<h3>
Answer: True</h3>
The key word here is "may" meaning that we could easily have 3 rational roots as well. An example of a cubic having 3 irrational roots would be
(x-1)(x-2)(x-3) = x³ - 6x² + 11x - 6
This has the rational roots x = 1, x = 2, x = 3.
However, we could easily replace 1,2,3 with any irrational numbers we want. So that's why the statement "a cubic has three irrational roots" is sometimes true.
In some cases, a cubic may only have 1 real root and the other 2 roots are imaginary.
Answer:
x = 12
Step-by-step explanation:
The product of the length of the secant segment and its external part equals the square of the length of the tangent segment.
3*x = 6^2
3x = 36
Divide each side by 3
3x/3 = 36/3
x = 12
Answer:
.00227 or 5/2197
Step-by-step explanation:
following the basic rules of PEMDAS, we know that we have to solve for the exponent first.
so.... 5/2197
as a decimal, this is .00227...
Answer:
48cm^2
Step-by-step explanation:
You first find the area (l * w) of the first rectangle on the top.
4 * 2 is 8
Then you find the area of the rectangle on the bottom.
5 * 8 is 40
Finally you add the area's together.
48
Vertical shift is -2. Horizontal shift is 1. Check the box that says reflect over x-axis. Horizontal shrink should be 4. Then to check if it looks right go to Desmos.com and in the graphing calculator put in y=-4(x-1)^2-2 and see if it looks like the one you did in your work
