Step-by-step explanation:
E3, E6, E11, E7: no solution
E1, E12 : 1 solution
E2, E8, E10 : infinite solutions
For the square to fit inside the circle without touching it, the diagonal of the square needs to be less than the diameter of the circle.
Using the Pythagorean theorem we can calculate the diagonal of the square:
X = SQRT(5^2 + 5^2)
X = SQRT(25 + 25)
X = SQRT(50)
X = 7.07
The diagonal of the square is 7.07 cm, which is less than the diameter of the circle, 9cm, so it will fit .
Answer:
B is the correct answer.
Step-by-step explanation:
12xy - 36xz
12 and x are common factors.
12x(y - 3z)
Hope it helps.
Y = x^2 cos x
y' = x^2 * -sin x + cos x * 2x
= 2x cos x - x^2 sin x
= x ( 2 cos x - x sin x)
