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A city has two main roads meeting at center. These two roads are along the north-south direction and east-weast direction. All other streets of the city run parallel to main road and are 300m apart. There are about 40 street in each direction. There are many cross streets in your model. A particular cross street is made by two streets. one running in the north-south and another in the east-weast direction. 1.Which mathematical concept is used to solve the problem?
Most Upvoted Answer
A city has two main roads meeting at center. These two roads are along...
Mathematical Concept Used


The mathematical concept used to solve this problem is Coordinate Geometry.

Explanation


Coordinate Geometry is a branch of mathematics that deals with the study of geometric figures using coordinates. It involves the use of algebraic equations to describe the properties of geometric shapes, such as lines, curves, and surfaces.

In this problem, we can use Coordinate Geometry to determine the location of the cross streets in the city. We can assign coordinates to the intersection of the two main roads, with the north-south road representing the y-axis and the east-west road representing the x-axis.

We can then use the equation for a line to determine the location of each cross street. For example, if we want to find the location of a cross street that is 600 meters north and 900 meters east of the intersection of the two main roads, we can use the equation:

y = mx + b

where m is the slope of the line and b is the y-intercept. In this case, the slope m is 300/300 = 1, since the streets are 300 meters apart in both directions. The y-intercept b is the y-coordinate of the intersection of the two main roads, which we have assigned a value of 0.

So the equation for the line passing through the intersection and the point (900, 600) is:

y = x + 0

which simplifies to:

y = x

This means that the cross street is located at the point (900, 600), which is 900 meters east and 600 meters north of the intersection.

By using this method, we can determine the location of any cross street in the city, given its distance from the intersection of the two main roads.
Community Answer
A city has two main roads meeting at center. These two roads are along...
We use co-ordinate geometry to solve this problem
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A city has two main roads meeting at center. These two roads are along the north-south direction and east-weast direction. All other streets of the city run parallel to main road and are 300m apart. There are about 40 street in each direction. There are many cross streets in your model. A particular cross street is made by two streets. one running in the north-south and another in the east-weast direction. 1.Which mathematical concept is used to solve the problem?
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A city has two main roads meeting at center. These two roads are along the north-south direction and east-weast direction. All other streets of the city run parallel to main road and are 300m apart. There are about 40 street in each direction. There are many cross streets in your model. A particular cross street is made by two streets. one running in the north-south and another in the east-weast direction. 1.Which mathematical concept is used to solve the problem? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A city has two main roads meeting at center. These two roads are along the north-south direction and east-weast direction. All other streets of the city run parallel to main road and are 300m apart. There are about 40 street in each direction. There are many cross streets in your model. A particular cross street is made by two streets. one running in the north-south and another in the east-weast direction. 1.Which mathematical concept is used to solve the problem? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A city has two main roads meeting at center. These two roads are along the north-south direction and east-weast direction. All other streets of the city run parallel to main road and are 300m apart. There are about 40 street in each direction. There are many cross streets in your model. A particular cross street is made by two streets. one running in the north-south and another in the east-weast direction. 1.Which mathematical concept is used to solve the problem?.
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