Answer:
I think these are the right answers. The answer to one is 32. The answer to two is 38.
1: 2[18-(5+3^2)/7]
2[18-(5+9)/7]
2[18-14/7]
2[18-2]
2 times 16 = 32
2: I used a calculator for this one.
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.
2
42 ÷ 2 = 21
16 ÷ 2 = 8
Let's try the other factors of 42...
42 ÷ 6 = 7
16 ÷ 6 = 2.66
No...
42 ÷ 7 = 6
16 ÷ 7 = 2 2/7
No...
42 ÷ 14 = 3
16 ÷ 14 = 1.1428
No...
Evaluate the given function in x=-4.
This is, replace the x in the function for -4 and find the value of g(-4).

The value of g(-4) is 32.