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the first one would be B ! square3/4 ? (:

One question per post.

There is no question here.

You could just simplify it to      x-2y=10

Hi Jenny,

Your second answer is correct but not the first one.  :)

Hint:

Sin (pi/3)=?

cos(pi/3)=?

Let's see who I agree with.

Find the value of B - A if the graph of Ax + By = 3 passes through the point (-7,2) and is parallel to the graph of x + 3y = -5.

parallel to the graph of x + 3y = -5.

\(3y=-x-5\\ y=-\frac{1}{3}x-\frac{5}{3}\\ \text{So the gradient of the line = } -\frac{1}{3}\)

The line will be   

\(y=\frac{-1x}{3}+b\\ Sub\;\;in\;\;(-7,2)\\ 2=\frac{--7}{3}+b\\ 2-\frac{7}{3}=b\\ b=\frac{-1}{3}\\ y=\frac{-1x}{3}+\frac{-1}{3}\\ 3y=-x-1\\ 3y+x=-1\\ -9y-3x=+3\\ A=-9,\quad B=-3\\ B-A=-3--9=6 \)

actually for the second pic i think its square3/2 pi ? so B

Starting with the purple figure,

(4x3) + 2(8x3) + 2(8x4) = 12 + 48 + 64 = 124cm^2

Next the yellow figure,

2(5x10) + 2(5x7) + (10x7) + ((10x7) - (4x3)) = 100 + 70 + 70 + 58 = 298cm^2

Total surface area = 124 + 298 = 422 cm^2

1 + cosx = 1/2,

cosx = -0.5

x = -2/3pi or -4/3pi

B is the answer

First, lets find the coordinates of D and E.

D is the midpoint of A(0,6) and B(0,0)

E is the midpoint of B(0,0) and C(8,0)

The coordinates of D and E are (0,3) and (4,0), respectively.

Since we know the coords of D and E, we can now find the equation for lines AE and CD.

Line AE is a line that passes through the points (0,6) and (4,0).

The slope of AE is (0-6)/(4-0) = -6/4 = -3/2

So AE is a line that has a slope of -3/2 passing through the points (0,6) and (4,0)

y = (-3/2)x + b

6 = 0 + b, 

b = 6

y = (-3/2)x + 6

Do the same process of finding the slope for line CD and plugging in coords to get the equation for line CD:

y = (-3/8)x + 3

Since F is the intersection between the two lines, all we have to do is put the two equations equal to each other and solve.

(-3/2)x + 6 = (-3/8)x + 3

x = 8/3

Plug that x value into any y to get

y = 2

And from there just add 2 and 8/3 to get:

14/3 or 4.66...

A line that is parallel to another line means that the slopes of the two lines are the same.

Since our slope is 1, the equation of our line is in this form: y = x + b

If the line passes through the point (3,2), we can plug the coordinates in to find b.

2 = 3 + b,

b = -1

Therefore, the equation of our line is : y = x - 1

What do you mean! I need help on this question! Thats why input it down jeez

After number 6,  #9 and  #2 leave.  

Halp someone

Write the equation of a line that is perpendicular to the given line and passes through a given point

4x - 12y = 2; (10, -1)

Hello Guest!

\(4x - 12y = 2 \)

\(y=\frac{1}{3}x-\frac{1}{6}\)

\(\color{blue}m=-3\\ {\color{blue}y=m(x-x_1)+y_1}\ point-direction\ equation\\ y=-3(x-10)-1\)

\(y=-3x+29\)

  !

If we make a table, we can list out all the cards.

RED Hearts: 1,2,3,4,5,6,7,8,9,10,11,12,13

RED Stars: 1,2,3,4,5,6,7,8,9,10,11,12,13

BLACK triangles: 1,2,3,4,5,6,7,8,9,10,11,12,13

BLACK circles: 1,2,3,4,5,6,7,8,9,10,11,12,13

Now that we have a table, we see we have bolded the ones we want. We crossed out the double ones. This is the formula for or probability. So, because we are counting the one bolded (6s are bolded too, just crossed additionally). So we have there are 26 reds, and 2 blacks that fit the circumstances. Therefore the probability is 26+2=28/52 (favorable/possible) cards, and simplifying 7/13. Therefore the answer is \(\boxed{\frac{7}{13}}\)

BTW, have you noticed that guests rarely get the answers right? I have. Not to be a hypocrite.

                     F O R M U L A S :

                P = 3{ [2( r / tan30º )] + 2r }   

                                or

                 P = 3 ( 4√3 + 2r )

KL / JL = LM / LN

LN = ( JL * LM ) / KL

Melody, thank you for the advice. :) My first instinct was to give you and EP a thumbs up, but as I reported before, I cannot. I think it may be a glitch, but I just am not able to give any hearts. SORRY. :(

B = Boys,  G = Girls

Well, there are only 5 ways you can group them together:

{B, B, B, B} | {B, B, B, G} | {B, B, G, G} | {B, G, G, G} | {G, G, G, G} (total: 5)

Probability that the two groups will end up in 4 boys and 4 girls is: 2 / 5

(a)

 \(-3(y+7)+39\le5(2-y)\\ -3y-21+39\le10-5y\\ -3y+18\le10-5y\\ 2y\le-8\\ \boxed{y\le-4}\)

(b)

\(2(7-v)+2v>15\\ 14-2v+2v>15\\ 14>15\\ \boxed{\text{no solution}}\)

Let the number of grams of 10%titanium needed=T
Then, the number of grams of 20% titanium needed =100 - T
0.1T + 0.2[100 - T] =0.16 * 100
0.1T + 20 - 0.2T = 16
- 0.1T =16 - 20 = - 4
T = - 4 / - 0.1
T = 40 grams of 10% titanium
100 - 40 = 60 grams of 20% titanium
Check: [40 grams x 0.1] + [60 grams x 0.2] =0.16 x 100 grams = 16 = 16

If I were you, I wouldn't be lazy and just copy and pasting, I would take the time to post a question and let viewers understand what you need help with.

How many pairs of positive integers (x,y) satisfy the equation \(x^2-y^2=14\)?

Hello Guest!

The equation does not satisfy any pair of positive integers (x,y).

  !

Right triangle ABC with a right angle at A has AB = 20 and AC = 15. Point D is on AB with BD = 2. Points E and F are placed on ray CA and ray CB, respectively, such that CD is a median of  CEF. Find the area of CEF.

IMPOSSIBLE...!

I think... ray AB must be included.

Two solutions for triangle CEF 

That's not correct. Check your reasoning; why does John work 4/5 days?