Given:
In ΔFGH, the measure of ∠H=90°, FH = 39, GF = 89, and HG = 80.
To find:
The ratio which represents the cotangent of ∠G.
Solution:
In a right angle triangle, the ratio of the cotangent of an angle is
It is also written as
In ΔFGH, the measure of ∠H=90°. So,
Therefore, the ratio for the cotangent of ∠G is .
The midpoint is at (3/10 , 3/2 , 4/10)
In the given statement is
To find the midpoint of the line segment joining the pair of points
F (3/5, 0, 4/5) and G(0,3,0)
Midpoint:
The coordinates of the midpoint of a line segment are the average of the coordinates of the end points.
m = (A +B)/2
If we are given three points and we wish to find the midpoint of those points, we need to use the midpoint formula m =(,
)
where:
(x1 , y1 ,z1) are the coordinates of the first point:
(x2 , y2 , z2) are the coordinates of the second point:
Now, We are given the three points F (3/5, 0, 4/5) and G(0,3,0)
Solving for the midpoint , we have,
m = ()
m = (3/10 , 3/2 , 4/10)
Therefore, the midpoint is at (3/10 , 3/2 , 4/10)
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Answer:
see explanation
Step-by-step explanation:
let y = f(x), then
y = 11x - 1
Interchange x and y and solve for y
x = 11y - 1 ( add 1 to both sides )
x + 1 = 11y ( divide both sides by 11 )
y = , hence
(x) =