Answer:
y=-2x+2
Step-by-step explanation:
Just follow the slope-intercept form formula-
Formula: y= mx+b
Key:
y = y-coordinate
m = slope
x = x-coordinate
b = y-intercept
Feel free to ask if you have any questions, hope this helps!(:
Answer:
a) x(x-2)
b) 6x(2x+2)
dont know c and d sorry
Step-by-step explanation:
180° because it is half of a full circle(360°)
Answer:
10cos(5x)sin(10x) = 5[sin (15x) + sin (5x)]
Step-by-step explanation:
In this question, we are tasked with writing the product as a sum.
To do this, we shall be using the sum to product formula below;
cosαsinβ = 1/2[ sin(α + β) - sin(α - β)]
From the question, we can say α= 5x and β= 10x
Plugging these values into the equation, we have
10cos(5x)sin(10x) = (10) × 1/2[sin (5x + 10x) - sin(5x - 10x)]
= 5[sin (15x) - sin (-5x)]
We apply odd identity i.e sin(-x) = -sinx
Thus applying same to sin(-5x)
sin(-5x) = -sin(5x)
Thus;
5[sin (15x) - sin (-5x)] = 5[sin (15x) -(-sin(5x))]
= 5[sin (15x) + sin (5x)]
Hence, 10cos(5x)sin(10x) = 5[sin (15x) + sin (5x)]
