Instruction

Mathematics

1 answer:

slavikrds [6]3 years ago

8 0

<h3>Answer: Choice C. (-x, -y)</h3>

Explanation:

Focus on one point, such as A = (1,2). Note how it moves to point A ' = (-1, -2). Both x and y coordinates have been flipped from positive to negative. The rule therefore is $(x,y) \to (-x,-y)$ . This describes a 180 degree rotation (either clockwise or counterclockwise, it doesn't matter). Points B and C follow the same idea.

Side note: Lines AA', BB' and CC' all go through the origin (0,0).

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miss Akunina [59]

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Solve 2x^3+7x^2-2x-1=o

Mashcka [7]

Answer:

$x=\sqrt{3}-2\\x=-\sqrt{3}-2\\x=\frac{1}{2}$

Step-by-step explanation:

This is a hard one

We have to use the rational root theorem

$2x^3+7x^2-2x-1$ = 0

We have to find all the factors of a and d and put them in a fraction

$a=2\\d=-1\\\frac{1}{1,2}$

We then plug them into the equation to see if any of them work

The equation isn't true when plugging 1, but is true when plugging in 1/2

factored form of 1/2 is (2x-1)

Then we divide the original equation by (2x-1) (you can use synthetic division or long division, it would be hard to type out the process for that) to get $x^2+4x+1$