Answer:
That would be sina.
Step-by-step explanation:
sin(a+b) = sinacosb + cosasinb
sin(a-b) = sinacosb - cosasinb
Adding we get sin(a+b) + sin(a-b) = 2sinaccosb
so sinacosb = 1/2sin(a+b) + sin(a-b)
Answer:
D = { -4,-1,3,5,6}
Step-by-step explanation:
The domain is the x values or the inputs
D = { 3,6,-1,5,-4}
We normally put them in order from smallest to largest
D = { -4,-1,3,5,6}
-3x-2.5=y would be an equivalent to that equation
Answer:
A, C, E
Step-by-step explanation:
From the table you can see that the water depth cahnges

for every
of snow (option B is false).
This means that the function modelling this situation is linear function (option A is true and option D is false). Let the equation of this function be
Then

Subtract these two equations:

Hence,

The equation of the straight line (the graph of linear function) is
(option E is true) This line passes through the point (0,0), because its coordinates satisfy the equation (option C is true).
Answer:
x > 36 in
Step-by-step explanation:
Let x = the width of the picture frame.
Then x + 6 = the length of the frame.
The formula for the perimeter P of a rectangle is'
P = 2l + 2w.
So, the condition is
2l + 2w > 156
2(x + 6) + 2x > 156 Distribute the 2
2x + 12 + 2x > 156 Combine like terms
4x + 12 > 156 Subtract 12 from each side
4x > 144 Divide each side by 4
x > 36
The perimeter of the picture frame will be greater than 156 in if x > 36 in.