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:
-9 degrees Celsius
Step-by-step explanation:
mark brainliest if helped :)
Answer:

Step-by-step explanation:
Use
.
We have

Substitute:

Most earthquakes occur along the edge of the oceanic and continental plates. So, when they slide past each other. Many think it's when they pull apart but that has mixed results.
<span>f(t) = 94*1.25992105^t
Since the value doubles every three years we want an X such that
X^3 = 2
Or in simpler terms, our growth rate is the cube root of 2. So lets get that. To calculate the nth root of a number you can take the logarithm of the number, divide by n, then get the anti-log. So
10^(log(2)/3) = 10^(0.301029996/3) = 10^0.100343332 = 1.25992105
Now the function becomes trivial. I'll use t as the number of years since the baseline capacity was calculated (94 thousand megawatts at t = 0). So
f(t) = 94*1.25992105^t</span>