Several ratios are graphed below. Which ratio is not equivalent to the others? Help plz asap 30 points

Mathematics

1 answer:

marusya05 [52]2 years ago

5 0

Answer:

A: 4 to 7

Step-by-step explanation:

From the graph, you should be able to see that you can connect points (2, 3), (6, 9) and (8, 12) to form a straight line. (4, 7) is the only point that does not lie on this straight line, therefore its ratio is not equivalent to the rest.

Also, reducing 8/12 = 4/6 = 2/3

and reducing 6/9 = 2/3

As 6/9 = 8/12 = 2/3 all these 3 points have equivalent ratios

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$1.\\\\\bold{v_1}=\langle2,4\rangle\qquad\bold{v_2}=\langle-1,5\rangle\\\\
\bold{v_1}\circ\bold{v_2}=2\cdot(-1)+4\cdot5=-2+20=18\qquad [\text{C}]\\\\\\
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||\bold{v_2}||=\sqrt{4^2+(-3)^2}=\sqrt{16+9}=\sqrt{25}=5\\\\\\
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$\cos\Theta=\dfrac{\bold{v_1}\circ\bold{v_2}}{||\bold{v_1}||\cdot||\bold{v_2}||}=\dfrac{-7}{5\cdot\sqrt{29}}\\\\\\
\cos\Theta=-\dfrac{7}{5\sqrt{29}}\quad\implies\quad\Theta=\arccos\left(-\dfrac{7}{5\sqrt{29}}\right)\\\\\\\boxed{\Theta\approx105,1^\circ}$

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