Answer:The answer would be 43.75 so thank you :)
Step-by-step explanation:
Answer:
a) y=3x-11
b) y=-1/3x-1
Step-by-step explanation:
First find the slope of the line
rise/run
rise is 3
run is 1
so slope is 3
since this line is parallel to "a", the slope of "a" will also be 3
the equation of a will be
y-y1=3(x-x1) -- where x1 and y1 will be the points it passes through (3,-2)
y-(-2)=3(x-3)
y+2=3x-9
y=3x-9-2
y=3x-11
since this line is perpendicular to "b", the slope of "b" will also be reciprocal negative , -1/3
y-y1=-1/3(x-x1) -- where x1 and y1 will be the points it passes through (3,-2)
y-(-2)=-1/3(x-3)
y+2=-1/3x+1
y=-1/3x+1-2
y=-1/3x-1
The coordinates of the vertex that A maps to after Daniel's reflections are (3, 4) and the coordinates of the vertex that A maps to after Zachary's reflections are (3, 2)
<h3>How to determine the coordinates of the vertex that A maps to after the two reflections?</h3>
From the given figure, the coordinate of the vertex A is represented as:
A = (-5, 2)
<u>The coordinates of the vertex that A maps to after Daniel's reflections</u>
The rule of reflection across the line x = -1 is
(x, y) ⇒ (-x - 2, y)
So, we have:
A' = (5 - 2, 2)
Evaluate the difference
A' = (3, 2)
The rule of reflection across the line y = 2 is
(x, y) ⇒ (x, -y + 4)
So, we have:
A'' = (3, -2 + 4)
Evaluate the difference
A'' = (3, 4)
Hence, the coordinates of the vertex that A maps to after Daniel's reflections are (3, 4)
<u>The coordinates of the vertex that A maps to after Zachary's reflections</u>
The rule of reflection across the line y = 2 is
(x, y) ⇒ (x, -y + 4)
So, we have:
A' = (-5, -2 + 4)
Evaluate the difference
A' = (-5, 2)
The rule of reflection across the line x = -1 is
(x, y) ⇒ (-x - 2, y)
So, we have:
A'' = (5 - 2, 2)
Evaluate the difference
A'' = (3, 2)
Hence, the coordinates of the vertex that A maps to after Zachary's reflections are (3, 2)
Read more about reflection at:
brainly.com/question/4289712
#SPJ1
