7+5=m(-2-4), 12=-6m, m=-2, y+5=-2(x-4), y=-2x+8-5, y=-2x+3
The diving from a cliff can be expressed in the equation H = Ho + vot - 1/2 g t^2 where vo as initial velocity is equal to zero since this is a free fall. g is equal to 32.2 ft/s2 as the acceleration due to gravity and Ho is equal to 40 feet. The expression now becomes H = 40- 16.1 t^2. When t is 1 second, H is equal to 23.9 feet. The total time of the diver is 0 = 40 - 16.1 t^2 or t equal to 1.58 seconds.
Step-by-step explanation:
14 - 10 1/6
14 - 10.16
= 3.84
Answer:
The perimeter of ∆ABC is ![P=14.35\ units](https://tex.z-dn.net/?f=P%3D14.35%5C%20units)
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
When a circle has an inscribed angle that "cuts out" a semi-circle, like the one in the attached figure, then the inscribed angle is a right angle. so
m∠C=90°
The perimeter of triangle ABC is equal to
![P=AB+BC+AC](https://tex.z-dn.net/?f=P%3DAB%2BBC%2BAC)
----> is equal to the diameter of the circle
<em>Find the length side AC</em>
![cos(35\°)=\frac{AC}{AB}](https://tex.z-dn.net/?f=cos%2835%5C%C2%B0%29%3D%5Cfrac%7BAC%7D%7BAB%7D)
![AC=cos(35\°)(AB)](https://tex.z-dn.net/?f=AC%3Dcos%2835%5C%C2%B0%29%28AB%29)
substitute
![AC=cos(35\°)(6)=4.91\ units](https://tex.z-dn.net/?f=AC%3Dcos%2835%5C%C2%B0%29%286%29%3D4.91%5C%20units)
<em>Find the length side BC</em>
![sin(35\°)=\frac{BC}{AB}](https://tex.z-dn.net/?f=sin%2835%5C%C2%B0%29%3D%5Cfrac%7BBC%7D%7BAB%7D)
![BC=sin(35\°)(AB)](https://tex.z-dn.net/?f=BC%3Dsin%2835%5C%C2%B0%29%28AB%29)
substitute
![BC=sin(35\°)(6)=3.44\ units](https://tex.z-dn.net/?f=BC%3Dsin%2835%5C%C2%B0%29%286%29%3D3.44%5C%20units)
<em>Find out the perimeter</em>
![P=AB+BC+AC](https://tex.z-dn.net/?f=P%3DAB%2BBC%2BAC)
substitute
![P=6+3.44+4.91=14.35\ units](https://tex.z-dn.net/?f=P%3D6%2B3.44%2B4.91%3D14.35%5C%20units)