ChattyChen

Put each equation slope-intercept form (It would look like this):

y=-4x/a-8/a and y=-2x+b

for two equations to have infinite solutions, you need them to be the same equation. 

For the coefficient of x to match, a would have to be 2. this also means that if a is two, b has to be -4 since the y-intercept have to match so the ordered pair must be (2, -4)

(Sorry I do not have a picture or key for that operation thingy you have but I'll try my best)

so if |><| means (x+2)(y-3) and we're trying to find ((t)|><|(t+2))-((t+1)|><|(t+1)), first we must expand it

((t)|><|(t+2)) would have t represent x and (t+2) represent y so (t+2)((t+2)-3). We can expand that to t^2+t-2

Next we have ((t+1)|><|(t+1)) We do the same thing (t+1+2)(t+1-3) which expands to t^2+t-6.

(t^2+t-2)-(t^2+t-6)=-8

Pretty sure that's correct

Is there a picture of some sort or any information other than this? Because this is not enough information to answer the question unless the question is legit, then the answer would be 9 but I doubt it.

When y is 0 is when the ball hits the ground. We can treat this as a quadratic equation which will be

-16t^2+22t+45=0

factors into

(8t+9)(2t-5)=0

t=-9/8, 5/2

Since the answer can result in negative seconds, the answers is 5/2 seconds.

If the 3x3 and 10x10 square have the same proportions meaning they have same sized stamps and same sized creases, it's just a proportionality problem so take the area of the 10x10 over the 3x3 100/19. The multiply that by the length of the creases on the 3x3 sheet to get 200.

(Correct me if I'm wrong)

Yes, she will most definetely get her good night of sleep, infact, she'll get 17 hours of sleep.

starting from 7 PM saturday, 17 hours later it will be 12 PM on sunday then 1 hour to get from the gate to her apartment which will bring us to 1 PM. 1 hour later used to get ready for bed it will be 2 PM. That leaves us 17 hours left until 7 AM, which is the latest time that she can wake up.

Are you asking for the equation? If so the answer is:
y>=1/2x+3/2

 a + b  =  24      so    b = 24 - a

Sub this into the other equation

2a (24 - a)  + 10a  = 3(24 - a) + 257 

48a - 2a^2  + 10a  = 72 - 3a  + 257

-2a^2 + 58a   = 329 - 3a 

2a^2 - 61a + 329  = 0 

(2a - 47)(a - 7)  =  0

only one of the solutions for a is an integer and it is 7

7 + b = 24

b = 17

(7)(17)=119

To do this question you need to find the least common factor of 8 and 14, which is 80 so 80 days pass before they do their chores on the same day

A pentagon has 5 sides, therefore its rotational symmetry is 72 degrees, but that is not an obtuse angle so 2*72 is 144, which is an obtuse angle so therefore the obtuse angle is 144 degrees

The circumcenter is the perpendicular bisectors of a side of a triangle intersect.

cos(30)=1/2AB/x

X=1/2AB/cos(30)=5/(sqrt3/2)=10/sqrt3=5.77 units
 

Out of all of the possibilities, you can choose at least 4 green peppers out of those 6 peppers chosen at random 235 tims out of 5005 or simplified as 47/1001​