Answer:
-14
Step-by-step explanation:
step 1:
Subtract 11 from both sides.
y+11−11<−3−11
y<−14
(-inf,2/3) or (2/3,inf)
if x=2/3 then y is undefined
< means 'less than'. 3.5 is less than 4.5, so A is correct. Since -4.5 is NEGATIVE it is less than 0. As for C, since both numbers are negative, it would be the seemingly 'smaller' number that is actually bigger. It may help to think of the numbers on a number line. In the negatives, the numbers start to go in reverse, so the further from 0 a negative number is, the smaller it is. -4.5 IS LESS than -3.5. All answers are correct.
Answer:
10
Step-by-step explanation:
d = √(-2 -4)² + (-2 - 6)² = √36 + 64 = √100 = 10
Answer:
15.8 meters
Step-by-step explanation:
We have the following information:
The length of the intercepted arc for the circle R = 103 * π meters
The arc length of circle S = 163 * π meters
We also know the radius of the circle R (10) but not that of the circle S (x).
We are told that circles R and S have a central angle that measures 60 °. Therefore, the radius of circle S to the radius of circle R is equal to the length of the intercepted arc S to the length of the arc R, thus:
Radius S / Radius R = Length S / Length R
I know all, except the radius of S, we organize for this value and we have:
Radius S = (Length S / Length R) * Radius R
Replacing:
Radius S = (163 * π / 103 * π) * 10
Radius S = 15,825 meters
So the radius of the circle S = 15.8 meters