Oliver wants to run at least 30 miles this week she has already run 14 miles by Tuesday how many miles does she need to run each
1 answer:
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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)
