Sinxcos y = 1/2(sin(x + y) + cos(x - y)) true or false

False

sin x cos y (sin (x + y) + cos (x - y))

Step-by-step explanation:

Given

To verify  that the equality is true or false

 and

Now adding the above equations we get

Comparing  the equations (1) and (2) we get

Therefore the given equality is not true (ie, false)

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.