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what is latex

The number of distinct points in the xy-plane common to the graphs of (x + y - 5)(2x - 3y + 5) = 0 and (x -y + 1)(3x + 2y - 12) = 0

Notice that this will  be true whenever

x + y  - 5 =  0      and

x - y + 1 =   0                        add these

2x  - 4   =  0

 x = 2

And y = 3

And  note that these two values make  (2x - 3y + 5)  =  0    and ( 3x + 2y - 12)  = 0

So.....the common point to both graphs is  (2,3)

See the graphs here :  https://www.desmos.com/calculator/rwobs7w4hu

In rectangle ABCD, we have A=(6,-22), B=(2006,178) , and D=(8,y), for some integer y. What is the area of rectangle ABCD?

The slope from A to B is  [ 178 - -22] / [ 2006 -  6 ]    = 200/ 2000 =  1/10

So...the slope between  A and D will have a negative reciprocal slope....so we have

[ y - - 22 ] / [ 8 - 6 ] = -10

[ y + 22] [ 2]  = -10

y + 22 =   -20

y = -2

So D =  (8, - 2)

And the distance from A to B =   sqrt [ (2006 - 6)^2 + (-22 - 178)^2 ]  = sqrt [ 2000^2 + 200^2 ]  = sqrt (4040000)

And the distance from A to D is  sqrt [ (8 - 6)^2 + (-22 - - 2)^2 ]  = sqrt [ (4 + 400] = sqrt (404)

So....the area of ABCD =   sqrt (4040000)*sqrt (404) =  sqrt (404000 * 404 ) =   40,400 units^2

ahhh that makes sense thank you!! 

thank you so much!!

x^2 + 12x + 36 + 25 = 0

(x^2 + 12x + 36) + 25 = 0

(x + 6)^2 + 25 =  0

( x + 6)^2 =  -25       take both roots

x + 6   =   ±√(-25)

x + 6  =  ±5i

x = -6 + 5i      or  x =   -6 - 5i

Stop being so lazy and at least attempt to make it readable.

Put you more difficult LaTex into the LaTex box and see if you can make it read properly.

try deleting the bits that come up red. 

At the start of my temporary job, I needed to load an average of 20 boxes a day in order to finish my job on time. At first I loaded 90 boxes a day. I then had 6 days left to load the remaining 12000 boxes. How many did I have in all for this temporary job?

Yes this is a very hard question for a little kid. Your teacher must think that you are smart. :)

I don't think the question makes sense.  Are you sure your numbers are copied correctly ?

1.If x^2-7x+c=(x+a)^2 for some constants a and c then find a

x^2 - 7x + c  =  x^2 + 2ax + a^2

So....equating coefficients

2a = -7        and 

c = a^2

So.....

a = (-7/2)       and c = a^2  =  (-7/2)^2 =  49/4  

(x^2 - 82)^2 = 324

(x^2 - 82)^2 - 324 = 0      factor as a difference of squares

[ (x ^2 - 82 ) - 18  ]  [ (x^2 - 82) + 18] = 0

(x^2 - 100) (x^2  - 64)  =  0

(x + 10) (x - 10) (x - 8) (x + 8)  = 0        

Setting each factor to 0 and solving for x we have that

x = -10, 10, 8, -8

Is It Hard? Now You Know How I Feel. I'm Only A Sixth Grader! And I Get All These Hard Questions!

all right triangles

ALL right triangles.

Пожалуйста, задавайте только один вопрос в каждом сообщении.

- 2 +5.83531/.06336 = x

x = 90.0977

x is around 90.09

https://web2.0calc.com/questions/bob-jumping-easy-question

IDK

it was supposed to be jump anyways according to math league

This doesn't make sense.....how can the total number of runs be "3 times less" than what they were 3 runs ago???

Let the time at both speeds = T

So

Distance at 60 mph + Distance at 20 mph  = 150

60T + 20T =  150

80T = 150

T =  150 / 80  =   15/8   hrs at both speeds

So.....the total time =  15/8 + 15/8 =   30 /8 hrs   = 3.75 hrs

60 m/h * x hr    + 20 m/h * x hr   = 150 m

80x = 150

x=1.875  hr       at each speed   =  3.75 hours total  = 3 hr 45 min total travel time    

1.875(60)  + 1.875 (20) = 150

First one is true

Second is false  (an acute angle measures < 90 degrees )

Third is false....this is an obtuse angle

The last is false .....a relex anlgle measures > 180 degrees but < 360 degrees

(2 pi / 3  =   120 degrees.....so....not a refex angle )

Wellllll........ I don't accept checks....how much Bitcoin do you have ??    HaHa   

You are welcome....hope you now understand a bit better    

   8 are white out of the 25    so prob of grabbing a white one  is    8/25

Thank you!