Answer:
x=1
y=-1
Step-by-step explanation:
they have already isolated y in both equations
label both equations
y=-x............1
y=3x-4........2
sub 1 into 2
-x=3x-4
-x-3x=-4
-4x=-4
x=1........ 3
sub 3 into 1
y=-(1)
y=-1
Complete the square for the given equation
x² - 2x + ____ + y² - 2y + _____ = 98
x² - 2x + (1) + y² - 2y + (1) = 98 + (1) + (1)
(x - 1)² + (x - 1)² = 100
(x - 1)² + (x - 1)² = 10²
Now the equation is in the form (x - h)² + (y - k)² = r²
Radius = 10
Answer:
21 r16
Step-by-step explanation:
Answer:
4 11/12
Step-by-step explanation:
4 x 2/3 = 8/12
3 x 5/4 = 15/ 12
8/12 + 15/12 = 23/12 = 1 11/12 + 3 = 4 11/12
Answer:
8 minutes
Step-by-step explanation:
Since the level of the tank needs to be at two-thirds its original level, then this means that Andrew needs to drain only one-third of the fish tank. Therefore the amount of time it would take can easily be solved with this 2-step equation...
6t = 144 *
.... first multiply the right side of the equation
6t = 48 ... next divide both sides by 6
t = 8
Finally, we can see that it will take Andrew 8 minutes to drain the tank to two-thirds of its original level.