Solve the problem 12 – (2 × 3)
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The coordinate pair (-4,5) could be the fourth vertex of the square.
<h3>Quadrilaterals</h3>There are different types of quadrilaterals, for example: square, rectangle, rhombus and trapezoid. Each type is defined accordingly to its length of sides and angles. For example, the square has all side equals and angles equal to 90°.
For solving this question, you should plot the given points as shown in attached image. Note that you have only two sides of a square, and you need a point (W) for completing the square.
As you have a square, all sides should have the same dimensions and all angles should equal to 90°. Therefore, the coordinates for the point W should result in equal and parallel sides XY and XZ. For this, from the attached image, you can see that the x-coordinate for the point W should be equal to the x-coordinate for the point Z. And, the y-coordinate for the point W should be equal to the y-coordinate for the point Y.
Thus, coordinate pair (-4,5) would be the fourth vertex of the square.
Read more about the quadrilaterals here:
Answer:
Step-by-step explanation:
For this case since the population follows an exponential model we have the general equation:
Where P(t) represent the population at time t. t represent the years since the starting year.
r represent the growth/dcay constant rate
For this case we have the initial condition given : and if we replace this into the general equation we have:
And the equation would be:
Now we can use the second condition given and replacing into the general formula we got:
We can divide both sides by 50000 and we got:
Now we can apply natural log on both sides:
And then:
So then our final equation would be given by: