Explain how to find the estimated sum of 5/8 + 2/9 .
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Answer:
See below ~
Step-by-step explanation:
Completing the square :
- 9y² - x - 18y + 10 = 0
- 9y² - 18y + 9 - 9 - x + 10 = 0
- <u>(3y - 3)² - x + 1 = 0</u>
<u></u>
Graph :
<u>Given</u>:
Given that ABCD is a rectangle.
The diagonals of the rectangle are AC and DB.
The length of AE is (6x -55)
The length of EC is (3x - 16)
We need to determine the length of the diagonal DB.
<u>Value of x:</u>
The value of x can be determined by equating AE and EC
Thus, we have;
Substituting the values, we get;
Thus, the value of x is 13.
<u>Length of AC:</u>
Length of AE =
Length of EC =
Thus, the length of AC can be determined by adding the lengths of AE and EC.
Thus, we have;
Thus, the length of AC is 46.
<u>Length of DB:</u>
Since, the diagonals AC and DB are perpendicular to each other, then their lengths are congruent.
Hence, we have;
Thus, the length of DB is 46.