Mathematics: Which is the equation of the parabola?

Which is the equation of the parabola?

Ответ:

absmentalbreakdown

13.03.2022

Mathematics

$y=-\dfrac{1}{8}(x - 2)^2 - 3$

Step-by-step explanation:

The vertex form of a parabola is: y = a(x - h)² + k where

(h, k) is the vertex $a=\dfrac{1}{4p}$

NOTE: p is the distance from the vertex to the focus

The vertex (h, k) is (2, -3)

$p=-2\quad \implies\quad a = \dfrac{1}{4(-2)}=-\dfrac{1}{8}$

Insert those values into the vertex formula to get:

$y=-\dfrac{1}{8}(x - 2)^2 - 3$

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Ответ:

juneham

26.01.2023

Mathematics

The canyon is approximately 314 meters away

Explanation:

Speed of Sound

If we emit sounds in an open space where a large obstacle (like a mountain) is expected to return the sounds, then it will travel forth and back at a given speed for a certain time. We can assume the speed of sound is constant, so we could know the approximate distance of the mountain (or canyon in our case) by the known formula.

x=v_st