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3 years ago

The point I (–4, –1) is rotated 90 about the origin. What is the image of I?

Mathematics

1 answer:

ohaa [14]3 years ago

6 0

9514 1404 393

Answer:

I'(1, -4)

Step-by-step explanation:

The transformation for rotation 90° about the origin is ...

(x, y) ⇒ (-y, x)

I(-4, -1) ⇒ I'(1, -4)

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Step-by-step explanation:

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Question 15

We can search x such that:

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Question 16

Again, we search x such that:

$x^2-8x+15=2x-6\\\\\text{*** subtract 2x-6 from both sides ***}\\\\x^2-8x-2x+15+6=0\\\\\text{*** simplify ***}\\\\x^2-10x+21=0 \\ \\\text{*** we are looking for two roots where the sum is 10 and the product is 21 = 7 x 3 ***} \\\\x^2-7x-3x+21=x(x-7)-3(x-7)=(x-3)(x-7)=0\\\\\large \boxed{\sf \ \ x= 3 \ or \ x =7 \ \ }$ There are two solutions.

Hope this helps.

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