sides by 2
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Answer:
--- Objective function
Interval =
Step-by-step explanation:
Given
Represent the number with x
The required sum can be represented as:
Hence, the objective function is:
To get the the interval, we start by differentiating w.r.t x
<em>Using first principle, this gives:</em>
Equate S'(x) to 0 in order to solve for x
Subtract 1 from both sides
Multiply both sides by -1
Cross Multiply
Take positive square root of both sides because x is positive
Representing x using interval notation, we have
Interval =
To get the smallest sum, we substitute 1 for x in
<em>Hence, the smallest sum is 2</em>