Answer:
1
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
2x + 4 = 8
subtract 4 from both sides
2x = 4
divide by 2
x = 2
Answer:
y+4 = 2(x+3)
Step-by-step explanation:
We have 2 points so we can find the slope
m = (y2-y1)/ (x2-x1)
= (2--4)/(0--3)
= (2+4)/(0+3)
= 6/3
= 2
We want to use the point slope form of the equation for a line
y-y1 = m(x-x1)
We know the slope =2 and the point (0,2)
y-2 = 2(x-0)
y-2 = 2x
We could also use the other point (-3,-4)
y--4 = 2(x--3)
y+4 = 2(x+3)
Answer:
First step=13x+7x=18+42
Step-by-step explanation:
13x-42=18-7x
First step
It is to collect like terms of the equation
13x+7x=18+42
20x=60
x=60/20
x=3
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)]
