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Salsk061 [2.6K]

3 years ago

15

Suppose y varies directly with x, and y = 8 when x = –6. What direct variation equation relates x and y? What is the value of y

when x = –2?

1 answer:

ZanzabumX [31]3 years ago

4 0

Hello,

y=kx and if y=8 then x=-6
==>8=k*(-6)==>k=-4/3

if x=-2 then y=-4/3 * (-2)=8/3

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Veronika [31]

<h3>110 degrees has tangent and cosine that are both negative</h3>

<em><u>Solution:</u></em>

<em><u>We have to find the angle that has a tangent and cosine that are both negative</u></em>

<em><u>Option A)</u></em>

$110^{\circ}$

$tan\ 110^{\circ} = -2.7474^{\circ}$

$cos\ 110^{\circ} = -0.3420^{\circ}$

Thus 110 degrees has tangent and cosine that are both negative

<em><u>Option B)</u></em>

$180^{\circ}\\tan\ 180^{\circ} = 0\\\\cos\ 180^{\circ} = -1$

Thus, 180 degrees does not have tangent and cosine that are both negative

<em><u>Option C)</u></em>

$210^{\circ}\\\\tan\ 210^{\circ}=0.5773^{\circ}\\\\\cos\ 210^{\circ} = -0.8660^{\circ}$

Thus, 210 degrees does not have tangent and cosine that are both negative

<em><u>Option D)</u></em>

$340^{\circ}\\\\tan\ 340^{\circ} = -0.3639\\\\cos\ 340^{\circ} = 0.9396$

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