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Answers by Philip P.

Her height is reduced by a factor of 12 (5.5 in/66 in).  Her weight, which depends on her volume, will be reduced by a factor of 1/123:   Weight = (125 lbs)/123 = 125/1728 = 0.0723 lbs = 1.16 ounces

12·B ≥ 17   "at least 17" means 17 or greater.  To solve for B, divide both sides of the inequality by 12:   B ≥ 17/12

The sum of the measures of angle A and Angle B is 90:        A + B = 90   Angle A is 30 less than twice angle B:        A = 2B - 30   In the first equation, substitute 2B - 30 in place of A:       ...

f(x) = (-32x2/16900) + x = (-8/4225)x2 + x   This is a quadratic function, so its graph is a parabola.  In fact, it is a very large parabola, so at small scales it looks like a line.  Zoom out and you will see the parabolic shape.

SUPPLENET ANGLES (answer)

Supplementary angles add to 180 degrees.  Let θ be the angle supplementary to the angle whose measure is (6x - 5) degrees.   θ + 6x - 5 = 180   Solve for θ.

1 meter to 25 cm (answer)

1m = 100 cm   Scale factor = (25 cm)/(100 cm) = 1/4   Reduces to 1/4 scale

6r2 + 5rp - 21p2   You want two numbers that multiply to give 6*(-21) = -126 and add to give 5.  Answer is 14 and -9 (14*(-9) = -126 and 14 + (-9) = 14 - 9 = 5).        6r2 + 5rp - 21p2      6r2  + 14rp...

Hi Autum, one can only solve equations and what you have given us is an expression, not an equation. Equations have = signs.  All we can do with the expression is simplify it a bit by factoring a 2 out of the denominator:   2b(1/(2x+6) = 2b/(2x+6) = 2b/(2(x+3)) = b/(x+3)   If...