Multiply each term by a^2b^2:-
b^2y^2 + a^2x^2 = a^2b^2
subtract a^2x^2 from both sides
b^2y^2 = a^2b^2 - a^2x^2
Now divide both sides by b^2
y^2 = a^2 - a^2x^2 / b^2 = a^2 (1 - x^2/b^2)
take positive square root ( because y > 0)
y = a sqrt(1 - x^2/b^2)
B and c, anything with an x^2 term is a quadratic.
Answer:
C
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
Here [ a, b ] = [ - 10, 10 ], thus
f(b) = f(10) = 10² + 9(10) + 18 = 100 + 90 + 18 = 208
f(a) = f(- 10) = (- 10)² + 9(- 10) + 18 = 100 - 90 + 18 = 28, thus
average rate of change = 
= 
= 9
Answer:
2 : 5
Step-by-step explanation:
2 days of the week begin with the letter T (Tuesday, Thursday).
5 days of the week do not begin with the letter T (Sunday, Monday, Wednesday, Friday, Saturday).
The ratio of those that do to those that do not is ...
(begin with T) : (do not begin with T)
2 : 5
Answer:
x = 2√5 and x = - 2√5
Step-by-step explanation:
x^2 = 20
x = 2√5 and x = - 2√5
