Answer:
The slope of the line with points A(-2, -7) and B(3,5) is m = (12/5).
Step-by-step explanation:
The two pints are given as A(-2, -7) and B(3,5)
Slope of a line with points (a,b) and (c,d) is given as
So, here the slope of line AB is
or, m = 12/5
Hence, the slope of the line with points A(-2, -7) and B(3,5) is (12/5).
Answer:
Area of this parallelogram: 35.
Step-by-step explanation:
What's the equation for the area A of a parallelogram?
A = b · h,
where
Plot the four vertices on a cartesian plane. Two opposite sides of this parallelogram are parallel to the x-axis. As a result, the length of the base is the same as the difference in x-coordinates between two vertices on that side. As seen on the diagram, the length of this base is b = 2 - (-5) = 7.
The height on either of those two sides will be normal to the x-axis and parallel to the y-axis. The length of those heights will be the same as the difference in y-coordinates between two vertices, one on each line. As seen on the diagram, the length of the height on base <em>b</em> is h = 4 - (-1) = 5.
Area of this parallelogram:
A = b · h = 5 × 7 = 35.
Answer:
The trip took total of 5 hrs out of which 3 hrs took for going to the trip and 2 hours for returning from the trip.
Step-by-step explanation:
Given:
Speed to the cabin = 40 km/h
Speed on return trip = 60 km/h
Time for return trip = 2 hrs.
We need to find the time for total trip.
Solution:
First we will find the Distance of the trip.
Now we know that Distance is equal to Speed times Time.
Now we can say that;
Distance of return trip =
Now we can say that Distance of return trip will equal to Distance to the trip.
Now we will find the time required to travel the trip.
time required to travel the trip can be calculated by dividing distance from the speed.
framing in equation form we get;
time required to travel the trip =
Total time is equal to time took to travel the trip and Time took for return trip.
framing in equation form we get;
Total time = 3 + 2 = 5 hrs
Hence The trip took total of 5 hrs out of which 3 hrs took for going to the trip and 2 hours for returning from the trip.