Given A(-3, 6) and B(0, 6), what are the coordinates of point P that lies on segment AB, such that AP:PB = 2:1? A: (2, -2) B: (-
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✩ Answer:
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✩ Step-by-step explanation:
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✺ Quadratic polynomials can be factored using the transformation , where
and
are the solutions of the quadratic equation
:
✺ All equations of the form can be solved using the quadratic formula:
✺ The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction:
✺ Take the square root of :
✺ Multiply times
:
✺ Now solve the equation when ± is plus. Add
to
:
✺ Divide by
:
-OR-
✺ Now solve the equation when ± is minus. Subtract
from
:
✺ Divide by
:
✺ Optional : Factor the original expression using . Substitute
for
and
for
:
✩ Answer:
✺ <u>Factored Form</u>:
✺ <u>Exact Form</u>:
✺ <u>Graph Point Form</u>:
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