Answer:
Option A. -6.5
Step-by-step explanation:
we have

Solve for r
That means ---> isolate the variable r
Combine like terns left side of the equation

Divide by 0.5 both sides


Answer:
x = 1
Step-by-step explanation:
you can first find the two zeroes
that would be
x + 2 = 0
x - 4 = 0
x = {-2, 4}
then you average them
-2 + 4 = 2
2 / 2 = 1
the aos is 1
Answer:
(x - 2)² + (y - 3)² = 9
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (2, 3) and r = 3, hence
(x - 2)² + (y - 3)² = 9 ← equation of circle
we know that
The least
common multiple (LCM) of two or more numbers is the least
number, other than zero, that is a multiple of all the numbers.
In this problem, we are looking for the least common multiple of
and
So
Multiply
by 

therefore
On the
day after today, she will do both on the same day
the answer is

Total capacity = sum of the individual production capacities.
Here,
Total capacity = sum of f(m) = (m + 4)^2 + 100 and g(m) = (m + 12)^2 − 50.
Then f(m) + g(m) = (m + 4)^2 + 100 + (m + 12)^2 − 50.
We must expand the binomial squares in order to combine like terms:
m^2 + 8 m + 16 + 100
+m^2 + 24m + 144 - 50
---------------------------------
Then f(m) + g(m) = 2m^2 + 32m + 160 + 50
f(m) + g(m) = 2m^2 + 32m + 210, where m is the number of
minutes during which the two machines operate.