36....we need to break this down...12 * 3 = 36
12 * 3....we can break this down because 12 is not prime...4 * 3 = 12
4 * 3 * 3...we can break the 4 down because it is not prime
2 * 2 * 3 * 3 <==== prime factorization
We know that
if P is the centroid of triangle ABC
so
PD=(1/3)*BD
BD=3*PD-----> BD=3*3-----> BD=9 units
the answer is
BD=9 units
Answer:
A = 5x³ + 17x² - 35x - 30
Step-by-step explanation:
the shaded area (A) is calculated as
A = outer area - inner area
= (5x + 3)(x² + 4x - 10) - 3x(2x - 1) ← distribute parenthesis
= 5x³ + 20x² - 50x + 3x² + 12x - 30 - (6x² - 3x)
= 5x³ + 23x² - 38x - 30 - 6x² + 3x ← collect like terms
= 5x³ + 17x² - 35x - 30
Answer:
The exponential model is 
.
Step-by-step explanation:
The exponential model can be modelled by the following mathematical expression:
(1)
Where:
- Independent variable.
- Dependent variable.
- Coefficients.
If we know that 
and 
, then we get the following system of equations:
(2)
(3)
If we divide (3) by (2), we calculate the value of 
:
And by (2), we determine the value of 
:
The exponential model is .
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