Using the thin lens equation, prove focal length is equal to image distance

Using the thin lens equation, prove that the focal length of a lens is equal to the image distance when there is parallel incident light. 

factor out the GCF for 3x(7x + 1)- 2(7x + 1)

I am having difficulty on this problem factor out the GCF for 3x(7x + 1)- 2(7x + 1)

consider the equations f(x)=-6x-1 and g(x)=4x^2. What is the solution for (f+g)(x)?

These equations are from the college course Math 209.

08/12/14

what is y=log base 12x

solve for x in the equation y = log base 12 x  

08/12/14

if a number is about 400. What is the least it can be

If a number is about 400. What is the least it can be? What is the greatest it could be? Show your answers in pictures

solve using substitution y^2=x and x+2y+3=0

I need to solve using the substitution method, but i can't figure out how to do it with this problem. y^2 mean y squared.

08/12/14

how do you simplify the problem?

(a-5c2)-2 ⁄ a-5c

08/12/14

Let A = [2 3 2 5] and B = [6 2 4 -1] find A+B

The answer should be formatted as such [ ].

08/12/14

Julio is 36 years old and James is 11 years old. In how many years will Julio's age be twice James age?

I just watched someone solve this problem and I don't understand how this person got the answer that she got.

08/12/14

Change due.

If a customers change due is something like $5.99, or anything that ends in .99, what do I give them? 

08/12/14

solve this 3/8 / 2 3/4

show me how to solve  3/8 / 2 3/4

08/12/14

what is the usage of think and is this sentece correct ( I am thinking )

what is the usage of think and is this sentence correct  or not: ( I am thinking )

08/11/14

My question is over the log functions

Using the formula M = log(I/I0) find the I (as many multiples of I0) with M = 7.3

determine whether the given ordered pair is a solution of the system. (4,5) x + y = 9 x - y = -1.

Find the whether the ordered pair is a solution or not.

08/11/14

what is the values of x that are solutions to f(x)=0, where f(x)=3x^2+6x+7

what is the value of x that are soutions to f(x)=3x^2+6x+7

Usethe change of base formula and common logs or natural logs to appoximate the value of log12(7/8) using a calculator

If the answer is not an integer, enter it as a decimal rounded to the nearest hundredth if needed

Tell whether the table represents inverse variation. If so, write the inverse.......

If so, write the inverse variation equation and solve for y when x=40. tell how work supports conclusion     Travel time (x)     Speed (y)        36              |         50            |    ... more

08/10/14

Evaluate the definite integral ?sin2xdx

Evaluate the definite from -π/4 to π/4 ∫sin2xdx     -π/4 to π/4= -pi/4 and pi/4

08/10/14

If a man has 6 acres of land and deeds 3/4 of it to a son and the remainder to a nephew, how many square feet of land does the nephew acquire?

 how many square feet of land does the nephew acquire?

he Richter scale magnitude, R, of an earthquake of intensity I is defined as R=log(I/I0),where I0 is a small threshold intensity.

Find the magnitude of an earthquake with intensity 50,000,000I0. If the answer is not an integer enter it a a decimal rounded to the nearest hundredth if needed

08/09/14

Part A: if Jan and Jani salary ratio = ¾ Part B: if jan and sam salary ratio = 2/3 And total of salary = 1800$ The salary of everyone is =?

A: jan and jani salary ratio =3/4 B:jan and sam salary ratio =2/3 Total of salary of them are = 1800$ now every one salary is =?

08/09/14

Compute the higher order derivative :

f(t) =tcost, find the f ' ' ' ( 0 ),   thanks!!

08/08/14

cos(A+B)=cosA.cosB - sinA.sinB

How this formula is derived 

08/08/14

2x^2+x-1=0

Solve the quadratic by the quadratic formula

I need the balance of $2,500 principal earnings with 4% compounded quarterly, after 4 years the balance is?

answers are:   a) $2,931.45    b) $2,924.65     c) $41,600.00     d) $40,000.00

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