Answer:
Step-by-step explanation:
sin x=a+b
cos x=a-b
sin²x+cos²x=(a+b)²+(a-b)²=2a²+2b²
or 2a²+2b²=1
a²+b²=1/2 which is constant for all values of x
(ii)

Answer: The numbers whose sum equals 12 and whose product and difference is largest is 6 and 6
Step-by-step explanation:
numbers whose sum is 12
Sum =12 Product Difference Product- Difference
11 +1 11 10 1
10 +2 20 8 12
9 +3 27 6 21
8 +4 32 4 28
7 +5 35 2 33
6+6 36 0 36
The numbers whose sum equals 12 and whose product and difference is largest is 6 and 6
Answer:
the second one for #4 and the third one for #5
Step-by-step explanation:
4. The sum of x and y is 24, so x+y = 24. The difference is 15, so x-y = 15, or
y-x=15 (they didn't specify which was which). Therefore, A, C, and D are correct, so x = 15-y is the answer (x = 15-y is the same as x+y = 15, which is false).
5.
Matt = 6 apple pies + 4 lemon pies and he got 80 dollars.
Ming = 6 apple pies + 5 lemon pies and he got 94 dollars.
If apple pie is "a" and lemon is "l":
6a + 4l = 80
6a + 5l = 94,
so C is the answer
Answer:
look on m a t h w a y
Step-by-step explanation:
Answer:
-13y+20
Step-by-step explanation: