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
25×10=250 length then 51,000÷250 I do division different. hope this helps
Step-by-step explanation:
I think 360-175 iam not sure
The answer is the product of their slope is -1.
First, let's break this down. Perpendicular lines are line with opposite reciprocal slopes. Opposite meaning the inverse sign and reciprocal meaning flipped.
For instance,
If a line had the slope of 5, its inverse would have a slope of -1/5.
Now, if we multiply these numbers together,
5 * -1/5 = -1
The 5's cancel out.
This works for any two perpendicular lines
12 men : 8 hours : 10 days
// Find if every man works 1 hour
12 x 8 men : 1 hour : 10 days
96 men : 1 hour : 10 days
//Find if every man works 15 hours
96 ÷ 15 men : 15 hours : 10 days
6.4 men : 15 hours : 10 days
//Find if every man works 1 day
6.4 x 10 men : 15 hours : 1 day
64 men : 15 hours : 1 day
//Find if every man works 8 days
64 ÷ 8 men : 15 hours : 8 days
8 men : 15 hours : 8 days
Answer: 8 men is needed
