Answer:
D
Step-by-step explanation:
The radius r is the distance from the centre to a point on the circle.
Calculate r using the distance formula
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (- 5, - 12)
r = 
= 
= 
= 
= 13 → D
Answer:
1/7
Step-by-step explanation:
The probability that the Captain hits is \dfrac{1}{2}
2
1
start fraction, 1, divided by, 2, end fraction.
The probability that the pirate hits is \dfrac{2}{7}
7
2
start fraction, 2, divided by, 7, end fraction.
1/2 x 2/7 = 1/7
If the ball hit the ground it means that its height is equal to 0. In order to find the time after the ball <span>will hit the ground, we need to find the solution of the equation h(x)=0 which is different to 0.
-4.9x^2+21.3x=0
x(-4.9x+21.3)=0
-4.9x+21.3=0
x=21.3/4.9 = 4.3469 seconds</span>
Answer:
0 <=t<=21
Step-by-step explanation:
Projectile is Moving upwards on an interval of (0 to 21), if we plot Velocity vs Time and denote positive y-axis above 0 and negative y-axis below 0(for velocity), then from 0 to 21 t projectile is moving upwards and has positive velocity, when the projectile reaches the top of it's motion and returns back down to ground it's velocity is negative and is plotted below the y =0 (note that is for t > 21).
hence for the interval 0 <=t <=21 the instantaneous velocity is positive (Note, instantaneous velocity is also the derivative of the velocity or the slope ).
<span> 4x+7=5
subtract 7 on both sides
4x = -2
divide both sides by 4
x = -2/4
simplify
x = -1/2</span>
