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2 years ago

I literally have no clue what this unit is about so help

Mathematics

2 answers:

vaieri [72.5K]2 years ago

5 0

The answer is D
if the legs are 5 and 4 cm the equation to find the hypotenuse would be 5^2+4^2=c^c
5 squared is 25 and 4 squared is 16 that gives you 41, normally you would square root the 41 but it gives you a decimal number

kaheart [24]2 years ago

3 0

Answer:

4) √41 cm
5) 8 cm or √514 cm

Step-by-step explanation:

According to Pythagorean:

c² = a² + b²
c² = 4² + 5² = 16 + 25 = 41
c = √41

Two sides are 15 cm and 17 cm

If the third side is hypotenuse, its length is:

c = √(15² + 17²) = √514 cm

If the third side is leg, its length is:

a = √(17² - 15²) = √64 = 8 cm

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(6x-5y+4)dy+(y-2x-1)dx=0

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(6x - 5y + 4) dy + (y - 2x - 1) dx = 0

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Let X = x - a and Y = y - b. We want to find constants a and b such that

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where the numerator and denominator on the right side are free of constant terms. Substituting x and y in the equation, we have

dY/dX = (2 (X + a) - (Y + b) + 1) / (6 (X + a) - 5 (Y + b) + 4)

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X dV/dX + V = (2X - VX) / (6X - 5VX)

The equation becomes separable after some simplification:

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X dV/dX = (4V - 4) / (6 - 5V)

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Integrate both sides:

-5/4 V + 1/4 ln|4V - 4| = ln|X| + C

Extract a constant from the logarithm on the left:

-5/4 V + 1/4 (ln(4) + ln|V - 1|) = ln|X| + C

-5/4 V + 1/4 ln|V - 1| = ln|X| + C

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Get this back in terms of Y :

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Now get the solution in terms of y and x :

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