Answer:
<h2>The answer is 15 units</h2>
Step-by-step explanation:
The distance between two points can be found by using the formula
![d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\](https://tex.z-dn.net/?f=d%20%3D%20%20%5Csqrt%7B%20%28%7Bx1%20-%20x2%7D%29%5E%7B2%7D%20%2B%20%20%28%7By1%20-%20y2%7D%29%5E%7B2%7D%20%20%7D%20%5C%5C)
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(5, -5) and (-7,4)
The distance between them is
![d = \sqrt{ ({5 + 7})^{2} + ({ - 5 - 4})^{2} } \\ = \sqrt{ {12}^{2} + ( { - 9})^{2} } \\ = \sqrt{144 + 81} \\ = \sqrt{225} \\ = 15 \: \: \: \: \: \:](https://tex.z-dn.net/?f=d%20%3D%20%20%5Csqrt%7B%20%28%7B5%20%2B%207%7D%29%5E%7B2%7D%20%20%2B%20%20%28%7B%20-%205%20-%204%7D%29%5E%7B2%7D%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B%20%7B12%7D%5E%7B2%7D%20%20%2B%20%28%20%7B%20-%209%7D%29%5E%7B2%7D%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B144%20%2B%2081%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B225%7D%20%20%5C%5C%20%20%3D%2015%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20)
We have the final answer as
<h3>15 units</h3>
Hope this helps you
Answer:
The only reason mathematics is admirably suited describing the physical world is that we invented it to do just that. It is a product of the human mind and we make mathematics up as we go along to suit our purposes. ... Mathematics is not discovered, it is invented.
Step-by-step explanation:
You would do 0.25x (x is the unknown total number)=19. It is because of is a multiply sign, so 0.25*x=19. Divide both sides by 0.25 and you get 76 as your answer.
Answer:
since there's only 100 students how can 60 participate in sport and 50 participate in music, that must mean there is 110 students right?
Answer:
y2- y1 over
x2 -x2
![- 3 - 0 = - 3](https://tex.z-dn.net/?f=%20-%203%20-%200%20%3D%20%20-%203)
![0 - 2 = - 2](https://tex.z-dn.net/?f=0%20-%202%20%3D%20%20-%202)
Step-by-step explanation:
slope is m =
![m = - \frac{3}{2}](https://tex.z-dn.net/?f=m%20%3D%20%20%20-%20%5Cfrac%7B3%7D%7B2%7D%20)
use the -3 for b and you get
![y = - \frac{3}{2} x - 3](https://tex.z-dn.net/?f=y%20%3D%20%20-%20%20%5Cfrac%7B3%7D%7B2%7D%20x%20-%203)
slope intercept form