We're being asked to find the values of y for ![\sqrt[3]{x}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Bx%7D%20)
for specific values of x. Basically, we are taking the cube roots of these numbers.
![r(-2.197) = \sqrt[3]{-2.197} = -1.3\\\\ r(-1.331) = \sqrt[3]{-1.331} = -1.1\\\\ r(0) = \sqrt[3]{0} = 0 \\\\ r(1.331) = \sqrt[3]{1.331} = 1.1\\\\r(2.197) = \sqrt[3]{2.197} = 1.3\\\\r(-3.375) = \sqrt[3]{-3.375} = 1.5\\\\r(4.913) = \sqrt[3]{4.913} = 1.7\\\\](https://tex.z-dn.net/?f=r%28-2.197%29%20%3D%20%5Csqrt%5B3%5D%7B-2.197%7D%20%3D%20-1.3%5C%5C%5C%5C%20r%28-1.331%29%20%3D%20%5Csqrt%5B3%5D%7B-1.331%7D%20%3D%20-1.1%5C%5C%5C%5C%20r%280%29%20%3D%20%5Csqrt%5B3%5D%7B0%7D%20%3D%200%20%5C%5C%5C%5C%20r%281.331%29%20%3D%20%5Csqrt%5B3%5D%7B1.331%7D%20%3D%201.1%5C%5C%5C%5Cr%282.197%29%20%3D%20%5Csqrt%5B3%5D%7B2.197%7D%20%3D%201.3%5C%5C%5C%5Cr%28-3.375%29%20%3D%20%5Csqrt%5B3%5D%7B-3.375%7D%20%3D%201.5%5C%5C%5C%5Cr%284.913%29%20%3D%20%5Csqrt%5B3%5D%7B4.913%7D%20%3D%201.7%5C%5C%5C%5C)
Write the first five terms of the geometric sequence with the given 1st term and the common ratio.
1 answer:
You might be interested in
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:
