Answer:
P'(-9, 3)
Step-by-step explanation:
The transformation for rotation counterclockwise about the origin by some angle α will be ...
(x, y) ⇒ (x·cos(α) -y·sin(α), x·sin(α) +y·cos(α))
When the angle is α = 90°, this reduces to ...
(x, y) ⇒ (-y, x)
You have (x, y) = (3, 9), so the image point is P'(-9, 3).
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<em>Additional comment</em>
The "work" is applying the right sign and choosing the right coordinate to fill in the values (-y, x). I find it easier to look up the transformations for ±90° and 180°, rather than try to derive them from first principles every time. Your text may have a list:
- 90° CCW or 270° CW: (x, y) ⇒ (-y, x)
- 90° CW or 270° CCW: (x, y) ⇒ (y, -x)
- 180°: (x, y) ⇒ (-x, -y)
The Federal Bureau of Investigation is not an agency under the direction of the Department of Homeland Security. The correct option among all the options that are given in the question is the third option or option "c". FBI is actually the domestic intelligence and security agency. I hope the answer comes to your help.
Answer:
g(x)=8x+16 for x= -3, 0, and 8.
g(-3) = -8
g(0)= 16
g(8)= 80
Step-by-step explanation:
Step 1. Plugin the given numbers.
g(-3)= 8(-3) + 16
g(0)= 8(0) + 16
g(8)= 8(8) + 16
Step 2. Solve the equations.
g(-3)= -24 + 16 Multiplied -3 and 8.
g(-3)= -8 Added -24 and 16
g(0)= 0+16 Multiplied 0 and 8.
g(0)= 16 Added 16 and 0.
g(8)= 64+16 Multiplied 8 and 8.
g(8)= 80 Added 64 and 16.
