Answer:(x-3)^2+(y+6)^2=25
Step-by-step explanation:
Center Of The circle is at (3,-6)
Diameter=10
Radius(r)=10/2
Radius(r)=5
a=3
b=-6
Equation of circle=(x-a)^2+(y-b)^2=r^2
Equation of circle=(x-3)^2+(y-(-6))^2=5^2
Equation of circle=(x-3)^2+(y+6)^2=25
Answer:
B
Step-by-step explanation:
multiply both sides by 2 to eliminate the fraction
- x > 12
multiply both sides by - 1
Remembering to reverse the inequality symbol as a consequence
x < - 12 ← reverse symbol
⇒ { x | x ∈ R, x < - 12 } → B
If s represents the number of songs Kim downloads, her expenses for a month must satisfy the inequality
5.00 + 0.58·s ≤ 13.00
To solve this, subtract 5.00 to get the s-term by itself, then divide by the coefficient of s.
0.58·s ≤ 8.00
s ≤ 8.00/0.58 ≈ 13.79
The number of songs must be an integer, so we conclude Kim can download 13 songs, but not 14 songs.
Kim can download 13 songs without exceeding her budget.
Answer:
2
Step-by-step explanation:
|x-6| < 1 + 10 (move 10 to the right side)
|x-6| < 11
1)x-6 < 11 (here x >= 6)
2)-x+6 < 11 (here x < 6)
1)x<17
2)x>-5
so we get -5 < x < 17
the answer: (-5; 17)
