B involves direct variation.
y and x are directly proportional.
Answer:
a ≥ 5
Step-by-step explanation:
the inequality symbol for at least is the greater than or equal to symbol because at least means that the number is as low as it goes.
so a is at least (≥) 5
Answer:
Step-by-step explanation:
The Pythagorean Theorem holds for both positions.
The first configuration is an 6-8-10 right triangle.
The second configuration using the Pythagorean Theorem:
10^2 = (8-2x)^2 + (6 + x)^2
100 = 64 - 32x + 4x^2 + 36 + 12x + x^2
100 = 100 - 20x + 5x^2
5x^2 - 20x = 0
5x(x - 4) = 0
x = 4 feet (we throw out the x = 0 solution as extraneous)
A matter of stating the ratios as fractions, setting the two fractions equal to each other, cross-multiplying
(4x - y)/(2y + x) when x = 3 and y = 3 is
(4(3) - 3)/(2(3) + 3) = (12 - 3)/(6 + 3) = 9/9 = 1