For lines to be perpendicular their slopes must be negative reciprocals of one another, mathematically:
m1*m2=-1
So we first need to find the slope of the reference line.
m=(y2-y1)/(x2-x1)=(7-2)/(-1--5)=5/4
So the perpendicular line will have a slope of:
5m/4=-1
m=-4/5
So our perpendicular line so far is:
y=-4x/5+b, now we can use point (3,-1) to solve for the y-intercept, "b"
-1=-4(3)/5+b
-1=-12/5+b
-5/5+12/5=b
7/5=b
So the line is:
y=-4x/5+7/5 or more neatly
y=(-4x+7)/5
y=-0.8x+1.4
Answer:
The area that was not painted is
Step-by-step explanation:
step 1
Find the area of the rectangle
we know that
The area of a rectangle is equal to
In this problem we have
substitute
step 2
Find the area that was painted
step 3
Find the area that was not painted
Subtract the area that was painted from the total area of rectangle
so
The answer for this proportion is 50.
156.25 times 16 =2,500
2,500 divided by 50=50
X=50