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maria [59]
3 years ago
12

Determina la pendiente y el ángulo de la recta tangente a la función f(x)=x2-8x+16 en el punto a(6,4)

Mathematics
1 answer:
love history [14]3 years ago
7 0

Answer:

4

75.96^{\circ}

Step-by-step explanation:

La función es

f(x)=x^2-8x+16

La derivada de la ecuación nos da la tangente

f'(x)=2x-8

El punto es (6,4)

Entonces en x=6

f'(6)=2\times 6-8=4

La pendiente de la tangente es 4.

El ángulo de la pendiente está dado por

\tan\theta=m\\\Rightarrow \theta=\tan{-1}m\\\Rightarrow \theta=\tan^{-1}4\\\Rightarrow \theta=75.96^{\circ}

El ángulo que forma la tangente con el eje x positivo es 75.96^{\circ}

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The square ABCD has side length 20 cm,
bogdanovich [222]

Answer:

AE=22.4

Step-by-step explanation:

BE is 1/2 of BC

BC is 20 cm                 All sides of a square are equal

BE = 1/2 BC                  Property of a midpoint.

BE = 10

Now just use Pythagorus

AB^2 + BE^2 = AE^2

AE^2 = 20^2 + 10^2   Perform the sqrs

AE^2 = 400 + 100      Add the terms

AE^2 = 500                Take the square root of both sides

√AE^2 = √500

AE = 22.36

AE ≈ 22.4

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3 years ago
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Answer:

the area is 6.5

Step-by-step explanation:

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3 years ago
PLEASE ANSWER WITH SOLUTION PLS
katen-ka-za [31]

Answer:

whatever% of anything, is just (whatever/100) * anything.

there were a total of 560000 votes, now, off those some are valid and some are invalid.

we know 15% of that are invalid, that simply means that 85% are valid, since 85% + 15% is the whole thing, or 100%, if 15% are not good, the other 85% are the good ones.

how many are the valid ones anyway?  well, 85% of 560000, which is just (85/100) * 560000.

we know that off those valid ones, the candidate got 75% of those, so how much is 75% of that?

well, (75/100) * [ (85/100) * 560000 ].

Step-by-step explanation:

7 0
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I need this simplify ratios: fractions​
rjkz [21]

Answer:

20 : 9

Step-by-step explanation:

Given the ratio

2 : \frac{9}{10}

Multiply both parts of the ratio by 10 to clear the fraction

= 20 : 9

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A minor league baseball team has a member's club. It costs $30 to join and $3 per ticket. Non-members pay $6 per ticket. How man
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2 tickets

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