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LuckyWell [14K]
3 years ago
11

Find the slope of the tangent line to the parabola y=4x-x^2 at the point (1,3)

Mathematics
1 answer:
Anna35 [415]3 years ago
7 0
Y=4x - x²
dy/dx = 4-2x
dy/dx | x=1 : 4-2(1) = 4-2= 2
gradient= 2
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Please help me with these. These are so hard.<br><br>​
LuckyWell [14K]

\bf \textit{difference and sum of cubes} \\\\ a^3+b^3 = (a+b)(a^2-ab+b^2) ~\hfill a^3-b^3 = (a-b)(a^2+ab+b^2) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \boxed{a^6+b^6}\implies a^{2\cdot 3}+b^{2\cdot 3}\implies (a^2)^3+(b^2)^3 \\[2em] [a^2+b^2] [(a^2)^2-a^2b^2+(b^2)^2]\implies \boxed{(a^2+b^2)(a^4-a^2b^2+b^4)}

about the second one... well, is a "fait accompli" that using the pythagorean theorem, if x = 8 and y = 5, the hypotenuse must be √(8² + 5²) = √(89), which is neither of those choices.

5, 8, 13 are no dice, namely 5² + 8² ≠ 13

25, 64, 17 is are no dice too, because 25² + 17² ≠ 64²

however, 5,12 and 13 are indeed a pythagorean triple

also is 39, 80, 89.

when looking for a pythagorean triple, recall that c² = a² + b².

so the longest leg is the sum of the square of the small ones.

so what you'd do is, check the small legs, square them, add them up, if they're indeed a pythagorean triple, they "must" add up to the longest leg.

4 0
3 years ago
Add<br>3×+8y-12zand5x-7y+15z<br>help meee<br>​
inn [45]

3x+5x+12z+15z+8y+7y

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4 0
2 years ago
Please help don’t know the answer
77julia77 [94]

Answer:

D

Explanation:

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2 years ago
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17/40

here! hope this helps!

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Tim has completed five math problems and 13 minutes if he continues at the same rate how long will it take him to finish 20 prob
Likurg_2 [28]

Answer:

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Step-by-step explanation:

it takes him 13 minutes to complete 5 so if he wants  to do 20 problems  do 20 divided by 5 (4) then do 13 times 4=52

5 0
2 years ago
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