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kvv77 [185]
3 years ago
9

If P(-2, 1) is rotated 90°, its image is

Mathematics
2 answers:
balu736 [363]3 years ago
7 0

Answer:

Image = (-1, -2)

Step-by-step explanation:

The rule of rotation of an object 90 degree is given by:

(x, y) \rightarrow (-y, x)

Given that:

If P(-2, 1) is rotated 90°

We have to find its image.

Apply the rule on P.

we have;

P(-2, 1) \rightarrow P'(-1, -2)

Therefore, its image is, (-1, -2)

slavikrds [6]3 years ago
6 0
The image of P(-2,1) after it is rotated 90° is (-1,-2).
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3 years ago
Find the distance between (3,4) and (4,-6) if necessary, round to the nearest tenth.
Ratling [72]

Answer:

The distance is:

d = 10.0 units (Rounded to the nearest the Tenths Place)

Step-by-step explanation:

Given the points

  • (3,4)
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\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):

d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}

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   =\sqrt{1+100}

   =\sqrt{101}

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Thus, the distance is:

d = 10.0 units (Rounded to the nearest the Tenths Place)

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Answer:

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<span>x = 1 , 2</span>
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If vector A⃗ has components Ax and Ay and makes an angle θ with the +x axis, then tanθ = Ay/Ax to get the angle of the vector components. Since the trigonometric function of tanθ is sinθ over cosθ, and since sinθ = y/r and cosθ = x/r.
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