Answer:
The equation of the straight line is 4x +y = 1
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given points are (-1,5) and ( 2,-7)
Slope of the line
slope of the line m = -4
<u><em>Step(ii):-</em></u>
The equation of the straight line passing through the point (-1,5) and having slope 'm' = -4
y - 5 = -4 ( x-(-1))
y -5 = -4 x -4
4 x + y -5 +4=0
4x +y -1 =0
<u><em>Final answer:-</em></u>
The equation of the straight line is 4x +y = 1
<u><em> </em></u>
Answer:
The actual area of the town is 14 miles.
Step-by-step explanation:
Since you know that the scale is 1 inch:4 miles and that the map shows a town with an area of 3.5 inches, you can expressed this as follows:
Scale: 1 inch:4 miles
map area: 3.5 inches
If the actual area is x, you can say that:
3.5:x=1:4
This would be:
Now, you can solve for x:
x=(3.5*4)/1
x=14
According to this, the answer is that the actual area of the town is 14 miles.
The calculated areas of both are the same instead of using the different formulas that are 43. 5 squared unit.
<h3>What is the area of a regular polygon?</h3>The area of the polygon is the product of half of the apothem of the triangle and perimeter.
The area of the polygon =
The side of the triangle is 10 units.
Apothem of an equilateral triangle
s=
s = 2.88
Here, a is the side of the triangle.
Thus the apothem of the triangle is 2.9 units.
The perimeter of the equilateral triangle is equal to the three times the sides.
Perimeter of the equilateral triangle ,
P = 3(10)
P = 30
Therefore, the perimeter of the equilateral triangle is 30 units.
The area of the equilateral triangle-
The area of the polygon =
A =
A = 43.5
Thus the area of the equilateral triangle is 43.5 squared units.
Therefore, The calculated areas of both are the same instead of using the different formulas.
Learn more about the apothem;