<em>The standard equation of hyperbola is </em>
.
<em /><em>Where a is vertices and b are co-vertices.
</em>So, equation come in forth is
Answer:
1st: No
2nd:Yes
3rd:No
4th:Yes
Step-by-step explanation:
I divided
If is the n-th term in the sequence, observe that
and if the pattern continues,
so the sequence is defined recursively by
By this definition,
and so on. Then by substitution, we have
and if we keep doing this we'll eventually get in terms of to be
Evaluate the sum:
Let
Then
Recall that
so that
and
So, we find
Then the n-th term to the sequence is
Answer:
Below in bold.
Step-by-step explanation:
The identity is of the form
(a + b)^2 = a^2 + 2ab + b^2.
a) Sqrt 49 = 7 and we need + 28 as the middle coefficient . We get this with
2*7 + 2*7 so the first coefficient is 2*2 = 4.
So * = 4a^2.
(2a + 7)^2 = (2a + 7)(2a + 7) = 4x^2 + 14a + 14a + 49.
b) -6 * -6 = 36 -24 = 2*-6 + 2 *-6 so the last term is 4x^2
c) The middle term must be an 'ab' term.
sqrt 6.25 = 2.5 and sqrt 1/4 = 1/2
So the coefficient of the middle term is 2.5 * 1/2 + 2.5 * 1/2
= 2.5
So the middle term is 2.5ab.
d) The first term will be in b^2.
100 = 10* 10 and we need 2 as a middle term so coefficient of the first term
will be 1/100 or 0.01. as the 2 comes from 0.1 * 10 + 0.01 * 10 and (0.1)^2 = 0.01
So it is 0.01b^2.
The sin value = sin(arctan(7/-5)) = (-7/5)/sqrt(1 + (-7/5)^2) = (-7/5)/sqrt(1 + 49/25) = (-7/5)/(1/5)sqrt(25 + 49) = -7/sqrt(74) = -7sqrt(74) / 74
Therefore, the sine value of the function is <span>negative 7 square root 74 divided by 74</span>