First of all, we need to put the first two numbers into fraction form:
{-3/1, 2/1, -4/3, 8/9, -16/27}
You can see there is a pattern to these numbers, and the pattern is that each number is multiplied by -2/3 to give the following number (-3*(-2/3) = 2; 2*(-2/3)=-4/3, and so on).
This means that this is a geometric sequence.
<h2>Hello!</h2>
The answer is:
The rewritten expression is:
<h2>Why?</h2>
To solve this problem we need to use the trigonometric identity of the double angle for the cosine which states that:
Also, if we want to rewrite only with terms of cos(x) and sin(x), we can apply the following property:
So, rewriting the trigonometric equation, we have:
Then, we are given the expression:
Now, rewriting the given expression with only sin(x) and cos(x), we have:
Hence, the answer is:
Have a nice day!
Answer:
56 feet
Step-by-step explanation:
perimeter is the sum of all sides
as in this case
244 ft = 2 lengths + 2 width
244 ft = 2 × 66 ft + 2 width
244 ft = 132 ft + 2 width
244- 132 = 2 width
2 width = 112
width = 112÷2
= 56 feet.
Answer:
x = 133 x = -7
Step-by-step explanation:
| x/7 - 9| = 10
There are two solutions, one positive and one negative
x/7 - 9 = 10 x/7 - 9 = -10
Add to to each side
x/7 - 9+9 = 10+9 x/7 - 9+9 = -10+9
x/7 = 19 x/7 = -1
Multiply each side by 7
x/7 *7 = 19 *7 x/7*7 = -1*7
x = 133 x = -7