Cynthia walks 10 miles south and 24 miles east . How far is she from where she started ?
1 answer:
Answer:
26 miles away
Step-by-step explanation:
1. Drawing out a picture would help you here. I drew one out so you can see how I got started.
2. Use the pythagorean theorem to solve for x (total distance from starting point).
10^2 + 24^2 = x^2
100 + 576 = x^2
676 = x^2
[Take the square root of both sides]
x = 26 miles
I hope this helps!
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Answer:
The standard form of the quadratic equation is x² + 3·x - 4 = 0
Step-by-step explanation:
The standard form of a quadratic equation is a·x² + b·x + c = 0
Given that the expression of the quadratic equation is (x + 4)·(x - 1) = y, we can write the given expression in standard form by expanding, and equating the result to zero as follows;
(x + 4)·(x - 1) = x² - x + 4·x - 4 = x² + 3·x - 4 = 0
The standard form of the quadratic equation is x² + 3·x - 4 = 0
The graph of the equation created with MS Excel is attached
