Which function is most likely graphed on the coordinate plane below? What is the equation of the line perpendicular to 2x – 3y =
1 answer:
Answer:
Step-by-step explanation:
the equation of the line perpendicular to 2x – 3y = 13
It passes through the point (–6, 5)
Subtract 2x from both sides
Divide both sides by -3
Slope = 2/3
Slope of perpendicular lines are negative reciprocal of one another
slope of perpendicular line is
Point (-6,5)
Add 5 on both sides
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Answer: $19.6
Step-by-step explanation:
Linear function: f(x)=mx+c
, where m= rate of change in f(x) with respect to x.
c = Initial value.
Let c = Initial value of card , m= Charge per minute
x= Number of minutes calling time.
Then, 25.06= 38m+c (i)
21.03=69m+c (ii)
Eliminate (ii) from (i)
Put m in (i) , we get
i.e. f(x)=-0.13x+30
if x=80 then
f(80)= -0.13(80)+30
=-10.4+30
=19.6
Hence, the remaining credit after 80 minutes of calls = $19.6
Answer:
Step-by-step explanation:
Perpendicular means that the slopes of the "old" line and the "new" line are opposite reciprocals; bisector means that the "new" line goes directly through the center of the "old" line. This perpendicular bisector, then, will go directly through the center of the "old" line, cutting it directly in half and leaving in its wake a 90 degree angle. To write this equation, then, of the perpendicular bisector, we need the slope of the old line and the midpoint of the old line. Let's work on the midpoint first:
So the "new" line will go through this point.
Onto the slope:
so the slope is
m = -4. That means that the perpendicular slope is
Now we're ready to write the equation:
and
and finally,
Answer:
The surface area of ball is 400π sq.cm
