Answer:
or choose any line with slope 1/4
Step-by-step explanation:
The slope of this line is -4. The slope of the line perpendicular to this line will be the negative reciprocal or 1/4.
Write the equation using the slope m=1/4 and the point slope form.
This is the equation of the line that is perpendicular and passes through the same point (-2,3) as the equation listed.
Answer:
where can be any number.
Step-by-step explanation:
First we need to clear for y:
and now we have an equation of the form:
where m is the slope and b is the y-intercept.
in this case and
to find and equation perpendicular to this line, the following must be true:
where m is the slope of the original line that i just mentioned, and is the slope of the new line. Substituting
clearing for
thus, the new perpendicular line must have the form:
where the y-intecept can be any number, some examples are:
and so on, the important thing to be a perpendicular line is that the slopes are related to the equation .
Answer:
Length of side a = 4.30 miles
Incomplete question:
The area of the regular polygon is 48 mi2. What is the length of side a? miles
Step-by-step explanation:
The number of sides of sides of the polygon is not given, so we will assume the polygon is an hexagon as shown in the attached image;
Given;
Area = 48 mi^2
Area of an hexagon using side a can be written as;
A = (3/2)√3×a^2
Making a the subject of formula
a = √(2/3√3 ×A)
Substituting the values
a = √(2/3√3 ×48)
a = √(32/√3)
a = 4.30 miles
To find the Length of Polygon Sides ('a') of a square polygon with an area of 48 mi², we apply the formula a = √Area. This gives a = √48 miles. This formula applies specifically to squares.
Given the area of the polygon is 48 square miles, to find the length of a side, we would first need to know the type of polygon.
For instance, if it's a square, the area is calculated by squaring one of its sides (Area = side²).
Here, to find the side length ('a'), we take the square root of the area. So, a = √Area.
Applying this to the given area, a = √48 miles.
However, please note that this formula is for a square.
Other polygons have different formulas for calculating such dimensions.
Learn more about Length of Polygon Sides here:
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