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The slope of the perpendicular line = -7/2

So we have

y - (-4)  = (-7/2)(x - 2)   simplify

y + 4 = (-7/2)x + 7

y = (-7/2)x + 3    and this is slope -intercept form

order of operations (the way I was taught):

PEMDAS: parentheses, exponents, multiplication AND division, addition AND subtraction.

Final answer: 7

In this problem, we only have multiplication, addition, and subtraction.

First, do 4/2=2.

=17-12+2

Then, do 17-12.

=5+2

=7

You can solve this very easily with the Home Page Calculator. 

Hope this helped! 

Sorry! Please ignore this answer. My actual answer is down below (#4).

0.040 = 4 hundreths + N thousanths

0 tenths + 4 hundreths +  0  thousandths

Did you mean 12 1/3? If you didn't, my apologies. Reply if you meant something else :)

ANSWER: 12.3333333333 (repeating decimal)

First, convert 12 1/3 into an improper fraction.

1. 12*3=36

2. 36+1=37

answer: 37 / 3

Then, simply divide 37/3 (You can easily do it with this website's home page).

 = 12.333333333 

The answer is a repeating decimal; it goes on and on forever 

Welcome aboard.......guest is correct..........even if your answer isn't exactly correct, we often give points for a good effort.....

Answer as many questions as you can ACCURATELY. Somebody will check your answers. If they are accurate and detailed enough, then they will give you points.

Welcome back! I'm good, thanks

I assume this is   g(t) = 30[1− e^(−0.24t) ]

If so....here's the graph using "y" instead of g(t) :  https://www.desmos.com/calculator/bmr4y4mctj

Here are the values associated with the various t values   {0., 20.9642, 27.2785, 29.1803, 29.7531, 29.9256}

It we let t get extremely large........the term e^(-0.24t)  approaches 0

So....... 30 [ 1 - 0 ]   =  30 [1]  = 30

The graph shows this as well.......

I'm also using this!  Web2.0Calc is a fun and useful website to be on, especially the forum.

To view which users who are logged in and using this website right now, scroll to the bottom and you will see the users who are online. If you're not logged in (Guest), you won't be shown.

tan B  = opp/ adj =   4/3

2) Geometrically speaking, a parabola is defined as the set of points that are the same distance from a given point and a given line. The point is called the focus of the parabola and the line is called the directrix of the parabola.
Suppose P is a parabola with focus (4,3) and directrix y=1. The point (8,6) is on P because (8,6) is 5 units away from both the focus and the directrix.
If we write the equation whose graph is P in the form ax^2+bx+c, then what is a+b+c?

The vertex  of this parabola will lie at    (4,2)

And we have this form

y = a(x - h)^2 + k       and  (h,k)  = the vertex = (4,2)   and since (8,6) is on the graph, we can solve for "a" thusly

6 = a(8 - 4)^2 + 2

6 = a(4)^2 + 2

4 = 16a

a = 1/4

So....our equation is

y = (1/4)(x - 4)^2 + 2        expand and simplify

y = (1/4) [x^2 - 8x + 16] + 2

y = (1/4)x^2 -2x + 4 + 2

y = (1/4)x^2 - 2x + 6    and a = (1/4) ,  b = -2   and c = 6  ...so  ...  a + b + c =  (1/4) - 2 + 6 =  4 + 1/4  = 17/4

Here's a graph :  https://www.desmos.com/calculator/htcmqubuwp

1) The graph of (x-3)^2 + (y-5)^2=16 is reflected over the line y=2. The new graph is the graph of the equation x^2 + Bx + y^2 + Dy + F = 0 for some constants B, D, and F. Find B+D+F.

The original graph is a circle with a center at  (3, 5)  and a radius of 4 units.

If it is reflected across the line y = 2, the center of the new circle is (3, -1) and the equation is given by

(x - 3)^2 + ( y + 1)^2 = 16      expanding this we have

x^2 - 6x + 9 + y^2 + 2y + 1 = 16     simplify

x^2 - 6x + y^2 + 2y + 10  = 16

x^2 - 6x + y^2 + 2y - 6 = 0    and B = -6  and D = 2  and F = -6     so........B + D + F   =  -6 + 2 - 6 =  -10

Here's a graph of the situation : https://www.desmos.com/calculator/qjdm7ag3vb

I'm assuming that 29 MPG is the combined city/hwy mpg rate

1. using the combined city/hwy mpg rate, how many gallons will it take to get to pc?

343/ 29  ≈ 11.8 gal

2. 2. if gas was $2.09 per gallon, how much will it cost you to drive to pc? 

11.8 * 2.09   ≈ $24.66

 3. since you are driving, the only fair thing to do is to make your three friends pay for the gas. how much will each friend pay?

24.66 / 3  ≈ $8.22   each

22 pounds of potatoes cost $110. How many pounds would you get with $15?

$110 / 22 =$5 cost per pound

$15 / $5 =3 pounds can be purchased for $15.

SEE THE ANSWER POSTED UNDER YOUR 1ST. QUESTION.

You should try it yourself using this very good graphing calculator. If you don't understand something, then ask Melody or CPhill to explain it to you.

https://www.desmos.com/calculator

238 is not correct either. The answer is 308. You have to do combinations for each possibility and then add all of the combinations. The sum of the combinations is 308.

=.8059J =8.059 x 10^-1J

It would be 6.461* 10⁵

how would i put the number 646,100 in scientfic terms?

646,100 =6.461 x 10^5 in scientific notation.