Answer:
See below
Step-by-step explanation:
With center , h,k given as 3,2
standard form is
(x-3)^2 + ( y-2)^2 = r^2
r^2 is distance from center to point given
distance formula r^2 = ( 3-5)^2 + (2-4)^2
r^2 = 8
so the equation is then (x-3)^2 + (y-2)^2 = 8
B, product is multiplication so it is 3•m -4
Answer:
Davide's age is 10.
L'età di Davide è 10.
Step-by-step explanation:
The average age of Aldo, Bruno, Carlo and Davide is 16 years.
I am going to say that:
x is Aldo's age.
y is Bruno's age.
z is Carlo's age.
w is Davide's age.
Average of the 4 is 16 years.
This means that:
![16 = \frac{x + y + z + w}{4}](https://tex.z-dn.net/?f=16%20%3D%20%5Cfrac%7Bx%20%2B%20y%20%2B%20z%20%2B%20w%7D%7B4%7D)
![x + y + z + w = 64](https://tex.z-dn.net/?f=x%20%2B%20y%20%2B%20z%20%2B%20w%20%3D%2064)
If we do not consider Davide, the mean is 18. So
![18 = \frac{x + y + z}{3}](https://tex.z-dn.net/?f=18%20%3D%20%5Cfrac%7Bx%20%2B%20y%20%2B%20z%7D%7B3%7D)
![x + y + z = 54](https://tex.z-dn.net/?f=x%20%2B%20y%20%2B%20z%20%3D%2054)
Replacing in the first equation:
![x + y + z + w = 64](https://tex.z-dn.net/?f=x%20%2B%20y%20%2B%20z%20%2B%20w%20%3D%2064)
![54 + w = 64](https://tex.z-dn.net/?f=54%20%2B%20w%20%3D%2064)
![w = 10](https://tex.z-dn.net/?f=w%20%3D%2010)
Davide's age is 10.
L'età di Davide è 10.
Answer:
5
Step-by-step explanation:
To solve with calculus, distance is the integral of speed:
d = ∫ |v| dt
d = ∫₀⁴ |t − 3| dt
d = -∫₀³ (t − 3) dt + ∫₃⁴ (t − 3) dt
d = ∫₀³ (3 − t) dt + ∫₃⁴ (t − 3) dt
d = (3t − ½ t²) |₀³ + (½ t² − 3t) |₃⁴
d = [ (9 − 9/2 ) − (0 − 0) ] + [ (8 − 12) − (9/2 − 9) ]
d = 9/2 + 1/2
d = 5
You can also find this geometrically. Graph y = |x − 3|, then find the area under the curve. You will find it's the area of two triangles.
d = ½ (3)(3) + ½ (1)(1)
d = 5
It's important to note that distance is not the same thing as displacement. Displacement is the difference between where you start and where you stop. Distance is length of the path you take.