3 years ago

Which equations show a direct variation between x and y when solved for y?

1 answer:

4 0

A. if you solve for y, then you get y=2x+18, and that is not direct variation, so it is not
B. It is direct variation since you only have a slope and the line passes through the origin so it is direct variation
C. If you solve for y, you get y=1/3x. and that is direct variation because the line passes through the origin.
D. That is not direction variation,because that is inverse variation.
So it is B, C

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Directed line segment AB has endpoints A(2,3) and B(8,15). Point P has coordinated P(6,11). What ratio does P partition AB into?

Vladimir79 [104]

Refer to the graph shown below. It confirms that points A, B and P are
collinear.

Calculate the length of AP (as a).
a = √[(6 - 2)² + (11 - 3)²]
= 8.9443

Calculate the length of BP (as b).
b = √[(8 - 6)² + (15 - 11)²]
= 4.4721

Calculate ratio a/b.
a/b = 8.9443/4.4721 = 2
Therefore P partitions AB in a 2:1 ratio so that AP = 2*BP.

Answer: 2:1 ratio.