Answer:
The new coordinates of the points of the line segment are p'(2,1) and q'(3,4)
Step-by-step explanation:
we know that
When you reflect a point across the line y= x, the x-coordinate and y-coordinate change places.
so
The rule of the reflection of a point across the line y=x is
(x,y) -----> (y,x)
we have
Points p(1,2) and q(4,3)
Applying the rule of the reflection across the line y=x
p(1,2) ------> p'(2,1)
q(4,3) -----> q'(3,4)
therefore
The new coordinates of the points of the line segment are p'(2,1) and q'(3,4)
Answer:
A & D
Step-by-step explanation:
The parabola opens up, so the minimum value of y is at the point (1, -2) and the graph passes thru the x-axis at 3 and -1, so those are the x-intercepts.
The axis of symmetry is x = 1, not y = -2 and the graph never has a maximum value. Parabolas that open up never have a maximum value.
Answer:
f(1)=-11
f(n)=f(n-1)+22
Step-by-step explanation:
Base equation:
f(n)=-11+22(n-1)
f(1)=-11+22(1-1)
f(1)=-11+0
f(1)=-11
f(n)=-33+22n
f(n-1)=-11+22(n-2)
f(n-1)=-55+22n
-33+22n=-55+22n+x
22n gets canceled out
-33=-55+x
-33+55=x
x=22
f(n)=f(n-1)+22
Answer:
Angle A =35
Step-by-step explanation:
ok that is a triangle
look exterior plus interior is 180
corresponding angles
x+74
now lets solve for the angle a
triangle = 180 degrees
180=73+x+74+37+x
combine like terms
x=−2
now plug in for angle a
37+(-2)
=35
