Match the graph with the correct equation. Please help!
1 answer:
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Answer: The picture contains the answer and the steps
<h2>Explanation:</h2><h2 />
The missing diagram is shown below. Remember that shapes are similar if you can turn one into the other by moving, rotating, flipping, or scaling. So this means you can make the object bigger or smaller. So in this case, we know that ΔABC is similar to ΔDEF. If so, we can establish the following proportion:
Our goal is to find x. So by Pythagorean theorem:
Conclusion:
<em>ΔABC ~ΔDEF</em>
<em>Distance across the river is 25.34m </em>
The equation of the parallel line is y = –2x – 11.
Solution:
Given equation of the line is y = –2x – 5.
Slope of this line is = –2
To write the equation parallel to this line and passes through (–4, –3).
<em>If two lines are parallel, then they have the same slope.</em>
<u>Point-slope formula:</u>
Substitute the given values in the formula, we get
Subtract 3 from both sides of the equation.
Hence the equation of the parallel line is y = –2x – 11.