<em>Hi!</em>
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<em>These can be set up as systems of equations.</em>
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<em>Let b = the number of birds, and let d = the number of dogs.</em>
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<em>b + d = 21</em>
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<em>2b + 4d = 76 (this is because birds have 2 legs and dogs have 4 legs.)</em>
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<em>You can solve this using either elimination or substitution.</em>
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<em>Consider marking brainliest.</em>
Explanation:
The line of reflection is the perpendicular bisector of the segment joining a point with its reflected image.
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The segment joining a point with its reflection is as short as possible consistent with the requirement that the reflected point be the same distance from the line that the original is. That means it is perpendicular to the line of reflection. Since the distance from that line is the same on either side, the line of reflection bisects the joining segment.
Answer: The solutions are x = 3+sqrt(2), and x = 3-sqrt(2). The quadratic equation has two solutions because it has a positive discriminant.
Step-by-step explanation:
Using the quadratic formula, we have: 6+-sqrt(8)/2, which become 3+-sqrt(2).
Simplifying
3x + 3y = -3
Solving
3x + 3y = -3
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3y' to each side of the equation.
3x + 3y + -3y = -3 + -3y
Combine like terms: 3y + -3y = 0
3x + 0 = -3 + -3y
3x = -3 + -3y
Divide each side by '3'.
x = -1 + -1y
Simplifying
x = -1 + -1y
