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kumpel [21]
4 years ago
6

Which shows 53^2-47^2 being evaluated using the difference of square method

Mathematics
1 answer:
tia_tia [17]4 years ago
4 0
I think it would be the last one from my calculations im not positive but its what makes sense.
 
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------------------------

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Y=x^2 -9x at x = 4 Find an equation of the tangent an an equation of the normal
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The tangent line to <em>y</em> = <em>f(x)</em> at a point (<em>a</em>, <em>f(a)</em> ) has slope d<em>y</em>/d<em>x</em> at <em>x</em> = <em>a</em>. So first compute the derivative:

<em>y</em> = <em>x</em>² - 9<em>x</em>   →   d<em>y</em>/d<em>x</em> = 2<em>x</em> - 9

When <em>x</em> = 4, the function takes on a value of

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and the derivative is

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Then use the point-slope formula to get the equation of the tangent line:

<em>y</em> - (-20) = -1 (<em>x</em> - 4)

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The normal line is perpendicular to the tangent, so its slope is -1/(-1) = 1. It passes through the same point, so its equation is

<em>y</em> - (-20) = 1 (<em>x</em> - 4)

<em>y</em> + 20 = <em>x</em> - 4

<em>y</em> = <em>x</em> - 24

3 0
3 years ago
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