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.
Answer:
a+c+d=180
Step-by-step explanation:
Proportional:
4/7 and 10/17.5
2/3 and 9/12
18/8 and 9/4
NOT proportional:
3/8 and 6/141
7/5 and 27/50
Answer:
x ≈ 9.6
Step-by-step explanation:
Δ ABC is right with ∠ C = 90° ( angle between tangent and radius )
Using Pythagoras' identity in the right triangle
x² + 14² = 17²
x² + 196 = 289 ( subtract 196 from both sides )
x² = 93 ( take the square root of both sides )
x =
≈ 9.6 ( to the nearest tenth )
Here, regrouping is basically carrying.
64+43 shown vertically would be:
64
+43
-------
107
4+3 is 7, so seven is in the ones place, but that's not the point.
60+40 is 100, so you regroup by carrying the one to the hundreds place.
Hope I helped!