The equation of any straight line, called a linear equation, can be written as: y= mx+b, where my is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the lone crosses the y axis.
Answer:
The answer is
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Step-by-step explanation:
The distance between two points can be found by using the formula
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where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-7,-2) and (11,3)
The distance between the points is
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We have the final answer as
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Hope this helps you
Answer:
1031 Meters
Step-by-step explanation:
You would use the Pythagorean Theorem to solve it which would be a^2 + b^2 = c^2 and a would be 800 and b would be 650 in this circumstance you would try to find C which would be glenn blvd.
The area of a polygon is given by the formula Area = ap/2 where a is the length of the apothem and p is the perimeter. The apothem is a line from the center of the polygon perpendicular to a side.
Depending on the formula you know, you can find the length of a side in 1 of 2 ways.
The first way uses a triangle. Using the radius of the polygon you can create 8 congruent triangles. The center angle will be 360 / 8 = 45 and two side lengths of 20. You can find the length of the base using the law of cosines.
c^2 = 20^2 + 20^2 - 2(20)(20)(cos 45)
c^2 = 400 + 400 - 800(cos 45)
c^2 = 800 - 800(cos 45)
c = sqrt(800 - 800(cos 45)
c = 15.31
The second way is to use this formula:
r = s / (2 sin(180 / n))
20 = s / (2 sin(180/8)
(20)(2)sin(22.5) = s
(40)sin(22.5) = s
s = 15.31
We need to calculate the perimeter. As there are 8 sides (8)(15.31) = 122.48
Now we need to calculate the apothem using
a = S / (2 tan (180 / n)
a = 15.31 / (2 tan (180 / 8))
a = 18.48
Now solve for the area
Area = ap/2
Area = (18.48)(122.48)/2
Area = 1131.72
perimeter = 122.48
area = 1131.72
4(p - 7) = 44
First distribute the 4 over the parentheses
4p - 28 = 44
Add 28 to both sides:-
4p = 44 + 28
4p = 72
Divide both sides by 4:-
p = 72/4
p = 18 (answer)
