Answer:
q=(1,5) t=(-2,3)r=(3,-1)s=(0,0)
Step-by-step explanation:
See picture for answer and solution steps.
Answer:
Step-by-step explanation:
If t is the number of days since Sofia took the medication of 10 mg, then the amount of medication in her system after t days will be 
.
So, the concentration of medicine in blood decreases by a factor of one half every day.
If we count the number of days from today and Lexi takes 10 mg of the same medicine four days later then the amount of medicine left on her body after t days will be . (Answer)
Answer:
after 10 months
Step-by-step explanation:
Let x be the number of months and y be the amount they still owe.
Sin Ian borrows $1000 from his parents, then the y-intercept b= 1000 since he owes $1000 when x = 0. He pays them back $60 each month The slope is then m = -60 . Substituting in b = 1000 and m = -60 into the slope-intercept form of a line then gives y= mx + b=-60x +1000.
Sin Ken borrows $600 from his parents, then the y-intercept b = 600 since he owes $600 When x= 0. He pays them back $20 per month so the amount he owes decreases $20 each month. The slope is then m = -20 . Substituting in
b= 600 and m = -20 into the slope-intercept form then gives y = mx +b = -20x + 600.
They will owe the same amount when they have the same y-coordinate. Therefore -60x+ 1000= y= -20x+600. Solve this equation for x:
-60x+ 1000 = -20x+ 600
1000 = 40x+ 600
400 = 40x
10=x
They will then owe the same amount after 10 months.
Answer:
x = 2√2
Step-by-step explanation:
This is a 45-45-90 triangle. This means that if the legs are x, then the hypotenuse is x√2.
In the case, the hypotenuse is already 4. So we have the equation:
x√2 = 4
Multiply both sides by √2
2x = 4√2
Divide both sides by 2
x = 2√2
