Your awnser is going to be in a fraction form. Im on my laptop so there is no symbol for square root but your answer is going to be
The square root of 6+ the square root of 2 (Thats the top half of the fraction) over 4 (bottom half of the fraction)
Answer:
<h3>
(a) 9.01</h3><h3>
(b) 28.42</h3>
Step-by-step explanation:
(a)
Step 1. Find the middle of BC:
![M_{BC}=\left(\dfrac{x_B+x_C}2\,,\ \dfrac{y_B+y_C}2\right)=\left(\dfrac{4+1}2\,,\ \dfrac{-1+7}2\right)=\left(\dfrac{5}2\,,\ 3\right)](https://tex.z-dn.net/?f=M_%7BBC%7D%3D%5Cleft%28%5Cdfrac%7Bx_B%2Bx_C%7D2%5C%2C%2C%5C%20%5Cdfrac%7By_B%2By_C%7D2%5Cright%29%3D%5Cleft%28%5Cdfrac%7B4%2B1%7D2%5C%2C%2C%5C%20%5Cdfrac%7B-1%2B7%7D2%5Cright%29%3D%5Cleft%28%5Cdfrac%7B5%7D2%5C%2C%2C%5C%203%5Cright%29)
Step 2. Calculate the lenth of AM:
![AM=\sqrt{(x_M-x_A)^2+(y_M-y_A)^2}\\\\AM=\sqrt{(2.5+5)^2+(3+2)^2}= \sqrt{56.25+25}=\sqrt{81.25}\approx9.01](https://tex.z-dn.net/?f=AM%3D%5Csqrt%7B%28x_M-x_A%29%5E2%2B%28y_M-y_A%29%5E2%7D%5C%5C%5C%5CAM%3D%5Csqrt%7B%282.5%2B5%29%5E2%2B%283%2B2%29%5E2%7D%3D%20%5Csqrt%7B56.25%2B25%7D%3D%5Csqrt%7B81.25%7D%5Capprox9.01)
(b)
Step 1. Calculate the lenths of sides:
![AB=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}\\\\AB=\sqrt{(4+5)^2+(-1+2)^2}=\sqrt{81+1}= \sqrt{82}\approx9.06\\\\AC=\sqrt{(x_C-x_A)^2+(y_C-y_A)^2} \\\\AC=\sqrt{(1+5)^2+(7+2)^2}=\sqrt{36+81}= \sqrt{117}\approx10.82\\\\ BC=\sqrt{(x_C-x_B)^2+(y_C-y_B)^2}\\\\ BC=\sqrt{(1-4)^2+(7+1)^2}=\sqrt{9+64}= \sqrt{73}\approx8.54](https://tex.z-dn.net/?f=AB%3D%5Csqrt%7B%28x_B-x_A%29%5E2%2B%28y_B-y_A%29%5E2%7D%5C%5C%5C%5CAB%3D%5Csqrt%7B%284%2B5%29%5E2%2B%28-1%2B2%29%5E2%7D%3D%5Csqrt%7B81%2B1%7D%3D%20%5Csqrt%7B82%7D%5Capprox9.06%5C%5C%5C%5CAC%3D%5Csqrt%7B%28x_C-x_A%29%5E2%2B%28y_C-y_A%29%5E2%7D%20%5C%5C%5C%5CAC%3D%5Csqrt%7B%281%2B5%29%5E2%2B%287%2B2%29%5E2%7D%3D%5Csqrt%7B36%2B81%7D%3D%20%5Csqrt%7B117%7D%5Capprox10.82%5C%5C%5C%5C%20BC%3D%5Csqrt%7B%28x_C-x_B%29%5E2%2B%28y_C-y_B%29%5E2%7D%5C%5C%5C%5C%20BC%3D%5Csqrt%7B%281-4%29%5E2%2B%287%2B1%29%5E2%7D%3D%5Csqrt%7B9%2B64%7D%3D%20%5Csqrt%7B73%7D%5Capprox8.54)
Step 2. Add them:
![P=9.06+10.82+8.54=28.42](https://tex.z-dn.net/?f=P%3D9.06%2B10.82%2B8.54%3D28.42)
Answer:
Distributive Property
Step-by-step explanation:
48/4 because it is 3 times as long as the other piece thinking there are 4 pieces. So one piece has to be 12 because 48/4 is 12 and 12 x 3 is 36 so then we double check 12+36=48 so the pieces are 12inc and 36inc