Answer:
<h2>k = -1</h2>
Step-by-step explanation:
We have the point (5, k) and the equation 2x + y = 9.
Put the coordinates of the point ot the equation:
x = 5, y = k
2(5) + k = 9
10 + k = 9 <em>subtract 10 from both sides</em>
10 - 10 + k = 9 - 10
k = -1
The answer is A.)
To find this answer the first thing we need to do is look at the equation of a straight line: y=mx+b
What I did first was look at b. b represents the y-intercept. By looking at the graph we can tell that the line crosses the y-axis at (0,15), so the y- intercept is 15. So our answer should at least have b=15. Using this we can go ahead and eliminate answers B & C
Next we look at the slope (m). One way you can figure out slope is using the rise over run method. Since this line has a negative slope our rise should be a negative number. So, the only answer that should be left is A.)
Answer:
64°
Step-by-step explanation:
In circle with center P, AD is diameter.

Answer:
- translate down 3
- reflect across the horizontal line through A
Step-by-step explanation:
1. There are many transformations that will map a line to a parallel line. Translation either horizontally or vertically will do it. Reflection across a line halfway between them will do it, as will rotation 180° about any point on that midline.
In the first attachment, we have elected to translate the line down 3 units.
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2. Again, there are many transformations that could be used. Easiest is one that has point A as an invariant point, such as rotation CW or CCW about A, or reflection horizontally or vertically across a line through A.
Any center of rotation on a horizontal or vertical line through A can also be used for a rotation that maps one line to the other.
In the second attachment, we have elected to reflect the line across a horizontal line through A.