Write out the sum formula for sin
<span>sin(x + y) = sinxcos + sinycosx </span>
<span>Then expand sin(a + b) + sin(a - b) </span>
<span>sinacosb + sinbcosa + sinacosb - sinbcosa </span>
<span>The 2nd and 4th terms cancel and you get </span>
<span>2sinacosb</span>
9514 1404 393
Answer:
(x, y) = (3, 12)
Step-by-step explanation:
Using the given variable definitions, we can write the equations ...
y = x + 9
2(x +y) = 30
__
Solving the second equation for y, we have ...
y = 15 -x
Substituting this into the first equation gives ...
15 -x = x +9
6 = 2x . . . . . . . . . add x-9
3 = x . . . . . . . . . . divide by 2
y = 3+9 = 12 . . . . substitute into the first equation
The numbers are (x, y) = (3, 12).
It would be 60. He sold his painting for 50 which was 10 less that the original price. So 50+10=60
Answer:
a > 8
Step-by-step explanation:
Divide by the coefficient of the variable. Since it is negative, the direction of the comparison must be reversed.
(-4a)/(-4) > (-32)/(-4)
a > 8
Answer:
y = mx + b. When b ≠ 0, the relationship between x and y is nonproportional.