Answer:
Step-by-step explanation:
Given the equation
4x+12y=72
The equation of a line can written as
y=mx+c
Where m is the slope
And c is the intercept on y axis
Then, we need to write the equation given in the form of equation of a line (y=mx+c), by making y subject of the formula
4x+12y=72
12y=-4x+72
Divide through by 12
y=-4x/12 + 72/12
y=-⅓x+6
Then, comparing with equation of a line shows that
m=-⅓ and c=6
So we need to get another linen that is perpendicular to this line and passes through the point (-9,6)
The slope of the line perpendicular to another line is given as
m1=-1/m2
Then, m1=-1÷-⅓
Then, the slope of the perpendicular line is 3
Then, m=3
So apply this to equation of the line
y=mx+c
Then, y=3x+c
So to know c, we will insert the point given(-9,6), x=-9 and y=6
y=3x+c
6=3(-9)+c
6=-27+c
Then, c=6+27
c=33
Then, the equation of line becomes
y=3x+33
Answer:
Units of Capacity (Volume)
The basic unit of volume or capacity is the litre. The most commonly used units in cooking are the litre and the millilitre.
Answer:
P₀ = 206 and difference d = 6
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the arithmetic sequence
206,212,218,224,.....
P₀ = 206 and difference d = 212-206 = 6
The 
term of the sequence
<u><em>Step(ii):-</em></u>
The term of the sequence
Put n=20
12.74 is the answer to the question
