Search 73,938 tutors
FIND TUTORS

Kevin C.'s Resources

Answers
point slope (answer)

Hi, Lisa.   Remember that the point-slope form of a linear equation with point (x1, y1) and slope m:   y - y1 = m(x - x1)  and the slope-intercept form: y = mx + b.   Therefore, using the points (-5, -10), and (-9, 8), we find the slope: (8 - (-10))/(-9...

Answers

2x2 + 1 = 6x   First, put this in standard form:  2x2 - 6x + 1 = 0   Using a = 2, b = -6, and c = 1, the quadratic formula gives: x = (6 ±√(36 - 4(2)(1)))/4   So x = (6 ± √(36 - 8)/3 = (6 ± √28)/4 = (6 ± 2√7)/4 = (3 ± √7)/2  ...

Answers

Using the formula A = P(1 + r/n)^(nt)  where P = principal, r = rate, n = number of times per year, and t = number of years.   we get A = 6300(1 + .06/2)^(2*2) = 7090.71   I hope this helps.

Blogs

I am retired, so increasing my income is ok, but I find that as I interview my students, many of them have difficulty understanding what the teacher is trying to convey.  I love math and hope that I can help the students I work with to enjoy math as much as I do.   Kevin Caughlan

Answers

The segments that join the sides are ½ of the opposite sides.   So:  AB = ½GJ =>  3x + 8 = ½(2x + 24) => 3x + 8= x + 12 => 2x = 4 => x = 2.   So AB = 3(2) + 8 = 14.   AC = ½HJ and AC = HB.   Draw the triangle...

Answers

Remember that lnA + lnB = ln(AB), and 2lnA = ln(A2)   So ln|1+cosθ|+ln|1-cosθ| = 2ln|sinθ| = ln|(1 - cos2θ)| = ln|sin2θ|   Therefore, 1 - cos2θ = sin2θ.   This is an identity.  sin2θ + cos2θ = 1.   And can be proved using the...

Answers

OK.  This is using the basic slope y-intercept equation of old.  Let f(x) = lnx.   Then f(1) = 0, f'(x) = 1/x and f'(1) = 1   In other words, let your point be (a, f(a)) instead of (x1, f(x1)) and m = f'(a)   Since x = 1, let x1 = a = 1.   Then...

Answers

The equation for continually compounded interest is:  A = Pert, where   A = final amount, P = principal invested, r = rate in decimal, and e is the constant.   Since you want to double your investment, let A = 2p.   Thus makes the equation 2P = P e.08t   So:...

Answers
related rates (answer)

So, V = (1/3)πr2h,  and h = 14 m., when d = 6.5 m. = 13/2 m.,  which means r = ½d = 13/4 m.   dV/dt = (-0.008 + k) m3/min  (leaking 0.008 and increasing by a constant,m k) at the time when h = 2.5 m. and dh/dt = +.28 m/min.   I would stat by finding...

1 2 3 4 5