The equation of a circle is (x - h)² + (y - k)² = r²
(h, k) is the center of the circle
SO since h is 12 and k is 12, the center of the circle must be (12, 12)
For extra info, the radius is √100 so r = 10
Joe's Painting: 20x + 100 = y
Steve's Painting: 15x + 120 = y
x = hours worked
y = total income
We can find when the two equations intersect by making them equal to each other. That means we put an equal sign in the middle. So, it would look something like this:
20x + 100 = 15x + 120
First, we have to move the 100 by subtracting it from both sides.
20x = 15x + 120 - (100)
20x = 15x + 20
Then, we need to move the 15x by subtracting it from both sides.
20 - (15x) = 20
5x = 20
Lastly, we need to divide 5 from both sides.
5x = 20/5
x = 4
Therefore, Joe and Steve would have to work for 4 hours in order for their models to be equal to each other.
V=s/t
s=300 km = 300000 m
t=1 h and 30 min = 5400 sec
v=300/1,5= 200 km/h
or
v=300000/5400=55,5 m/s
It's 904.78.
The formula for the volume of a sphere is 4/3(pi)r^3. The diameter is 12. Half it to get the radius, which is 6. Plug 6 into the formula. The result is 904.77868.
Answer:
g(2) = 27 is the answer.
Step-by-step explanation:
If the function is g(x) = (5 - x)³
By expanding (5 - x)³ = 5³-3.5²x + 15x² -x³
g(x) = 125 - 75x + 15x² - x³
Now g(2) = 125 - 75×2 + 15×(2)² - 2³
g(2) = 125 - 150 + 60 - 8
= -25 + 60 - 8
= 35 - 8 = 27
Or directly putting the value x = 2 in g(x) we get
g(2) = (5 - 2)³ = 3³ = 27
Therefore g(2) = 27 is the answer.
