Answer:
centre = (-5, -4)
radius = 7.42
Step-by-step explanation:
The general form for center-radius is
(x - h)² + (y - k)²= r²
Center = (h, k)
Radius = r
Rearrange the equation.
(x² + 10x) + (y² + 8y) - 14 = 0
Add 14 on both sides.
(x² + 10x) + (y² + 8y) = 14
(10/2)² = 25
(8/2)² = 16
Add 25 and 16 to both sides.
(x² + 10x + 25) + (y² + 8y + 16) = 14 + 25 + 16
Factor left side of the equation.
(x+5)² + (x+4)² = 55
(55) = (7.416198)²
(x+5)² + (x+4)² = 7.42²
The radius is 7.42.
The centre is at (-5, -4).
Answer: 2/8
Step-by-step explanation: 1/4 is equal to 2/8 so the answer is 2/8.
Also the 2 numbers in between 1/4 and 5/8 is 3/8 and 4/8
Hope this helped!
Answer: $2,150
Step-by-step explanation:
The amount taken was $2,000
The interest rate was 2.5%
Period is 3 years.
The formula for simple interest is:
= Amount * ( 1 + rate * time)
= 2,000 * ( 1 + 2.5% * 3)
= $2,150