Answer:
The answer is 2.
Step-by-step explanation:
If I have done my math correctly, and I think I have, 1+1 should equal 2. Hope this helps ;)
Answer:
7
Step-by-step explanation:
number of diagonals in a regular polygon = number of sides - 2.
A nonagon is a polygon having 9 sides.
Total number of diagonals in a regular nonagon
= 9 - 2
= 7
he formula of a distance between a point (a, b)
and a line Ax + By + C = 0:
![d=\dfrac{|Aa+Bb+C|}{\sqrt{A^2+B^2}}](https://tex.z-dn.net/?f=d%3D%5Cdfrac%7B%7CAa%2BBb%2BC%7C%7D%7B%5Csqrt%7BA%5E2%2BB%5E2%7D%7D)
We have the point A(-1, 7) → a = -1, b = 7
and the line y = 3x → 3x - y = 0 → A = 3, B = -1, C = 0.
Substitute:
![d=\dfrac{|(3)(-1)+(-1)(7)+0|}{\sqrt{3^2+(-1)^2}}=\dfrac{|-3-7|}{\sqrt{9+1}}=\dfrac{|-10|}{\sqrt{10}}=\dfrac{10\sqrt{10}}{\sqrt{10}\cdot\sqrt{10}}\\\\=\dfrac{10\sqrt{10}}{10}=\sqrt{10}](https://tex.z-dn.net/?f=d%3D%5Cdfrac%7B%7C%283%29%28-1%29%2B%28-1%29%287%29%2B0%7C%7D%7B%5Csqrt%7B3%5E2%2B%28-1%29%5E2%7D%7D%3D%5Cdfrac%7B%7C-3-7%7C%7D%7B%5Csqrt%7B9%2B1%7D%7D%3D%5Cdfrac%7B%7C-10%7C%7D%7B%5Csqrt%7B10%7D%7D%3D%5Cdfrac%7B10%5Csqrt%7B10%7D%7D%7B%5Csqrt%7B10%7D%5Ccdot%5Csqrt%7B10%7D%7D%5C%5C%5C%5C%3D%5Cdfrac%7B10%5Csqrt%7B10%7D%7D%7B10%7D%3D%5Csqrt%7B10%7D)
<h3>Answer: d = √10</h3>
To find the perpendicular slope, we simply flip the fraction (aka reciprocal) and flip the sign (go from positive to negative, or vice versa)
So for problem 1a) we flip the fraction to go from 4/3 to 3/4. Then we flip the sign to go from +3/4 to -3/4. The final answer to problem 1a) is -3/4
The answer to problem 1b) is 7/3 following the same basic steps: -3/7 ---> -7/3 ---> 7/3
The answer to problem 1c) is -1/4. You can think of 4 as 4/1 which flips to 1/4 and it becomes -1/4
I'll let you try out the rest 1d and 1e. Tell me what you get so I can check your answers.