Answer:
-1/5
Step-by-step explanation:
When a line is perpendicular to another line, it's gradient will be a reciprocal.
To calculate the reciprocal of a number you have to flip the fraction the other way around.
So, in the case our current gradient is 5/1 (5/1 is the same as just 5) and we need to flip in over to get 1/5, which is our new gradient.
The final step is to make the number negative because the line is going down. This gives us the final answer of -1/5.
Step-by-step explanation:
I don't see any numbers, so I just give you an example :
<u>1</u>1
every position in a number is worth 10 times the value of the position to its very right.
so, in e.g. 11
the left 1 is worth 10 times the value of the right 1.
Answer:
b = 8
Step-by-step explanation:
-11 - 5b = -6b - 3
add 11 to both sides:
-5b = -6b + 8
add 6b to both sides:
-5b + 6b = 8
simplify:
b = 8
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)
The median is 2 1/2 which is question B