Can anyone help please?

Mathematics

1 answer:

katen-ka-za [31]2 years ago

5 0

Answer:

A'(-3, 12)
B'(9, 6)
C'(-6, -6)

Step-by-step explanation:

Dilation about the origin multiplies each coordinate value by the dilation factor.

For dilation factor k, the new coordinates are ...

(x, y) ⇒ (kx, ky)

Your dilation factor is 3, so the transformation is ...

(x, y) ⇒ (3x, 3y)

A(-1, 4) ⇒ A'(-3, 12)

B(3, 2) ⇒ B'(9, 6)

C(-2, -2) ⇒ C'(-6, -6)

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Answer:

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Step-by-step explanation:

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4 0

3 years ago

IF NR = 8 ft, what is the length of arc NMP. Round to the nearest tenth.

Pavlova-9 [17]

Check the picture below.

since chords NQ and MP cross the center of the circle at R, that means that those two chords are diametrical chords and the angles made by both are vertical angles and thus twin angles, namely both are 18° as you see in the picture, so the angle NMP in magenta is really 162° + 18° + 18° = 198°, and we know the radius NR is 8.

$\textit{arc's length}\\\\ s=\cfrac{r\pi \theta }{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=8\\ \theta =198 \end{cases}\implies s=\cfrac{(8)\pi (198)}{180}\implies s\approx 27.6$