Answer: ![(0.5,8.5)](https://tex.z-dn.net/?f=%280.5%2C8.5%29)
Step-by-step explanation:
We need to use the following formula to find the Midpoint "M":
![M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})](https://tex.z-dn.net/?f=M%3D%28%5Cfrac%7Bx_1%2Bx_2%7D%7B2%7D%2C%5Cfrac%7By_1%2By_2%7D%7B2%7D%29)
Given the points (-5,13) and (6,4) can identify that:
![x_1=-5\\x_2=6\\\\y_1=13\\y_2=4](https://tex.z-dn.net/?f=x_1%3D-5%5C%5Cx_2%3D6%5C%5C%5C%5Cy_1%3D13%5C%5Cy_2%3D4)
The final step is to substitute values into the formula.
Therefore, the midpoint of the segment between the points (-5,13) and (6,4) is:
![M=(\frac{-5+6}{2},\frac{13+4}{2})\\\\M=(\frac{1}{2},\frac{17}{2})\\\\M=(0.5,8.5)](https://tex.z-dn.net/?f=M%3D%28%5Cfrac%7B-5%2B6%7D%7B2%7D%2C%5Cfrac%7B13%2B4%7D%7B2%7D%29%5C%5C%5C%5CM%3D%28%5Cfrac%7B1%7D%7B2%7D%2C%5Cfrac%7B17%7D%7B2%7D%29%5C%5C%5C%5CM%3D%280.5%2C8.5%29)
Answer:
0.5
Step-by-step explanation:
Answer:
n/7 < -3
Step-by-step explanation:
Answer:
![4.5 cm=L2](https://tex.z-dn.net/?f=4.5%20cm%3DL2)
Step-by-step explanation:
This problem can be solved using the pythagorian theoreme:
![H=\sqrt{L1^{2}+L2^{2} }](https://tex.z-dn.net/?f=H%3D%5Csqrt%7BL1%5E%7B2%7D%2BL2%5E%7B2%7D%20%20%7D)
Where:
![H=6 cm](https://tex.z-dn.net/?f=H%3D6%20cm)
![L1=4 cm](https://tex.z-dn.net/?f=L1%3D4%20cm)
![L2=?](https://tex.z-dn.net/?f=L2%3D%3F)
We isolate our incognita an we get:
![\sqrt{H^{2}-L1^{2}} =L2](https://tex.z-dn.net/?f=%5Csqrt%7BH%5E%7B2%7D-L1%5E%7B2%7D%7D%20%3DL2)
We supplant with the given data:
![\sqrt{(6cm)^{2}-(4cm)^{2}} =L2](https://tex.z-dn.net/?f=%5Csqrt%7B%286cm%29%5E%7B2%7D-%284cm%29%5E%7B2%7D%7D%20%3DL2)
![\sqrt{36cm^{2}-16cm^{2}} =L2](https://tex.z-dn.net/?f=%5Csqrt%7B36cm%5E%7B2%7D-16cm%5E%7B2%7D%7D%20%3DL2)
![\sqrt{36cm^{2}-16cm^{2}} =L2](https://tex.z-dn.net/?f=%5Csqrt%7B36cm%5E%7B2%7D-16cm%5E%7B2%7D%7D%20%3DL2)
![\sqrt{20cm^{2}} =L2](https://tex.z-dn.net/?f=%5Csqrt%7B20cm%5E%7B2%7D%7D%20%3DL2)
![4.5 cm=L2](https://tex.z-dn.net/?f=4.5%20cm%3DL2)
Step-by-step explanation:
no of days = (15×12)/20= 9 days
I hope this helps