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Answers by Roberto C.

Christy, a segment that goes from a vertex of a triangle and is perpendicular to its opposite side is called...?  Yes!  The height. So, if segment CD is the height of ΔABC, and D lies on line AB, then Line CD is perpendicular to side AB.  Then the fence that you intend...

Perhaps this function should be written: p(x)=(-4x-1)/(x-5) If this is the case, then, what is the vertical asymptote (VA)?   Remember... the denominator can not be equal to 0.  So... what value of x will make x-5=0?  That vertical line will be your VA: x=? Now,...

Organize your polynomial in 2 groups: (3p^3 - 21p^2) - (p - 7) Now, factor the first group by GCF: 3p^2(p - 7) - (p - 7) Notice that (p - 7) is a common factor, then factor again by GCF: (p - 7)(3p^2 - 1) Finally, rearrange your answer: (3p^2 - 1)(p - 7)

b(2)+5b+6=0 (answer)

b2 + 5b + 6 = 0 This trinomial may be factored as the product of two binomials if we find two numbers such that: - Their product is equal to 6, and - Their sum is equal to 5 These two numbers indeed exist: they are 3 and 2: (3)(2) = 6; and (3)+(2) = 5 Then...

36y4(y + 12)3 + y5(y + 12)4 Let (y + 12) = u   Now rewrite the expression: 36y4u3 + y5u4     GCF: y4u3   y4u3(36 + yu)   Now, for the sake of simplicity, revert u=(y+12) inside the parenthesis only: y4u3(36...

19-8d = d-17   I advise my students to start with the unknown (d).  If you eliminate the smaller one, you will deal with positive values.  So, let's eliminate -8d; how? add 8d on both sides of the equal sign: 19-8d+(8d) = d-17+(8d)   The parenthesis are not...

Assuming the Transverse axis is horizontal and the center of the hyperbole is the origin, the foci are: A(250, 0) and B(-250, 0) ; thus c = 250 Now, let's figure out how far appart is P from A and B.  This is the fun part.  Ready?  OK. Since the speed of the signal is given...

Algeebra help (answer)

OK. Let's try again.  8/(x-2) + 8/(x+2) = 3  On the left side, the LCD is (x-2)(x+2): (8(x+2) + 8(x-2))/(x-2)(x+2) = 3     Also: (x-2)(x+2) = x2 - 4: (8x + 16 + 8x - 16)/(x2 - 4) = 3       Simplify the numerator...

- 2/3x < 6 (answer)

If your inequality is: (-2/3)x < 6, then you just need to multiply both sides by the reciprocal of -2/3.  Since you're multiplying by a negative number, you need to flip the inequality sign: (-3/2)(-2/3)x > 6(-3/2) Now, simplify:   x > -9 Finally, you may need...

word problem (answer)

Let: x = amount invested in fund 1, which earned 7%  and y = amount invested in fund 2, which earned 2% Set up a system of 2 equations: The total amount invested is the sum of the amounts invested in fund 1 plus the amount invested in fund 2: I -      x +...