If we join the points we are gonna end up with a triangle, from there by finding the centroid of the triangle we will get a point which is equidistant from all the three points given in the diagram.
Formula for Centroid:
It's a binomial times a binomial, so you FOIL
First multiply the First numbers
3z*z = 3z(^2)
Then multiply Outers:
3z* -4 = -12z
Nest, Inners:
9*z = 9z
Finally, the Lasts:
-4*9 = -36
Then, throw it all together in descending order, starting with the variable of highest degree to lowest:
3z^2 - 12z + 9z - 36
Last of all, simplify coefficients with like terms and you're good to go:
3z^2 - 3z - 36
Hope this helps!
In three years the Marlin's truck is worth 13,440$
To find percentage of a number, multiple it with in 0. Of the number.
Example: 28,000 ×. 48
That equals 13,440
So 48% of 28,000 is 13,440
Answer: As an inequality —> -5 < w < 1
Answer:
The dolphin will be above the surface of the water for 2 seconds.
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots
such that
, given by the following formulas:



The height of the dolphin after t seconds is given by:

According to Micha's model, how long will the dolphin be above the surface of the water?
It stays above the surface of the water between the first and the second root. Initially, it is below water, when the first time for which
it crosses the surface upwards, and then the second time for which
it crosses the surface downwards.
We have to find these roots. So


Multiplying by -16




4 - 2 = 2
The dolphin will be above the surface of the water for 2 seconds.