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Molodets [167]
3 years ago
8

The difference of the squares of two consecutive integers is 21. find the integers.

Mathematics
1 answer:
photoshop1234 [79]3 years ago
4 0
Let the two integers be x and x+1
(x+1)^2-x^2=21
x^2+2x+1-x^2=21
2x+1=21
2x=20
x=10
then x=10, x+1
10+1=11
the two integers are 10, 11
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400 : 1kg
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X/10=7 what does x equal?
marissa [1.9K]

Answer:

Step-by-step explanation:

x/10=7

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3 years ago
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The vertex of an isosceles triangle measures 15 degrees more than one of its base angles how many degrees are there in a base an
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3 years ago
Find parametric equations for the path of a particle that moves along the circle x2 + (y − 1)2 = 16 in the manner described. (En
ArbitrLikvidat [17]

Answer:

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Step-by-step explanation:

The equation of the circle is:

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After some algebraic and trigonometric handling:

\frac{x^{2}}{16} + \frac{(y-1)^{2}}{16} = 1

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\frac{x}{4} = \cos t

\frac{y-1}{4} = \sin t

Finally,

x = 4\cdot \cos t

y = 1 + 4\cdot \sin t

a) x = 4\cdot \cos t, y = 1 + 4\cdot \sin t.

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c) x = 4\cdot \cos t'', y = 1 + 4\cdot \sin t''

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4\cdot \cos t' = 0

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The solution is t' = \frac{\pi}{2}

The parametric equations are:

x = 4\cdot \cos \left(t+\frac{\pi}{2}  \right)

y = 1 + 4\cdot \sin \left(t + \frac{\pi}{2} \right)

7 0
3 years ago
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svet-max [94.6K]
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{0, 2} qualifies.
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