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4 years ago

HELP ASAP NEED HELPPP

Mathematics

1 answer:

Sloan [31]4 years ago

6 0

Make everything equal to 360 degrees
x + 73 + 62 + 66 + x + 57 = 360
2x + 258 = 360
2x = 102
x = 51

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The curve with equation y=e^2x/4+3e^x has one stationary point.find the exact value of the coordinates of this point

Softa [21]

$y=\dfrac{e^{2x}}{4+3e^x}$
$\implies y'=\dfrac{2e^{2x}(4+3e^x)-3e^xe^{2x}}{(4+3e^x)^2}$
$\implies y'=\dfrac{8e^{2x}+3e^{3x}}{(4+3e^x)^2}$

Stationary points occur where the derivative is zero. The denominator is positive for all $x$ , so we only need to worry about the numerator.

$8e^{2x}+3e^{3x}=e^{2x}(8+3e^x)=0$

$e^{2x}>0$ for all $x$ , so we can divide through:

$8+3e^x=0\implies e^x=-\dfrac83$

But $e^x>0$ for all $x\in\mathbb R$ , so this function has no stationary points...

I suspect there may be a typo in the question.

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3 years ago

What is the prime factorization of 56?

Tom [10]

2x2x2x7 is the correct answer

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3 years ago

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Is X^2-Y^2=0 a quadratic equation ?

slega [8]

I dont think so but to justify quads means four and the is no sign of x to the fourth power or y to the fourth power ect.

8 0

3 years ago

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Plssss will give Brainliest

Dominik [7]

Answer:

Step-by-step explanation:

The relationship that exists between the length of the hypotenuse and the length of the legs is that the sum of both of the legs lengths squared is equal to the hypotenuse length's squared or in other words, the Pythagorean theorem.

$6^{2} +8^{2} =10^{2}$

Hope that helps!

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2 years ago

How many one degree ngles are in a 70 degree angle

velikii [3]

Answer:

um, seventy one-degree-angles would be in a seventy-degree angle...

Step-by-step explanation:

Are you being serious about this question?

I assume the answer to be pretty self-explanatory.

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2 years ago