Answer:
![x = \frac{-(-2) \± \sqrt{(-2)^2 - 4*1*-3}}{2*1}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-%28-2%29%20%5C%C2%B1%20%5Csqrt%7B%28-2%29%5E2%20-%204%2A1%2A-3%7D%7D%7B2%2A1%7D)
Step-by-step explanation:
Given
![0 = x^2 - 2x -3](https://tex.z-dn.net/?f=0%20%3D%20x%5E2%20-%202x%20-3)
Required
The correct quadratic formula for the above
A quadratic equation is represented as:
![ax^2 + bx + c = 0](https://tex.z-dn.net/?f=ax%5E2%20%2B%20bx%20%2B%20c%20%3D%200)
And the formula is:
![x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-b%20%5C%C2%B1%20%5Csqrt%7Bb%5E2%20-%204ac%7D%7D%7B2a%7D)
So, we have:
![0 = x^2 - 2x -3](https://tex.z-dn.net/?f=0%20%3D%20x%5E2%20-%202x%20-3)
Rewrite as:
![x^2 - 2x - 3 = 0](https://tex.z-dn.net/?f=x%5E2%20-%202x%20-%203%20%3D%200)
By comparison:
![a= 1; b = -2; c = -3](https://tex.z-dn.net/?f=a%3D%201%3B%20b%20%3D%20-2%3B%20c%20%3D%20-3)
So, we have:
![x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-b%20%5C%C2%B1%20%5Csqrt%7Bb%5E2%20-%204ac%7D%7D%7B2a%7D)
![x = \frac{-(-2) \± \sqrt{(-2)^2 - 4*1*-3}}{2*1}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-%28-2%29%20%5C%C2%B1%20%5Csqrt%7B%28-2%29%5E2%20-%204%2A1%2A-3%7D%7D%7B2%2A1%7D)
Answer:
A
Step-by-step explanation:
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Answer:
Yes
Step-by-step explanation:
To see if the Triangle is right use Pythagorean theorem which is A^2+B^2=C^2
A and B are to 10 and 24 because the longest side, the hypotenuse is C
10^2+24^2=676
26^2=676
Therefore the triangle is right
The point M is given by coordinates; (8.5, 2.16)
<h3>Ratio coordinate</h3>
The ratio XM : MY is 5:1
Therefore, on the x-axis;
The coordinate of M can be evaluated as follows;
By Cross-product;
Similarly, on the y-axis;
The coordinate of M can be evaluated as follows;
By Cross-product;
Ultimately, the coordinate of point M is; (8.5, 2.16)
Read more on line ratio;
brainly.com/question/11764811
30 minutes / 3 miles = 10 minutes for 1 mile
7 miles * 10 minutes per mile = 70 minutes total to run 7 miles