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:
The answer is D
Step-by-step explanation:
Answer:
6 feetand 8 feet wide
Step-by-step explanation:
Answer:
28π
Step-by-step explanation:
A =2πrh+2π![r^{2}](https://tex.z-dn.net/?f=r%5E%7B2%7D)
r=
ft = 2
h= 5ft
A = 2π (2* 5 )+ 2π(2*2)
A= 2π (10)+2π (4)
A= 20π + 8π
= 28π
Percent increase=increase/original converted to percent
increase=new-original=2.35-2.10=0.25
percent increase=0.25/2.10=0.11904=11.9%