we have to firstly apply the distance formula to find the length of sides of the triangle
distance formula = ![\sqrt{(x_{2} -x_{1})^2 +(y_{2}- y_{1})^2}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%28x_%7B2%7D%20-x_%7B1%7D%29%5E2%20%2B%28y_%7B2%7D-%20y_%7B1%7D%29%5E2%7D%20%20)
So length AB = ![\sqrt{(-2-(-1))^2+(1-4)^2}= \sqrt{1 +9}=\sqrt{10}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%28-2-%28-1%29%29%5E2%2B%281-4%29%5E2%7D%3D%20%5Csqrt%7B1%20%2B9%7D%3D%5Csqrt%7B10%7D%20%20%20%20)
BC= ![\sqrt{(2-(-2))^2+(1-1)^2}= \sqrt{16+0}=4](https://tex.z-dn.net/?f=%20%5Csqrt%7B%282-%28-2%29%29%5E2%2B%281-1%29%5E2%7D%3D%20%5Csqrt%7B16%2B0%7D%3D4%20%20%20)
AC = ![\sqrt{(2-(-1))^2+ (1-4)^2}= \sqrt{9+9}=\sqrt{18}=3\sqrt{2}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%282-%28-1%29%29%5E2%2B%20%281-4%29%5E2%7D%3D%20%5Csqrt%7B9%2B9%7D%3D%5Csqrt%7B18%7D%3D3%5Csqrt%7B2%7D%20%20%20%20%20)
Now perimeter = AB+BC+AC = ![\sqrt{10}+4+3\sqrt{2}](https://tex.z-dn.net/?f=%20%5Csqrt%7B10%7D%2B4%2B3%5Csqrt%7B2%7D%20%20%20%20)
Plug in calculator
perimeter= 11.4 units
The Given equation is , 3 x + x = 440,
Let speed of train A is x Km/hour and Speed of train B which is a Bullet train which starts from same station but from different platform is 3 times the speed of train A.
And Sum of their Velocities is i.e Velocity of train A and Velocity of train B is 440 Km/hour.
Answer:
180.55 in².
Step-by-step explanation:
Data obtained from the question include the following:
Height (h) = 9 in.
Diameter (d) = 5 in
Pi (π) = 3.14
Area of the label =..?
Next, we shall determine the radius.
Diameter (d) = 5 in
Radius (r) =.. ?
Radius (r) = Diameter (d) /2
r = d/2
r = 5/2
r = 2.5 in.
Next, we shall determine the area of the label that needs to be printed to go around the new container by calculating the surface area of the cylinder.
This is illustrated below:
Height (h) = 9 in.
Pi (π) = 3.14
Radius (r) = 2.5 in.
Surface Area (SA) =.?
SA = 2πrh + 2πr²
SA = (2×3.14×2.5×9) + (2×3.14×2.5²)
SA = 141.3 + 39.25
SA = 180.55 in²
The surface area of the cylinder is 180.55 in².
Therefore, the area of the label that needs to be printed to go around the new container is 180.55 in².
The answer to the problem is 5
Answer:
First graph is y = 2x +5 (you can tell by the intercept)
Second graph is y = -x + 1 (you can tell because it has a negative slope)
Third graph is y= 1/5x -2 (last option left, and you can tell by the intercept)