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3 years ago

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Which points are reflections of each other across both axes? (-2, 8)and(2, -8) (-7, -1)and(-7, 1) (5, -6)and(-5, -6) (4, -3)and

(-3, 4)

2 answers:

dimulka [17.4K]3 years ago

8 0

7 )-(6(5)—=q1278r(4)g

Butoxors [25]3 years ago

4 0

(-2,8) and (2,-8) if you put it on the chart both points should be reflecting each other across (0,0) which is both axes

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Answer:

The fifth term is -1/4.

Step-by-step explanation:

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So, our first term is <em>x</em>.

Then our second term will be our first term multiplied by the common ratio <em>r</em>. So:

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And our third term will be our first term multiplied by the common ratio <em>r</em> twice. Therefore:

$x+3=xr^2$

Solve for <em>x</em>. From the second term, we can divide both sides by <em>x: </em>

$\displaystyle r=\frac{x+2}{x}$

Substitute this into the third equation:

$\displaystyle x+3=x\Big(\frac{x+2}{x}\Big)^2$

Square:

$\displaystyle x+3 = x\Big( \frac{(x+2)^2}{x^2} \Big)$

Simplify:

$\displaystyle x+3=\frac{(x+2)^2}{x}$

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Expand:

$x^2+3x=x^2+4x+4$

Isolate the <em>x: </em>

$-x=4$

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So, our first term is -4 and our common ratio is 1/2.

Then our sequence will be -4, -2, -1, -1/2, -1/4.

You can verify that the first three terms indeed follow the pattern of <em>x</em>, <em>x</em> + 2, and <em>x</em> + 3.

So, our fifth term is -1/4.

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VashaNatasha [74]

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Step-by-step explanation:

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3 years ago