When the family arrived in New Delhi from Rome, the youngest son asked the pilot how fast he was flying the plane. The pilot tol
1 answer:
Answer:
7 hours
Step-by-step explanation:
It is given that the plane was flying at 847 km/hour. So the speed of the plane was 847 kilometers per hour.
It is also given that the distance between Rome and New Delhi is 5,929 kilometers.
We know that the distance is equal to the product of speed and time, so we have,
, where 'd' represents the distance, 's' represents the speed, and 't' represents the time.
Putting the values we get,
Solving for 't' we get,
So the time taken to fly from Rome to New Delhi is 7 hours.
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The equation in slope-intercept form for the line that passes through the point ( -1 , -2 ) and is perpendicular to the line − 4 x − 3 y = − 5 is
<em><u>Solution:</u></em>
<em><u>The slope intercept form is given as:</u></em>
y = mx + c ----- eqn 1
Where "m" is the slope of line and "c" is the y - intercept
Given that the line that passes through the point ( -1 , -2 ) and is perpendicular to the line − 4 x − 3 y = − 5
Given line is perpendicular to − 4 x − 3 y = − 5
− 4 x − 3 y = − 5
-3y = 4x - 5
3y = -4x + 5
On comparing the above equation with eqn 1, we get,
We know that product of slope of a line and slope of line perpendicular to it is -1
Given point is (-1, -2)
Now we have to find the equation of line passing through (-1, -2) with slope
Substitute (x, y) = (-1, -2) and m = 3/4 in eqn 1
Thus the required equation of line is found
We know:
and
These expressions have an term in common. We can combine them if we can find forms of the expressions in terms of
:
Now, because (by the reflexive property), we can write:
This is our answer, A.