An irrational number is any number that <em>cannot be written as a ratio of two integers</em>.
The famous constants and are two such examples; they can both be <em>approximated</em> by rational numbers (), but never expressed <em>exactly</em>.
Answer:
∠DEA=∠BAC
Step-by-step explanation:
∠DAE=∠BCA (corresponding angles)
Angles in a triangle add up to 180:
Angles in ΔDAE=Angles in ΔABC
∠DAE+∠EDA+∠DEA=∠BCA+∠ABC+∠BAC
∠EDA+∠DEA=∠ABC+∠BAC (since ∠DAE=∠BCA, we can cancel them out)
∠DEA=∠BAC (∠EDA=∠ABC=90)
Answer:
X - Y = 3.0062,
X -Y = 69.973
Step-by-step explanation:
Given equation is
-1.7043x² + 124.38x - 358.51 = y
This equation can be written as
x² - 72.98x + 210.35
Or, x² - 69.973x - 3.0062x + 210.35
Or, x(x - 69.973) - 3.0062(x - 69.973)
So, (x - 69.973) (x - 3.0062)
Now this two factors are equal to y
∴ x - 69.973 = y and x - 3.0062 = y
Hence X - Y = 69.973 and X - Y = 3.0062 Answer
Alright so a Pythagorean triple means a^2 + b^2 = c^2. Using the numbers in the problem, 7^2 + 24^2 = 25^2. The same goes for 9^2 + 40^2 = 41^2.