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Marrrta [24]
3 years ago
9

When are the lines parallel?

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
4 0

Answer:

A.

Step-by-step explanation:

When we write out the slope-intercept form of the systems of equations for A:

y = 5 - 2/3x

y = 1 - 2/3x

Parallel lines have the same slope but different y-intercept. Therefore, our answer is A.

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Which functions have graphs that are less steep than the graph of f(x)= -4x^2
LiRa [457]
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3 years ago
How do you do this question?
mihalych1998 [28]

Answer:

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Step-by-step explanation:

The area under the curve from x=-π/2 to x=k is 3 times the area under the curve from x=k to x=π/2.

\int\limits^k_{-\frac{\pi }{2}} {cos\ x} \, dx = 3\int\limits^{\frac{\pi }{2}}_k {cos\ x} \, dx\\sin\ x\ |^{k}_{-\frac{\pi }{2}} = 3\ sin\ x\ |^{\frac{\pi }{2}}_k\\(sin\ k - (-1)) = 3\ (1 - sin\ k)\\sin\ k + 1 = 3 - 3\ sin\ k\\4\ sin\ k = 2\\sin\ k = \frac{1}{2}\\k = \frac{\pi}{6}

Graph: desmos.com/calculator/mezlen9hb4

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