Please help me solve with work shown ### Problem Statement for Educational Website---**21. Find equations for the asymptotes to the hyperbola described by** \[ 49x^2 - 25y^2 - 294x - 100y = 884 \]---**Explanation of the Problem:**In this problem, we are asked to determine the equations of the asymptotes for a specific hyperbola. The given equation is in the general form of a hyperbola equation but includes additional linear terms. To find the asymptotes, we'll need to manipulate and potentially complete the square for the equation to transform it into the standard form of a hyperbola equation, which will help us identify the asymptotes. An asymptote of a hyperbola is a line that the hyperbola approaches but never touches as it heads towards infinity. For a hyperbola given by:\[ \frac{(x-h)^2}{a^2} - \frac{(y-k)^2}{b^2} = 1 \]its asymptotes are given by the equations:\[ y - k = \pm \frac{b}{a}(x - h) \]Let's start by rewriting and simplifying the given equation to extract the needed parameters.---

Name: Please help me solve with work shown ### Problem Statement for Educati
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: Please help me solve with work shown ### Problem Statement for Educational Website---**21. Find equations for the asymptotes to the hyperbola described by** \[ 49x^2 - 25y^2 - 294x - 100y = 884 \]---**Explanation of the Problem:**In this problem, we