Answer: x=3y+6
Explanation to solve:
You must move all terms not containing x to the right side of the equation!
Y = x² - 6x + 14
y = x² - 6x + 3² - 3² -14
y = (x - 3)² - 9 - 14
y = (x - 3)² - 23
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Answer : y = (x - 3)² - 23
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The given sequence is neither arithmetic nor geometric.
Further explanation:
In order to check whether a sequence is geometric or arithmetic we have to find the common ratio and common difference respectively
Common difference is the deifference between cunsecutive terms of a sequence while common ratio is the ratio between two consecutive terms.
Common difference is denoted by d and common ratio is denoted by r
- If the common difference is same then the given sequence is an arithmetic sequence
- If the common ratio is same then the given sequence is a geometric sequence
Given
1, 3, 6, 10, 15
Common difference:
Here

As the common difference is not same, the given sequence is not an arithmetic sequence
Common Ratio:

As the common ratio is also not same the sequence is not a geometric sequence.
The given sequence is neither arithmetic nor geometric.
Keywords: Arithmetic sequence, Geometric Sequence
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Answer:
Step-by-step explanation:
A) identical triangles PSR and PSQ
B) in the given triangle PQR angle P is 90 degrees and PS is perpendicular on QR. so the angle PSR and angle PSQ is 90 degrees also angles RPS , SPQ are 45 degrees . hence when two angles of a triangle are 90 and 45 degrees. the third is also 45 degrees. when the three angles of two triangles are equal they are said to be similar
C) the triangle PSR is a isosceles triangle therfore the two sides of the two oposite equal angles must be equal. if RS=4 then SP=4 as well the sides opposite to 45 degrees angles. the third side can be found by using the formula
c²=a²+b²
c²=4²+4²=16+16=32
c=√32=√16*2=4√2
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