Answer:
1) 4+n<13
2) 11-n>17
3) n-8≥9 or n+(-8)≥9
4) 16<8n
5) n·5≤30
Step-by-step explanation:
Answer:
A = (-1,5) or (-1,-3)
Step-by-step explanation:
A = (-1,y) B = (2,1)
(Distance from A to B) = √[(-1-2)² + (y-1)²] = 5
=√[9 + y² - 2y + 1] = 5
Squaring on both sides
= y² - 2y + 10 = 25
=y² - 2y -15 = 0
= (y-5)(y+3) = 0
y = 5 or -3
Therefore, A = (-1,5) or (-1,-3)
Answer:
You can buy 3 books 4 x 3 = 12
Step-by-step explanation:
Answer:
4Hz
Step-by-step explanation:
Standard form of a sine or cosine function,
y = acos(b(x+c))
where a is the amplitude, b is the value to find the period. and c is the phase shift.
Period = \frac{2\pi}{b}
From the equation given in the question,

We can see:
Amplitude = 3,
Period = \frac{2\pi}{8\pi} = 1 / 4
Phase Shift = 1 / 16
Now we want to find the frequency.
Frequency = 1 / Period
= 1 / (1/4)
= 4Hz