(4,4).........................
Answer: (x+4) (x+2)
Step-by-step explanation:
x^2 + 2x + 4x +8
Answer:
![\dfrac{\sqrt{40}\cdot \sqrt{40}}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csqrt%7B40%7D%5Ccdot%20%5Csqrt%7B40%7D%7D%7B2%7D)
Step-by-step explanation:
The length of the base is the distance between the points 4+2i and 10+4i, so
![\text{Base}=|10+4i-(4+2i)|=|10+4i-4-2i|=|6+2i|=\sqrt{6^2+2^2}=\\ \\=\sqrt{36+4}=\sqrt{40}](https://tex.z-dn.net/?f=%5Ctext%7BBase%7D%3D%7C10%2B4i-%284%2B2i%29%7C%3D%7C10%2B4i-4-2i%7C%3D%7C6%2B2i%7C%3D%5Csqrt%7B6%5E2%2B2%5E2%7D%3D%5C%5C%20%5C%5C%3D%5Csqrt%7B36%2B4%7D%3D%5Csqrt%7B40%7D)
The middle point of the base is placed at point
![\dfrac{4+2i+10+4i}{2}=\dfrac{6i+14}{2}=7+3i](https://tex.z-dn.net/?f=%5Cdfrac%7B4%2B2i%2B10%2B4i%7D%7B2%7D%3D%5Cdfrac%7B6i%2B14%7D%7B2%7D%3D7%2B3i)
The length of the height is the distance between the points 5+9i and 7+3i
![\text{Height}=|5+9i-(7+3i)|=|5+9i-7-3i|=|-2+6i|=\sqrt{(-2)^2+6^2}=\\ \\=\sqrt{4+36}=\sqrt{40}](https://tex.z-dn.net/?f=%5Ctext%7BHeight%7D%3D%7C5%2B9i-%287%2B3i%29%7C%3D%7C5%2B9i-7-3i%7C%3D%7C-2%2B6i%7C%3D%5Csqrt%7B%28-2%29%5E2%2B6%5E2%7D%3D%5C%5C%20%5C%5C%3D%5Csqrt%7B4%2B36%7D%3D%5Csqrt%7B40%7D)
So, the area of the triangle is
![A=\dfrac{1}{2}\cdot \text{Base}\cdot \text{Height}=\dfrac{\sqrt{40}\cdot \sqrt{40}}{2}](https://tex.z-dn.net/?f=A%3D%5Cdfrac%7B1%7D%7B2%7D%5Ccdot%20%5Ctext%7BBase%7D%5Ccdot%20%5Ctext%7BHeight%7D%3D%5Cdfrac%7B%5Csqrt%7B40%7D%5Ccdot%20%5Csqrt%7B40%7D%7D%7B2%7D)
1 Acre = 43560 square feet
1 Ton = 2000 pounds
320 Acres = 320 * 43560 square feet = 13939200 = <span>1393.92 * 10,000
</span>1393.92 *40 pounds needed = 55756.8
55756.8 / 2000= <span>27.8784 </span>