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Find the shortest distance between the point and the line (pre-calculus)

find the shortest distance between the point and the line Y= (2/7x)-(1/4)Point (5,-6) pls and thank you-Equation of the line: y = (2/7)x - (1/4) 28y = 8x - 7 8x - 28y - 7 = 0 Shortest distance of p

Probability Question! hurry!

the average age of CEOs is 56 years.Assume the variable is normally distributed.if the standard deviation is 4 years, find the probability that the age of a randomly selected CEO will be between 52 an

Can someone kindly help me find the Eigenvector for this 2x 2 matrix

Hi, Here is the question 1) Find the characteristic equation, eigvenvalues and their eigenvectors for A = [ 3 0 ] ......[ 5 4 ] I got the charateristic eequation, eigenvalues but i cant get the ei

What do I have to make on my last assignment in order to have a "B"

My current grade is 84.57. A B is a 86. My last assignment counts as 15%. If I make a 100 on this assignment how much will my grade go up? If you need any additional information please let me know.-L

Solve Log2, x + 2log2,3 = log2,(x+5) using logarithms

Help!! :(-All logs are to base 2 so leave that out. log(x) + 2*log(3) = log(x + 5) log(x) + log(9) = log(x + 5) ....... using rule a*log(b) = log(b^a) log(9x) = log(x + 5) ............ using rule l

Solve 3^(x^2-77)=9^(2x)

3^(x^2-77)=9^(2x)Solve for x. I got -7,11 i want to make sure its right and please explain how you got your answer. Thanks!-3^(x^2-77)=9^(2x) the above eqn can be rewritten as 3^(x^2-77)=3^2*(2x) as

Continuity Question in calculus BA for explanation, not answer

Define g(9) for the given function so that it is continuoous at x=9: g(x) = (6^2 - 486) / (6x-54) I need to know how to approach these types of problems, If someone could walk me through it, your he

Fairly easy question about convergence of this series

Can you please tell me HOW I prove that the following geometric series is either CONDITIONALLY or ABSOLUTELY convergent? sum of (-2/3)^n from n=1 to infinity-Using the ratio test, r = lim(n→∞) |(-2/3)

How to get -1 for the answer here? I keep getting positive 1!

The math problem is: Simplify the rational expression x-7 ----- 7-x First we notice that the numerator is exactly opposite the denominator, which of course means that the denominator is exactly

Please help me understand this math problem!

Verify that the x-values are solutions of the equation. 1. 2cos(x) - 1 = 0 (a) x = pi/3 (b) x = 5pi/3 can someone please explain how to verify please. I understand that you have to make 2cos(x) -

Calculus - partial derivatives, relative extreme values

Please help me find the relative extreme values of this function: f(x,y) = x^3 -2xy + 4y-Critical points: f_x = 3x^2 - 2y f_y = -2x + 4. Set these equal to 0 to see that x = 2 and thus y = 6. So, t

If a population grows........

If a population grows at a rate of r(t)people per year, what does ∫ r(t) from t=0 to 10 represent? Answer: It represents the total amount of people after 10 years Why is this the answer?-That is not

A package contains 13 resistors, 5 of which are defective. If 7 are selected, find the probability of gettin

Probability statistics question-Let D = defective let N = not defective DDDDDNN = (5/13)(4/12)(3/11)(2/10)(1/9)(8/8)(7/7) = 1 / 1287 But this event can happen 7c5 ways 7c5 ways = 21 21 / 1287 = 7 /

Complete this equation

find the missing exponents. show work please. x^3y^?(fill in exponent) times x^?(fill in exponent) = y^2-For y, its 2. For x, its -3 since you are adding exponents. Proof: x³y² * x^(-3) = x^(3 + (

Let f(x,y)=tan(6r-4), where r²=x²+y². Evaluate ∂f/∂x at (x,y) = (1,2)

Mistake: you may either type f(x,y)=tan[6sqrt(x^2+y^2)-4] or f(r)=tan(6r-4). F(x,y)=tan[6sqrt(x^2+y^2)-4]=> Fx={cos^2[6sqrt(x^2+y^2)-4][ 6x/sqrt(x^2+y^2)]+sin^2[6sqrt(x^2+y^2) -4][6x/sqrt(x^2+y^2)]}/
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