Step-by-step explanation:
It takes Mr. Martin 12 minutes to drive his bus route without stopping to pick up any passengers. For each passenger stop, he es
1 answer:
It is given that Mr Martin takes 12 minutes to drive his bus route without stopping on any of the stops.
On Tuesday, it took him 14 minutes when he stooped to take the passengers. He estimated that it takes 30 sec for each stop.
60 second = 1 minute.
30 second = 0.5 minutes.
Let us assume, there were x stops.
Since it takes him 12 minutes without stopping, 12 minutes here acts as a fixed time.
Total time is given by the equation
.... (1)
where t is the total time and x is the number of passengers.
To find the number of passengers, solve equation (1) for x ,
.... (2)
Plug y= 14 into equation number (2) gives 4 stops.
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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
Answer:
Step-by-step explanation:
GIVEN: A square with base , a circle that perfectly fits inside square.
TO FIND: Approximate area of circle.
SOLUTION:
Consider the figure attached.
let the radius of circle be
radius of circle
Area of circle
Hence the area of circle that perfectly fits inside the square is
