This question is very oddly worded. The domain is the set of x-values, but this is a set of (x,y) ordered pairs.
I'm reading this question as "Here's a function, { (1,5), (2,1), (-1,-7) }. If this is reflected over the x-axis, what's the range?"
Assuming that is the question that is meant to be asked, reflecting a function over the x-axis will just change the signs of the y-values.
(1,5) -> (1,–5)
(2,1) -> (2,–1)
(-1,-7) -> (-1,+7)
I'd pick the third option.
Vertical angles are equal
5x - 40 = 3x + 8
5x - 3x = 8 + 40
2x = 48
x = 48/2
x = 24
m∠ABC = 3x + 8 = 3 * 24 + 8 = 80°
(or m∠ABC = 5x - 40 = 5 * 24 - 40 = 80°)
Answer:
option 4
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
(- 4, - 1 ) → (4, - 1 )
(2, 6 ) → (- 2, 6 )
Rearrange to standard form:-
x^2 - 10x + y^2 = 11
(x - 5)^2 - 25 + y^2 = 11
(x - 5)^2 + y^2 = 36
Center of circle = (5, 0) and radius = sqrt36 = 6
