For lines to be perpendicular their slopes must be negative reciprocals of one another, mathematically:
m1*m2=-1, and in this case:
-m/4=-1
-m=-4
m=4, so the slope of the perpendicular line is 4 so we have thus far:
y=4x+b, using point (-4,3) we can solve for the y-intercept, "b"
3=4(-4)+b
3=-16+b
19=b, so our line is:
y=4x+19
We know that
in a right triangle
Applying the Pythagoras Theorem
c²=a²+b²
in this problem
c=√87 yd
a=√23 yd
b=?
so
b²=c²-a²-----> b²=(√87)²-(√23)²----> b²=87-23----> b²=64----> b=8 yd
the answer is
8 yd
Answer:
The average speed was about 6,000 kilometers (or 3,200-3,700 miles)
Step-by-step explanation:
hope this helps!
Let's use q to represent the number of quarts needed.
you would have the following:
2q= 107-19
2q=88
q=44
44 is the number of quarts in a in the barn.
Now you have to divide that number by 4 to get gallons because there is 4 quarts in a gallon.
There are 11 gallons of paint.
Since 6x6 equals 36, then 6² would be the exponent because 6² is the same as 6x6
