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.
Pretty sure that's correct
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.