Let a, ß be the roots of x² + 2ax + b =0.......[1]
⇒a + ß = -2a and aß = b
By hypothesis
la-ß | ≤ 2m
⇒ (a-ß)² ≤ 4m²
⇒ (a+ß)²-4aß < 4m²
⇒ 4a²-4b ≤ 4m²
⇒a² - b ≤ m²......(2)
And discriminant of (1) is >0
⇒4a²-4b> 0
⇒ b <a²...... (3)
From (2) and (3)
a² > b≥ (a² - m²)
b = [a² - m², a²)
This seems to be a reflection over the 'y' axis. Notice that the 'x' coordinates of points U and V are x =2 in the original figure, and then, 'x' coordinates of U' and V' are x = -2
All 'y' coordinates for the transformated figure (S'T'U'V'W') are the same that the original figure (STUVW), but the 'x' coordinates are exactly the opposite
This transformation is :
Answer:
10500
Step-by-step explanation:
The answer to the question is Robert grew 1 2/3 inch taller that his brother
Area of a circle is simple pi*r^2=A so rewriting the equation to solve for r^2 leads to r^2 = A/pi so plugging in numbers 682 for A and pi is just pi you get 682square meters/pi = r^2