What is the area of this triangle?
1 answer:
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<em>Answer:</em>
<em>[-3,3]</em>
<em>Step-by-step explanation:</em>
<em>Write the problem as a mathematical expression.</em>
<em>4x^2+y^2=36</em>
<em>Subtract 4x^2 from both sides of the equation.</em>
<em>y^2=36-4x^2</em>
<em>Take the square root of both sides of the equation to eliminate the exponent on the left side.</em>
<em>y= + and - </em><em />
<em>The complete solution is the result of both the positive and negative portions of the solution.</em>
<em>y= </em><em />
<em /><em />
<em>Set the radicand in </em><em> greater than or equal to 0 to find where the expression is defined.</em>
<em /><em />
<em>So your answer would be [-3,3]</em>
So we have the following system of equations:
We need to solve it by substitution. This means that we have to take the expression for x given by the second equation and replace x with it in the first equation:
So y=-1. If we use this value in the second equation:
So we have x=2 and y=-1 which means that there's one solution. Then the correct answer is A and the solution is (2,-1).