Answer: Should be (4,0)
Step-by-step explanation:
You have the following expression:
To verify the identity, you have that the left side of the equation becomes:
(1 + cosx)(1 - cosx) = (1 - cos^2 x)
because of the product of an expression by its conjugate result in a difference of squares. Or simplfy by expanding the factors and simplying.
Next, you have:
1 - cos^2 x = sin^2 x
because the Pythagorean identity.
Then, the identity is verified.
I don't know how to solve this without knowing the a, b, n, and x values, unless you are just telling us to simplify it
Answer:
49x + 114
Step-by-step explanation:
[ [ fireplace ] x = area of 5
] x + 6
5x
patio = area of 5 + 49x + 114
5x + 19
(5x + 19) ( x + 6) = 5 + 19x + 30x + 114
(5 + 49x + 114) - (5 ) = 49x + 114
(area of patio and fireplace) - (area of fireplace) = (area of patio only)
16
Explanation:
Okay so Jack started with 50 chocolates, and ended with 2.
The simple way to calculate it would be by realising that Jack only distributed 48 chocolates. We can find how many times 3 fits into 48 by dividing <span>48÷3=16</span>.
Using algebra, we substitute the value we want to find with x. Here what we want to find is the number of friends that were at Jack's party.
We know that he started with 50 chocolates, then distributed <span>3×</span> the number of friends present (which is x).
We write that down as <span>50−3x</span>
(It's minus because when chocolates are distributed, Jack is taking away from what he has.)
We know that after this, there were only 2 chocolates left, so it's
<span>50−3x=2</span>
Then we proceed by moving all the numbers to the right until only x is left:
<span>−3x=2−50</span>
<span>−3x=−48</span>
<span>x=<span><span>−48</span><span>−3</span></span></span>
<span>x=16</span>
Conclusion: The number of people that attended the party was 16
