what is the point slop equation of the line through the points (-5,5) that is perpendicular to the line whose equation is 5x=3y
2 answers:
Answer:
y - 5 = - (x + 5)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Given
5x = 3y , that is
3y = 5x ( divide both sides by 3 )
y = x ← in slope- intercept form
with slope m =
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= -
and (a, b) = (- 5, 5), then
y - 5 = - (x - (- 5) ), that is
y - 5 = - (x + 5) ← equation of perpendicular line
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Answer:
6.377 gallons of gasoline are needed for the 3h trip.
Step-by-step explanation:
This problem can be solved by consecutive direct rule of three's.
A rule of three is called direct when the relationship between both measures is direct. It means that as the value one of measures increases, so will the alue of the other measure.
The first step is to know how much the car traveled.
The trip was 3-h long, and the car traveled at 55 mi and hour. So:
1 hour - 55mi
3 hour - x mi
x = 55*3
x = 165 miles
The car traveled 165 miles.
Then we need to know how many kilometers the car traveled.
Each mile has 1.61km, so:
1 mile - 1.61km
165 miles - x km
x = 165*1.61
x = 265.5 km
The car traveled 265.5 km
Now we need to know how many liters the car used
For each liter used, the car can travel 11 km, so:
1L - 11km
xL - 265.5 km
11x = 265.5
x = 24.14L
The car used 24.14L
The final step is converting from L to gallons.
Each liter has 0.264 gallons, so:
1L - 0.264 gallons
24.14L - x gallons
x = 0.264*24.14
x = 6.377 gallons
6.377 gallons of gasoline are needed for the 3h trip.
Answer:
Step-by-step explanation:
a²+b²=c²
a²+9²=11²
a²+81=121
a²=40
a=6.32