Given:
The vertices of a triangle are R(3, 7), S(-5, -2), and T(3, -5).
To find:
The vertices of the triangle after a reflection over x = -3 and plot the triangle and its image on the graph.
Solution:
If a figure reflected across the line x=a, then



The triangle after a reflection over x = -3. So, the rule of reflection is


The vertices of triangle after reflection are


Similarly,



And,


Therefore, the vertices of triangle after reflection over x=-3 are R'(-9,7), S'(-1,-2) and T'(-3,-5).
X=32 because when you have an even set of numbers, you have to take the two in the middle and find the mean of them:
24+x=28•2
24+x=56
x=32
Answer:
The value of
is 2.
Step-by-step explanation:
The standard form of the equation of the line is of the form:

Where:
,
- Independent and dependent variable, dimensionless.
- Slope, dimensionless.
- y-intercept, dimensionless.
Given that line
is perpendicular to
, the slope is equal to:

Where
is the slope of the perpendicular line, dimensionless.
If
, then:


If
and
, the y-intercept of the line
is:


The equation of the line
is
. Given that
and
, the value of
is:



The value of
is 2.