Answer:
Center: (-1,8)
Radius: 1
The graph is attached.
Step-by-step explanation:
The equation of the circle has the form:
Where (h,k) is the point of the center of the circle and r is the radius of the circle.
The equation given in the problem is
Therefore:
h=-1
k=8
Then, the center is (-1,8) and radius is 1.
You can graph the circle with its center at the (-1,8) and a radius of 1 as you can see in the figure attached.
A short way of writing really large numbers or really small numbers
Ex:
360,000,000 is written in scientific nation as.. 3.6 x 10^8
Answer:
y = -0.5x - 2
Step-by-step explanation:
equation: f(x) = mx + b
f(-4) : -4m + b = 0 ...(1)
f(0): 0m + b = -2 b = -2 ... plug in (1)
-4m - 2 = 0
m = - 1/2 = - 0.5
linear equation: y = -0.5x - 2
Answer:
-13
Step-by-step explanation:
Given that:
Average temperature for a period of 4 days = - 8
Average temperature for a 5 day period = - 9
Temperature on the 5th day:
(total temp for the 4 days + 5th day temperature) / 5 = - 9
Let 5th day temperature = x
Total temperature for the 4 days = 4 * - 8 = - 32
(-32 + x) / 5 = - 9
-32 + x = - 45
x = - 45 + 32
x = - 13
Let distance be s and velocity be v
s = 5t⁴ - 10t² + 6
We know velocity is the change in distance per unit time, so
v = ds/dt
v = 20t³ - 20t
