Answer:
value: 30
Step-by-step explanation:
Hey there! :)
Answer:
Domain: (-∞, ∞)
Range: [-1, ∞)
Step-by-step explanation:
This is an absolute-value function. (Graphed below) The vertex is at (-3, -1) which consists of the minimum y-value of the function. Therefore:
Domain: (-∞, ∞)
Range: [-1, ∞)
Answer:
5
Step-by-step explanation:
10 - 5 = 5
Answer:
The dimensions of the original rectangle are Length =12cm, Width=8cm
Step-by-step explanation:
Let the length of the rectangle be x
Let the width of the rectangle be y
The perimeter of a rectangle is 40cm.
2(x+y)=40
Divide both sides by 2
x+y=20
If the length were doubled(2x) and the width halved(y/2), the perimeter would be increased by 16cm,i.e.(40+16)cm
Therefore:
Divide both sides by 2
From the first equation, x=20-y.
Substitute x=20-y into
Answer:
= -cot5x
Step-by-step explanation:
sin7x - sin3x = sin(5x + 2x) - sin(5x - 2x)
= [sin5x cos2x + cos5x sin2x] - [sin5x cos2x - cos5x sin2x]
= 2 cos5x sin2x
cos7x - cos3x = cos(5x + 2x) - cos(5x - 2x)
= [cos5x cos2x - sin5x sin2x ] - [cos5x cos2x + sin5x sin2x]
= -2 sin5x sin2x
so
(sin7x - sin3x)/(cos7x - cos3x)
= -cos5x/sin5x = -cot5x