Luke: 1 practice 1 lap, 2 practices 2 laps, 3 practices 3 laps, 4 practices 4 laps
Alex: 1 practice 3 laps, 2 practices 6 laps, 3 practices 9 laps, 4 practices 12 laps
Luke ran 3 laps for 3 practices, and Alex ran 9 laps for 3 practices.
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Answer:
Step-by-step explanation:
From your knowledge of multiplication tables, you know ...
48 = 6·8 = 3·2·2·2·2 = 3·2^4 . . . . a = 4
56 = 7·8 = 7·2·2·2 = 7·2^3 . . . . . . b = 3
I don’t understand your question
Answer:

Step-by-step explanation:
<u>Given equation</u>:

This is an equation for a horizontal hyperbola.
<u>To complete the square for a hyperbola</u>
Arrange the equation so all the terms with variables are on the left side and the constant is on the right side.

Factor out the coefficient of the x² term and the y² term.

Add the square of half the coefficient of x and y inside the parentheses of the left side, and add the distributed values to the right side:


Factor the two perfect trinomials on the left side:

Divide both sides by the number of the right side so the right side equals 1:

Simplify:

Therefore, this is the standard equation for a horizontal hyperbola with:
- center = (1, 2)
- vertices = (-2, 2) and (4, 2)
- co-vertices = (1, 0) and (1, 4)


The answer for 9 and 10 is B