Answer:
5 km.
Step-by-step explanation:
We have to calculate the distance if we apply the speed formula that would be the distance in a given time:
v = d / t
therefore, if we solve for distance it would be:
d = v * t
Now the speed is 6 km / h but the time must be calculated, it leaves at 9:15 and returns at 10:05, that is, there is no exact time but 50 minutes, one hour equals 60 minutes, therefore:
50 min * 1 h / 60 min = 0.833 h, that is, the child took 0.833 hours to get to school, now if we replace:
d = 6 * 0.8333
d = 5
In other words, the distance between the school and the house is 5 km.
Answer: y=-3/4x-2
Step-by-step explanation:
Write an equation of a line in slope-intercept from with the given slope, slope:–3/4, y-intercept: –2
The y-intercept is at (0,-2)
Then we write the equation using y=mx+b becuase that is the point slope form.
m=-3/4 which was given in the question
because y-intercept is at (0,-2)
y=-2
x=0
-2=-3/4(0)+b
-2=0+b
-2=b
now we know that m is -3/4 and b is -2
Hence the equation is y=-3/4x-2
Hence, there is 5 gallons of fuel Roselyn needed for her journey.
Answer:
The distance between the points is approximately 6.4
Step-by-step explanation:
The given coordinates of the points are;
(2, -2), and (6, 3)
The distance between two points, 'A', and 'B', on the coordinate plane given their coordinates, (x₁, y₁), and (x₂, y₂) can be found using following formula;
Substituting the known 'x', and 'y', values for the coordinates of the points, we have;
Therefore, the distance between the points, (2, -2), and (6, 3) = √(41) ≈ 6.4.
