Answer:
first one
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Answer:
1.5 cm/s
Step-by-step explanation:
The graph shows the speed of a worm as a relationship between the distance it can travel in centimeters over time, or seconds. Since the graph forms a straight line, then we know that the speed of the worm is constant over time, meaning that he will move the same distance each second. Given the point (6,9) on the graph, this tells us that the worm moved 9 centimeters in 6 seconds or:

So, the ratio of centimeters over seconds is 9/6. However, unit rate is the distance every second or putting the ratio over '1'. We can do this by diving the numerator by the denominator or 9 ÷ 6 = 1.5 centimers/second.
Answer:
The new coordinate of image of point B (-4, 6) will be B'(-2, 3) when a rectangle ABCD is dilated by a scale factor of One-half with a center of dilation at the origin.
Step-by-step explanation:
Considering the vertices of the rectangle ABCD
When a rectangle ABCD is dilated by a scale factor of One-half with a center of dilation at the origin, then the coordinate of image of point B can be calculated by multiplying the x and y coordinates of point B with 1/2.
i.e.
B(-4, 6) → B'(-4/2, 6/2) = B'(-2, 3)
Therefore, the new coordinate of image of point B (-4, 6) will be B'(-2, 3) when a rectangle ABCD is dilated by a scale factor of One-half with a center of dilation at the origin.
Answer:
Step-by-step explanation:
The coordinates of a vertex are (h, k). If our vertex is (-3, -5), then h = -3 and k = -5. The vertex form of a parabola is
so if we fill in our h and k values, the equation becomes
and, simplified, is

Choice B.