Answer:
Step-by-step explanation:instead, try making the subscripts and superscripts stand out:
n-1
a = a * r
n n-1
Believe me, it's worth the extra work to do this!!
Given the sequence -3, -6, -12, -24, you can easily see that the first term,
a is -3. The common factor is 2. Note how (-3)*2=-6, and so on.
1
So, a = -3 and r=2.
1
So the formula for this geometric sequence is
n-1
a = -3*2
n
Hi there!
We are given:
cos(7x)cos(4x) = -1 - sin(7x)sin(4x)
Begin by moving all terms with variables to one side:
cos(7x)cos(4x) + sin(7x)sin(4x) = -1
The corresponding trig identity is cos(A - B). Thus:
cos(7x - 4x) = cos(7x)cos(4x) + sin(7x)sin(4x) = -1
cos(3x) = -1
cos = -1 at π, so:
3x = π
x = π/3
We can also find another solution. Let 3π = -1:
3x = 3π
x = π
Thus, solutions on [0, 2π) are π/3 and π.
The answer is 13.
STEPS:
√ (3 - 8)^2 + (8 - (-4) )^2
√ (-5)^2 + (12)^2
√ 25 + 144
√ 139
13
Answer:
Yes. Plug in your x and y into the first given equation and you'll see why.
(7) ≥ -(2)+1
7 ≥ -1 (7 is greater than or equal to -1)
...As well as the second equation.
(7) < 4(2)+2
7 < 8+2
7 < 10 (7 is less than 10)
Step-by-step explanation:
Answer:
It is not always possible to construct a triangle from a given side length and two angles. If the two given angles add to more than 180°, the sides of the triangle will diverge and never meet.
Step-by-step explanation:
