Answer:
10.17 seconds
Step-by-step explanation:
substitute y=0 into the equation
0=-16x²+153x+98
then use the quadratic formula
a = -16
b= 153
c = 98
Substituting values into the Quadratic equation, you get (Round the values to the nearest hundreth):
x₁= 10.17
x₂= -0.60
Answer:
dependent, 39/155
Step-by-step explanation:
Since the checkers are not replaced, the events are dependent since the number of checkers in the bag when you pick the second time depends on the first pick.
31 checkers—13 red and 18 black.
P(red) = red/ total
= 13/31
Keep the checker
Then 30 checkers—12 red and 18 black.
P(black) = black/ total
= 18/30 = 3/5
P ( red, keep,black) = 13/31 *3/5
39/155
Answer:
Option B. (x+3) ^2+(y+4)^2=25
Step-by-step explanation:
we know that
The equation of the circle in standard form is equal to

where
(h,k) is the center and r is the radius
step 1
Find the radius of the circle
Remember that the distance of the center and any point on the circle is equal to the radius of the circle
so
Find the distance between the points (-3,-4) and (0,0)
the formula to calculate the distance between two points is equal to

substitute




step 2
Find the equation of the circle

the center is the point (-3,-4) and the radius is r=5 units
substitute


The answer for the question is 2:5