Answer:
Step-by-step explanation:
Given
Required
Select equivalent expression
Factorize the numerator and denominator
Divide by x/x
Expand the numerator
Factorize the numerator
Hence, the equivalent expression is:
Step-by-step explanation:
-2-2
Answer:
The other endpoint of the segment is 
.
Step-by-step explanation:
The midpoint of the points 
and 
is given by the following formula:
where 
= coordinates of the midpoint.
We know that the midpoint is (-15, 2) and an endpoint is (-12, 11). Substituting the information we have gives:
To find 
we need to solve this equation:
and to find 
we need to solve this equation:
The other endpoint of the segment is 
.
Answer:
[(x + 6), (y + 1)]
Step-by-step explanation:
Vertices of the quadrilateral ABCD are,
A → (-5, 2)
B → (-3, 4)
C → (-2, 4)
D → (-1, 2)
By reflecting the given quadrilateral ABCD across x-axis to form the image quadrilateral A'B'C'D',
Rule for the reflection of a point across x-axis is,
(x, y) → (x , -y)
Coordinates of the image point A' will be,
A(-5, 2) → A'(-5, -2)
From the picture attached, point E is obtained by translation of point A'.
Rule for the translation of a point by h units right and k units up,
A'(x+h, y+k) → E(x', y')
By this rule,
A'(-5 + h, -2 + k) → E(1, -1)
By comparing coordinates of A' and E,
-5 + h = 1
h = 6
-2 + k = -1
k = 1
That means
Rule for the translation will be,
[(x + 6), (y + 1)]
