Circle P is tangent to the x-axis and the y-axis. If the coordinates of the center are (r, r), find the equation of the line con
1 answer:
Answer:
Step-by-step explanation:
we know that
The tangency point on the x-axis is (r,0)
The tangency point on the y-axis is (0,r)
Find the slope of the line containing the points of tangency
Remember that the equation of the line into slope intercept form is equal to
where
m is the slope
b is the y-coordinate of the y-intercept
In this problem we have
substitute
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Answer:
<em>Fencing required = 1586 m</em>
Step-by-step explanation:
The given statements can be thought of a triangle as shown in the diagram attached.
A be the 1st vertex, B be the 2nd vertex and C be the 3rd vertex.
Distance between 1st and 2nd vertex, AB = 435 m
Distance between 2nd and 3rd vertex, AC = 656 m
To find:
Fencing required for the triangular field.
Solution:
Here, we know two sides of a triangle and the angle between them.
To find the fencing or perimeter of the triangle, we need the third side.
Let us use <em>Cosine Rule </em>to find the third side.
Formula for cosine rule:
Where
a is the side opposite to
b is the side opposite to
c is the side opposite to
Perimeter of the triangle = Sum of three sides = AB + BC + AC
Perimeter of the triangle = 435 + 495 + 656 = <em>1586 m</em>
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<em>Fencing required = 1586 m</em>
