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3 years ago

Determine the x-intercept for 3x + 2y = 14.

Mathematics

1 answer:

spin [16.1K]3 years ago

3 0

First isolate y

3x + 2y = 14

-3x -3x

2y = -3x + 14

y = -3/2x + 14/2

y = -3/2x + 7

X-intercept is found when y = 0

0 = -3/2x + 7

-7 = -3/2x

x = 14/3

x-in. = (14/3,0)

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2 years ago

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a) $x = 4\cdot \cos t$ , $y = 1 + 4\cdot \sin t$ , b) $x = 4\cdot \cos t$ , $y = 1 + 4\cdot \sin t$ , c) $x = 4\cdot \cos \left(t+\frac{\pi}{2} \right)$ , $y = 1 + 4\cdot \sin \left(t + \frac{\pi}{2} \right)$ .

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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Where:

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

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$y = 1 + 4\cdot \sin t$

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

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

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3 years ago