Answer:
The discriminant is 16
Step-by-step explanation:
Answer:
x =
Step-by-step explanation:
in a 30-60-90 triangle the ratio of the side lengths is 1 : 2 :
to find the length of short leg, x, you can create this proportion:
x / 8 = 1 /
cross-multiply to get:
x = 8
x = 8 /
rationalize the denominator by multiplying numerator and denominator by
x =
Answer:
5039
Step-by-step explanation:
Since a <em>bijective function</em> of a set onto itself is nothing but a <em>permutation of S</em> and the set
S={-44, -43, -42, -41, -40, -39, -38}
has 7 elements, there are 7! = 5040 possible bijective functions of S onto itself.
But there is only one such that φ(x) = x
Hence, there are 5040-1 = 5039 bijective functions of S onto itself such that φ(x)≠x.
Answer:
5/8 * 7/2
Step-by-step explanation:
Whenever you divide fractions, you can use the 'keep change flip' method.
You keep 5/8, change the division sign to multiplication, and then flip the second fraction.
1. 5/8 / 7/2 - Keep 5/8
2. 5/8 * 7/2 - Change division sign
3. 5/8 * 2/7 - Flip the second fraction, 7/2 -> 2/7