Answer:
The answer is 14 because it's the opposite of -14
Do you mind if I re-arrange it slightly before we solve it ?
You said 20x + 3.00y ≥ 500
Subtract 20x
from each side: 3.00 y ≥ -20x + 500
Divide each side by 3 : y ≥ -20/3 x + 500/3
Make it an equation,
and graph this line: y = -20/3 x + 500/3
The line is made out of all points where 'y' is EQUAL to
1/3 of (-20x + 500).
The inequality wants to see all the points that are equal to it
AND all the points that are greater than that.
So the graph of the inequality is the line AND every point that's
anywhere above the line. It's called the "half-infinite plane"
bounded by the line.
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
The only solution is (-3/2, 4)
read my attachment
I can assure you that it is A
