3 years ago

A segment has exactly one end point. a. True b. False

Mathematics

1 answer:

Alekssandra [29.7K]3 years ago

7 0

A segment only has two end points, so B is the right answer

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(Q7) Determine the graph of the polar equation r = 12/6+4 cos theta.

masya89 [10]

ANSWER

b.

EXPLANATION

The given polar equation is,

$r = \frac{12}{6 + 4 \cos( \theta) }$

Cross multiply to get,

$r(6 + 4 \cos( \theta) ) = 12$

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Substitute,

$r\cos( \theta) = x$

and

$r = \sqrt{ {x}^{2} + {y}^{2} }$

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$3\sqrt{ {x}^{2} + {y}^{2} } + 2x = 6$

$3\sqrt{ {x}^{2} + {y}^{2} } = 4 - 2x$

$9({x}^{2} + {y}^{2}) =( 4 - 2x ) ^{2}$

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$5{x}^{2} + 9 {y}^{2} + 16x = 16$

This is an ellipse whose center is shifted to the left with orientation on the x-axis

The correct choice is B.

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3 years ago

Choose the graph that matches the following system of equations:<br> x + y = 4 <br> 2x + 3y = 18

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The equations become y=-x+4 and y=-⅔+18. Because of this, I think the graph is the one in the first attachment and the top graph.

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