Answer:
f(x) = 2x^2+5x-12
Step-by-step explanation:
Step-by-step explanation:
Area of rectangle= lw
![= 5 {m}^{4} \times ( {m}^{2} - 2m - 1) \\ = 5 {m}^{6} - 10 {m}^{5} - 5 {m}^{4} \\](https://tex.z-dn.net/?f=%20%3D%205%20%7Bm%7D%5E%7B4%7D%20%20%5Ctimes%20%28%20%7Bm%7D%5E%7B2%7D%20%20-%202m%20-%201%29%20%5C%5C%20%20%3D%205%20%7Bm%7D%5E%7B6%7D%20%20-%2010%20%7Bm%7D%5E%7B5%7D%20%20%20-%205%20%7Bm%7D%5E%7B4%7D%20%20%5C%5C%20)
The midpoint of the line segment with endpoints at the given coordinates (-6,6) and (-3,-9) is ![\left(\frac{-9}{2}, \frac{-3}{2}\right)](https://tex.z-dn.net/?f=%5Cleft%28%5Cfrac%7B-9%7D%7B2%7D%2C%20%5Cfrac%7B-3%7D%7B2%7D%5Cright%29)
<u>Solution:</u>
Given, two points are (-6, 6) and (-3, -9)
We have to find the midpoint of the segment formed by the given points.
The midpoint of a segment formed by
is given by:
![\text { Mid point } \mathrm{m}=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)](https://tex.z-dn.net/?f=%5Ctext%20%7B%20Mid%20point%20%7D%20%5Cmathrm%7Bm%7D%3D%5Cleft%28%5Cfrac%7Bx_%7B1%7D%2Bx_%7B2%7D%7D%7B2%7D%2C%20%5Cfrac%7By_%7B1%7D%2By_%7B2%7D%7D%7B2%7D%5Cright%29)
![\text { Here in our problem, } x_{1}=-6, y_{1}=6, x_{2}=-3 \text { and } y_{2}=-9](https://tex.z-dn.net/?f=%5Ctext%20%7B%20Here%20in%20our%20problem%2C%20%7D%20x_%7B1%7D%3D-6%2C%20y_%7B1%7D%3D6%2C%20x_%7B2%7D%3D-3%20%5Ctext%20%7B%20and%20%7D%20y_%7B2%7D%3D-9)
Plugging in the values in formula, we get,
![\begin{array}{l}{m=\left(\frac{-6+(-3)}{2}, \frac{6+(-9)}{2}\right)=\left(\frac{-6-3}{2}, \frac{6-9}{2}\right)} \\\\ {=\left(\frac{-9}{2}, \frac{-3}{2}\right)}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bl%7D%7Bm%3D%5Cleft%28%5Cfrac%7B-6%2B%28-3%29%7D%7B2%7D%2C%20%5Cfrac%7B6%2B%28-9%29%7D%7B2%7D%5Cright%29%3D%5Cleft%28%5Cfrac%7B-6-3%7D%7B2%7D%2C%20%5Cfrac%7B6-9%7D%7B2%7D%5Cright%29%7D%20%5C%5C%5C%5C%20%7B%3D%5Cleft%28%5Cfrac%7B-9%7D%7B2%7D%2C%20%5Cfrac%7B-3%7D%7B2%7D%5Cright%29%7D%5Cend%7Barray%7D)
Hence, the midpoint of the segment is ![\left(\frac{-9}{2}, \frac{-3}{2}\right)](https://tex.z-dn.net/?f=%5Cleft%28%5Cfrac%7B-9%7D%7B2%7D%2C%20%5Cfrac%7B-3%7D%7B2%7D%5Cright%29)
Answer:
I am pretty sure the answer is 23
Step-by-step explanation:
The answer is 23 because if you multiply 23 by 10 you get 230 which is the same if you divided 230 by 10 and you get 23.
They're both true. Both statements, together, make one
single fancy way of saying "Only one man can win.".