<h2>Answer : 144 cents</h2>
Step by step explanation
<u>Given: cost of 21 inches of wire costs 63 cents</u>
<u>Cost of 1 inch wire = 63/21 = 3 cents</u>
<u>Cost of 48 inches of wire = 48×3 = 144 cents</u>
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Answer:
b. reflection
Step-by-step explanation:
just took the test
An infinite series converges when abs(r) < 1.
Therefore, an infinite series converges for r = -2/3 and 3/4
Answer:
29107
Step-by-step explanation:
Every next 'level', a ring of balls is added.
The ring has 6 sides of n balls, but you would then count all 6 corners double, so you have to subtract 6.
So Bₙ = Bₙ₋₁ + 6n - 6
This gives you a sequence of 1, 7, 19, 37, 61, 91, 127, 169, 217, 271, 331, ...
All the way up to 29107 at 100 balls.
Answer: (1,5) (...midpoint..., ...negative reciprocal...)
Step-by-step explanation:
What is the line of reflection? It is the line across which the point is reflected. By definition of reflection, the distance of the preimage and the image from this line are the same. Since the distances are the same, they meet exactly halfway from each other. This means if you find the midpoint of the preimage and image you find a point on the line of reflection. But one point is not enough. Slope or another point is necessary. Slope is a lot easier to get.
Think about it. The line of reflection will always be perpendicular to the line connecting the preimage and image. Therefore its [line of reflection] slope will be the negative reciprocal of the slope of the preimage and image. Now you have slope and a point and thus a defined line of reflection
Hope this is helpful :)