Answer:
An equation of the circle with centre (-2,1) and radius 3 is 
Option D is correct.
Step-by-step explanation:
Looking at the figure we get centre of circle C (-2,1) and radius of circle r = 3
The equation of circle is of form: 
where (h,k) is centre and r is radius.
We have centre C (-2,1) so, we have h = -2 and k = 1
We have radius = 3 so, r = 3
Putting values in the equation and finding the required equation:
So, an equation of the circle with centre (-2,1) and radius 3 is
Option D is correct.
Answer:
<em>The speed of sound at 20°C is 343.42 m/s.</em>
<em>You have to wait 1.75 seconds to hear the sound of the bat hitting the ball</em>
Step-by-step explanation:
<u>Speed of Sound</u>
The speed of sound is not constant with temperature. Generally speaking, the greater the temperature, the greater the speed of sound.
The approximate speed of sound in dry air at temperatures T near 0°C is calculated from:
The air is at T=20°C, thus the speed of sound is:
The speed of sound at 20°C is 343.42 m/s.
To calculate the time to hear the sound after the batter hits the ball, we use the formula of constant speed motion:
Where d is the distance and t is the time. Solving for t:
Substituting the values v=343.42 m/s and d=600 m:
t = 1.75 s
You have to wait 1.75 seconds to hear the sound of the bat hitting the ball
Hello from MrBillDoesMath!
Answer:
One solution (z = -1)
Discussion:
-2(z+3)-z=-z-4(z+2) =>
-2z -6 -z = -z -4z - 8 =>
-3z -6 = -5z -8 => add 6 to both sides
-2z = -5z -2 => add 5z to both sides
3z = -5z +5z -3 =>
3z = -3 =>
z = -1
Thank you,
MrB
The last one because a perpendicular triangle would be drawn from the vertice to the bottom.
11 is divisible by three three times with a remainder of two so the mixed number would be 3 2/3<span />
