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June 19, 2013

I downloaded the game PacMan from the Internet, but it doesn't seem to work. When I try to start the PacMan software, all I get is a black computer screen and I briefly hear some...

Recall the following trig definitions:

sec(A) = 1 / cos(A);
csc(A) = 1 / sin(A);
tan(A) = [sin(A) / cos(A)];
1 = [sin(A) / sin(A)]

Substituting the definitions of sec(A), csc(A), and tan(A),...

Area of a circle = A = (pi) * (r ^ 2)
Circumference of a circle = C = 2 * (pi) * r
A = (1/2) * C * r = (1/2) * (2 * (pi) * r ) * r
A = (pi) * (r ^ 2) Q.E.D.

"Q.E.D." stands for "quod erat...

The way you have stated this problem, I do not think it is possible to prove it
as a valid trigonometric identity. Did you mean the following:

{1-tan(x)} {1+tan(x)} = 1 - {(sin(x))^2 /...

First, always remember to draw a picture of the problem. In this situation, you
have a triangle with two equal sides, denoted by the variable x. Using the
Pythagorean (?) Theorem, we arrive at the...

(2x-3)**(1/2)=5, where the two asterisks (**) denote raising (2x-3) to the (1/2) power. Recall that raising an expression to the 1/2 power is the same as taking
the square root of the expression.
...

I'm assuming you mean a number like 1-1/2 to denote a mixed number?
Let's use an example: (1-1/2)-(2-2/3). (One and a half minus two and two thirds.)
First, convert the fractions to fractions with...

The two equations pertaining to this word
problem are shown below:

Equation #1: W = 0.5L + 2
Equation #2: Perimeter = P = 2W + 2L = 97

Now, solve the above system of equations
for the...

Point A: (7,-8)
Point B: (7,7)

slope = m = rise / run = (y2 - y1) / (x2 - x1)
m = (7 - (-8)) / (7 - 7) = (7 + 8) / 0 = 15/0 = infinity

If you try to calculate 15 / 0, on your calculator,
you...

Question: 10 km / 20 min = ? Mi/hr

Answer:

First, convert 10 km to its equivalent in miles.
Second, convert 20 min to its equivalent in hours.

I'll do the second part for you:
20 min x (1...

Here's a shortcut to determine the percent:

40,000 * 2% = 40,000 * .02
2000 * 3% = 2000 * .03

Or, you could learn to use the percent key
on your calculator. :)

First, try to determine which method, either by substitution
or elimination, is better (or easiest) for solving the
problem. I am going to use the elimination method here.

We are given:
17x -...

acceleration = a = (v2 - v1) / t;
In other words, acceleration is the rate of change of velocity, per unit of time.
v2 = 50 mph = 50 mi/hr
v1 = 15 mph = 15 mi/hr
t = 13 sec
You must first...

First, remember to always draw a picture of your problem.
Next, resolve the two vectors into their respective
x and y components. After that, the respective
x and y components of the two vectors...

I would suggest trying to sum up your essay in a short phrase.
You said you did your homework on the subject, so try to sum up
Your essay in a few words. If you can, try to use a "catchy" phrase ...

"speed" is often referred to as "velocity" in physics. Average speed is simply the total
distance traveled divided by the total time it takes to travel this distance. If we use
the variable "v" to...

Equation 1: Y = 7X
Equation 2: Y + 6X = 39

Subtract -7X from BOTH sides, Eq. 1 becomes Y - 7X = 0

Next, multiply Eq. 1 by -1: -Y + 7X = 0

Now, we have Eq. 1 and Eq. 2:
Eq. 1 : -Y + 7X = 0...

I'm assuming you mean (28*a^5)/(7*a^3)? If that's the case, here's the
answer: 4*(a^2).

Explanation:

First, divide 28 by 7, to get 4 in the numerator. Next, divide a^5 by a^3.
To do this,...

I take it you want the equation in y = mx + b format?
-12x = 3 * (y - 3)= 3y - 9
Add 9 to BOTH sides of the equation:
-12x + 9 = 3y - 9 + 9
The 9's on the right, cancel out:
-12x + 9 = 3y...

9y^2-25=(3y+5)(3y-5)
Here's a shortcut:
(ay+b)(ay-b)=(ay)^2-b^2. This applies when multiplying two binomials where the b terms
are of opposite signs in the two binomials. In the above example,...

Sorry, I made a boo,boo. (5y-3)^2 = 25y^2-30y+9
(5y-3)^2 = (5y-3)(5y-3)
Remember the word "FOIL": First, Outer, Inner, Last
Multiply the First terms in the two binomials: 5y*5y=25y^2
Multiply the...

(5y-3)^2 = (5y-3)(5y-3)=25y - 15y -15y + 9 = 25y - 30y + 9
Remember the word "FOIL": First, Outer, Inner, Last
Multiply the First terms of the two binomials: 5y * 5y = 25y
Multiply the Outer terms...

2x - y = 6
-x + 3y = 10
Solving for y in the top equation, we have -y = 6 - 2x; which is the same as y = 2x - 6.
Next, substitute the value for y in the second equation, then solve for x:
-x +...

Let's see: x+y=102
x-y = 26
Adding the bottom equation to the top equation yields: 2x = 128. Solving for x, x= 128/2 = 64.
Next, setting x=64 in the top equation,
we have 64 + y...

y=(1/2)x-5. 1/2 is the slope (rise/run) and -5 is where the line intersects with the y-axis. To fine where the line intersects the x-axis, set y=0, and solve
for x. In this case, when y=0, x=10. To...

Use arctan (0.36/0.15) on your calculator. Arctan may also look like tan raised to the -1 power on your calculator. I hope this is of some help to you.

Does the "x" in y=3x-6x4 represent an algebraic variable or the multiplication operator?

Although the answer with the word "THE" sounds right, I always thought that using "his" is the proper way to refer to a person whose gender is not known. You could use the word "her," if you are into...