Solutions i found was m=4 or m=-2<span>
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Step-by-step explanation:
![x = \frac{ - b + - \sqrt{ {b}^{2} - 4ac } }{2a} \\ x = \frac{ - 5 + - \sqrt{ {5}^{2} - 4(5) } }{2} \\ x = \frac{ - 5 + - \sqrt{25 - 20} }{2} \\ x = \frac{ - 5 + - \sqrt{5} }{2}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B%20-%20b%20%2B%20%20-%20%20%5Csqrt%7B%20%7Bb%7D%5E%7B2%7D%20-%204ac%20%7D%20%7D%7B2a%7D%20%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B%20-%205%20%2B%20%20-%20%20%20%5Csqrt%7B%20%7B5%7D%5E%7B2%7D%20-%204%285%29%20%7D%20%7D%7B2%7D%20%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B%20-%205%20%2B%20%20-%20%20%5Csqrt%7B25%20-%2020%7D%20%7D%7B2%7D%20%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B%20-%205%20%2B%20%20-%20%20%5Csqrt%7B5%7D%20%7D%7B2%7D%20)
Therefore, the zeroes would be:
![x1 = \frac{ - 5 + \sqrt{5} }{2} \\ x2 = \frac{ - 5 - \sqrt{5} }{2}](https://tex.z-dn.net/?f=x1%20%3D%20%20%5Cfrac%7B%20-%205%20%2B%20%20%5Csqrt%7B5%7D%20%7D%7B2%7D%20%20%5C%5C%20x2%20%3D%20%20%5Cfrac%7B%20-%205%20-%20%20%5Csqrt%7B5%7D%20%7D%7B2%7D%20)
Given:
Positions of two artifacts are at points (1, 4) and (5, 2).
To find:
The distance between these two artifacts.
Solution:
Distance formula: The distance between two points is
![d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
Using distance formula, the distance between two points (1, 4) and (5, 2) is
![d=\sqrt{(5-1)^2+(2-4)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%285-1%29%5E2%2B%282-4%29%5E2%7D)
![d=\sqrt{(4)^2+(-2)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%284%29%5E2%2B%28-2%29%5E2%7D)
![d=\sqrt{16+4}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B16%2B4%7D)
![d=\sqrt{20}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B20%7D)
![d=4.4721359](https://tex.z-dn.net/?f=d%3D4.4721359)
Round to the nearest tenth of a unit.
![d\approx 4.5](https://tex.z-dn.net/?f=d%5Capprox%204.5)
Therefore, the distance between two artifacts is 4.5 units.
Answer:
C. AAS
Step-by-step explanation:
they share 2 angles(A) you can tell by the markings and they share that one side
by this point you have 2 options left
ASA
or
AAS
the angles are right next to each other so it's AAS
Answer:
4000
Step-by-step explanation:
5000 * .8 is 4000