Answer:
,
Step-by-step explanation:
,
9514 1404 393
Answer:
x = 12
Step-by-step explanation:
Segment lengths of each chord have the same product.
(x -2)(x +6) = 9×20
x² +4x -12 = 180
x² +4x +4 = 196 . . . . . add 16 (complete the square)
(x +2)² = 14²
x +2 = 14 . . . . . . . . . . . positive root is the only one useful
x = 12
The length of an arc is given by θ/360×2πr, where θ is angle subtended by the arc to the center and r is the radius of the circle.
The length is 12 units, and θ/360 is 1/3
Therefore, 12 = 1/3 × 3.142 ×r
r = 12× 3/3.142
r = 11.457 units
≈ 11 units
Answer:
2
Step-by-step explanation:
Linear equation form: y = mx + b
(where m is the slope and b is the y-intercept)
The rate of change for a line is the slope.
Function 1: y = 6
⇒ the slope is zero so the rate of change is zero
Function 2: y = 2x + 7
⇒ the slope is 2 so the rate of change is 2
Therefore, 2 - 0 = 2
So the rate of change of function 2 is 2 more than the rate of change of function 1
Answer:
N = 52 * (9/7)^(t/1.5)
Step-by-step explanation:
This problem can be modelated as an exponencial problem, using the formula:
N = Po * (1+r)^(t/1.5)
Where P is the final value, Po is the inicial value, r is the rate and t is the amount of time.
In our case, we have that N is the final number of branches after t years, Po = 52 branches, r = 2/7 and t is the number of years since the beginning (in the formula we divide by 1.5 because the rate is defined for 1.5 years)
Then, we have that:
N = 52 * (1 + 2/7)^(t/1.5)
N = 52 * (9/7)^(t/1.5)
