The rule of reflection over y-axis
(x,y) ⇒⇒⇒ (-x,y)
Note point T will not change
the solution is as shown in attached figure
In this relation we have two ordered pairs:
( 5, 7 ) and ( 5, 8 )
For x = 5 : f ( x ) = 7 and also for x = 5, f ( x ) = 8. This is not possible for a function.
Answer:
b ) No. The relation is not a function.
First, find the slope (m) =
=
=
= 
Now plug in ONE of the points and the slope into the point-slope equation:
y - y₁ = m(x - x₁); where (x₁, y₁) is the chosen point.
y - 5 =
(x - 1) (I used (1,5) as the chosen point)
3(y - 5) = x - 1
3y - 15 = x - 1
3y -14 = x
-14 = x - 3y → x - 3y = -14
Answer: x - 3y = -14
Given:
The figure of a trapezoid.
Length of mid-segment = 5.5
Height of the trapezoid = 
To find:
The area of the trapezoid.
Solution:
The area of a trapezoid is:
...(i)

Where, a,b are bases and h is the vertical height.
We know that
is the length of the mid-segment.
Putting M=5.5 and
in (i), we get


Therefore, the area of the trapezoid is
units squared.
X^2 + 7^2 =14^2
x^2 +49 =196
x^2 -49 -49
x^2 = 147
x^2 / x^2
x = 147