Answer:
x-int: (-2,0)
y-int: (0,1.333)
Step-by-step explanation:
Solving for a variable means to rewrite the equation so that the desired variable is alone on one side. So, we have to "move" all the other variables/constants in order to make this happen. We are allowed to add/subtract the same quantity from both sides, or to multiply/divide both sides by any non-zero number.
Let's start with the first example: we are given
11. 
the variable 
is not alone on the right hand side because it is multiplied by 
. We can reverse this by dividing both sides by : the equation becomes
So, we have written the equation as 
, which means that now sits alone on one side of the equation, and thus we have solved the equation for !
Similarly, we do all the others:
12. 
Subtract 
from both sides to get
13. 
Subtract 
from both sides to get
Now divide both sides by 
to get
14. 
Multiply both sides by 2:
Divide both sides by 
:
Answer:
285,753 cm³/min
Step-by-step explanation:
The rate of change of volume is the product of the water's surface area and its rate of change of depth.
At a depth of 2 m, the water has filled 1/3 of the 6 m depth of the tank. So, the radius at the water's surface will be 1/3 of the tank's radius of 2 m. The water's surface area is ...
A = πr² = π(2/3 m)² = 4π/9 m²
The rate of change of depth is 0.2 m/min, so the volume of water is increasing at the rate ...
dV/dt = (0.20 m/min)(4π/9 m²) = 8π/90 m³/min ≈ 279253 cm³/min
This change in volume is the difference between the rate at which water is being pumped in and the rate at which it is leaking out:
2.8×10⁵ cm³/min = (input rate) - 6500 cm³/min
Adding 6500 cm³/min to the equation, we get ...
input rate ≈ 285,753 cm³/min
Answer:
Reflections, translations, rotations, and combinations of these three transformations are "rigid transformations".
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
10+3=13 adding 4 more =17 there you go hope that help
