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lana [24]
3 years ago
8

Lisa sale de su casa y recorre su ruta a una velocidad de 1.15m/s, que ten

Mathematics
1 answer:
Gnoma [55]3 years ago
8 0

No entiendo española

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Y=x^2 -9x at x = 4 Find an equation of the tangent an an equation of the normal
Montano1993 [528]

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

<em>y</em> = 4² - 9•4 = -20

and the derivative is

d<em>y</em>/d<em>x</em> (4) = 2•4 - 9 = -1

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

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

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

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

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

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3 years ago
HELP ME PLEASE I NEED HELP
anyanavicka [17]

Answer:

Step-by-step explanation:

This is a narrower-than-normal absolute value graph, which is a v-shaped graph. It's pointy part, the vertex, lies at (2, -3) and it opens upwards without bounds along both the positive and negative x axes. Therefore, as x approaches negative infinity, f(x) or y (same thing) approaches positive infinity. As x approaches positive infinity, f(x) approaches positive infinity.

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Half a number increased by the quotient of p and t
NeX [460]

Answer:

Step-by-step explanation:

Let the number be 'x'

Half a number = \frac{1}{2}x

Half a number increased by the quotient of p and t

\frac{1}{2}x+\frac{p}{t}

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What can be a segment bisector​
Vera_Pavlovna [14]

Answer:  A segment bisector, always passes through the midpoint of the segment and divides a segment in two equal parts. Points, lines, segments, and rays are all types of segment bisectors. If either a ray or a line serves as a segment bisector, it will be infinite.

Hello your very welcome :)

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What is the factored form of x3 + 64?
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Option B, (x+4)(x^2-4x+16)

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