Answer:
You may report me if you wish as long as you know i cared enough to write this for you
Step-by-step explanation:
I know i may be unwanted here but I just want you to know that you are incredible and that I love you for you! You are special to everyone you meet, and should not change who you are. I know your life may be tough, but you are strong and can get through it!
Answer:
$85
Step-by-step explanation:
100%-20%=80% and 80% = 0.8
So,
0.8x=68
x=85
Answer:
![x = 3 + i\ or\ x = 3 - i](https://tex.z-dn.net/?f=x%20%3D%203%20%2B%20i%5C%20or%5C%20x%20%3D%203%20-%20i)
Step-by-step explanation:
Given
![x = \frac{-(-6) \± \sqrt{(-6)^2 - 4(1)(10)}}{2*1}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-%28-6%29%20%5C%C2%B1%20%5Csqrt%7B%28-6%29%5E2%20-%204%281%29%2810%29%7D%7D%7B2%2A1%7D)
Required
Solve, in terms of i
We have:
![x = \frac{-(-6) \± \sqrt{(-6)^2 - 4(1)(10)}}{2*1}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-%28-6%29%20%5C%C2%B1%20%5Csqrt%7B%28-6%29%5E2%20-%204%281%29%2810%29%7D%7D%7B2%2A1%7D)
Solve the expressions in bracket
![x = \frac{-(-6) \± \sqrt{36 - 40}}{2*1}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-%28-6%29%20%5C%C2%B1%20%5Csqrt%7B36%20-%2040%7D%7D%7B2%2A1%7D)
![x = \frac{-(-6) \± \sqrt{-4}}{2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-%28-6%29%20%5C%C2%B1%20%5Csqrt%7B-4%7D%7D%7B2%7D)
Express -4 as 4 * -1
![x = \frac{-(-6) \± \sqrt{-4*1}}{2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-%28-6%29%20%5C%C2%B1%20%5Csqrt%7B-4%2A1%7D%7D%7B2%7D)
Split
![x = \frac{-(-6) \± \sqrt{4}*\sqrt{-1}}{2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-%28-6%29%20%5C%C2%B1%20%5Csqrt%7B4%7D%2A%5Csqrt%7B-1%7D%7D%7B2%7D)
In complex numbers;
![i = \sqrt{-1](https://tex.z-dn.net/?f=i%20%3D%20%5Csqrt%7B-1)
So, we have:
![x = \frac{-(-6) \± 2*i}{2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-%28-6%29%20%5C%C2%B1%202%2Ai%7D%7B2%7D)
![x = \frac{6 \± 2i}{2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B6%20%5C%C2%B1%202i%7D%7B2%7D)
Factorize
![x = \frac{2(3 \± i)}{2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B2%283%20%5C%C2%B1%20i%29%7D%7B2%7D)
![x = 3 \± i](https://tex.z-dn.net/?f=x%20%3D%203%20%5C%C2%B1%20i)
Split
![x = 3 + i\ or\ x = 3 - i](https://tex.z-dn.net/?f=x%20%3D%203%20%2B%20i%5C%20or%5C%20x%20%3D%203%20-%20i)
Answer:
- B. Yes, because ED is perpendicular to DT which makes a right angle.
Step-by-step explanation:
Plot the given points and connect in pairs to get a triangle.
Visually we can say it is a right triangle as legs TD and ED seem perpendicular.
Let's confirm this by finding the slopes.
<u>Slope of TD:</u>
- m = (-1 - 4)/(1 -(-2)) = -5/3
<u>Slope of ED:</u>
- (-1 - 2)/ (1 - 6) = -3/-5 = 3/5
<u>Product of the slopes is:</u>
This confirms DT⊥ED
Correct choice is B