Answer:
1: 65 in^2
2. 55 ft^2
Step-by-step explanation:
1. First you have to find the area of the trapezoid using the formula (a+b)h/2 where a= 10, b=15, and h=8. The answer will be 100. Then subtract the area of the square inside, which is 35. The final answer is 65.
2. Subtract from the dimensions of the landscape to find the dimensions of the patio. The length of the patio is 11 ft and the width is 5 ft. Therefore, the area is 55 ft^2
Answer A: Theoretical.
There is 1 "z" in the alphabet. Therefore the probability of choosing a "z" is 1/26
Answer:
k = 3 or k = -4
(Anyone can correct me if I'm wrong)
Step-by-step explanation:
![2x=ky+2\to\ eq1\\(k+1)x=6y-3\to\ eq2\\$Change to this form: $y=mx+c\\ky=2x-2\\y=\frac{2x-2}{k}\\$gradient of eq1: $\frac{2}{k}\\6y=(k+1)x+3\\y=\frac{(k+1)x+3}{6}\\y=\frac{k+1}{6} x+\frac{3}{6}\\y= \frac{k+1}{6} x+\frac{1}{2}\\$gradient of eq1: $\frac{k+1}{6}\\$Since gradient, m, is the same for both lines,$\\\frac{2}{k}=\frac{k+1}{6}\\12=k^{2}+k\\k^{2}+k-12=0\\(k-3)(k+4)=0\\k=3 $ or $ k=-4](https://tex.z-dn.net/?f=2x%3Dky%2B2%5Cto%5C%20eq1%5C%5C%28k%2B1%29x%3D6y-3%5Cto%5C%20eq2%5C%5C%24Change%20to%20this%20form%3A%20%24y%3Dmx%2Bc%5C%5Cky%3D2x-2%5C%5Cy%3D%5Cfrac%7B2x-2%7D%7Bk%7D%5C%5C%24gradient%20of%20eq1%3A%20%24%5Cfrac%7B2%7D%7Bk%7D%5C%5C6y%3D%28k%2B1%29x%2B3%5C%5Cy%3D%5Cfrac%7B%28k%2B1%29x%2B3%7D%7B6%7D%5C%5Cy%3D%5Cfrac%7Bk%2B1%7D%7B6%7D%20x%2B%5Cfrac%7B3%7D%7B6%7D%5C%5Cy%3D%20%5Cfrac%7Bk%2B1%7D%7B6%7D%20x%2B%5Cfrac%7B1%7D%7B2%7D%5C%5C%24gradient%20of%20eq1%3A%20%24%5Cfrac%7Bk%2B1%7D%7B6%7D%5C%5C%24Since%20gradient%2C%20m%2C%20is%20the%20same%20for%20both%20lines%2C%24%5C%5C%5Cfrac%7B2%7D%7Bk%7D%3D%5Cfrac%7Bk%2B1%7D%7B6%7D%5C%5C12%3Dk%5E%7B2%7D%2Bk%5C%5Ck%5E%7B2%7D%2Bk-12%3D0%5C%5C%28k-3%29%28k%2B4%29%3D0%5C%5Ck%3D3%20%24%20or%20%24%20k%3D-4)
Answer:
(-5, 1), or (-2, 4)
Step-by-step explanation:
*Look at the file - I'm sorry, I know it is so bad, but it was the best way for me to explain :P